Walkers (i.e., bouncing droplets coupled to a local Faraday wave) are sent on an orthogonal standing wave. The trajectories of successive walkers form a straight-propagating beam toward the wave that splits into three distinct paths during the interaction with the wave. At the end of the interaction…

[Phys. Rev. E 113, 055104] Published Fri May 08, 2026

Micronanorobotic swimmers have promising potential for future biomedical tasks such as targeted drug delivery and minimally invasive diagnosis. An efficient method for controlled actuation of such nanoswimmers is applying a rotating external magnetic field, resulting in helical corkscrewlike locomot…

[Phys. Rev. E 113, 055103] Published Wed May 06, 2026

A fluid with broken time-reversal symmetry would exhibit odd transport coefficients, such as odd viscosity, thermal conductivity, and diffusion coefficient, which may fundamentally alter the fluid properties and significantly influence the structure and dynamics of immersed objects. Here, we develop…

[Phys. Rev. E 113, 055102] Published Tue May 05, 2026

This paper introduces a data-driven framework for constructing accurate and general equivariant models of multiscale phenomena which does not rely on specific assumptions about the underlying physics. This framework is illustrated using incompressible fluid turbulence as an example that is represent…

[Phys. Rev. E 113, 055101] Published Mon May 04, 2026

In recent years, significant progress has been made in Fokker-Planck (FP) approximations of the Boltzmann equation, where binary collisions are modeled as drift and diffusion processes in velocity space. To address the discrepancy in the Prandtl number for the original linear FP model, several modif…

[Phys. Rev. E 113, 045107] Published Tue Apr 28, 2026

The drag force on planar structures of arbitrary shape is derived in free molecular flow using gas kinetic theory. The theory is formulated by considering the anisotropic intermolecular potential between the particle and gas molecules, in the limits of specular and diffuse scatterings. The drag forc…

[Phys. Rev. E 113, 045106] Published Mon Apr 20, 2026

We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We further show that the Chapman-Enskog series diverges everywhere except at the global equilibrium for an explicit example, …

[Phys. Rev. E 113, 045105] Published Tue Apr 14, 2026

The Madelung equations offer a hydrodynamic description of quantum systems, from single particles to quantum fluids. In this formulation, the probability density is mapped onto the fluid density and the phase is treated as a scalar potential generating the velocity field. As examples of potential fl…

[Phys. Rev. E 113, 045104] Published Mon Apr 13, 2026

An analytical solution based on a diffuse-interface model is presented for an isothermal evaporation problem at subsaturated vapor pressure. The macroscopic equations are derived from the free-energy formulation widely used in the lattice Boltzmann literature, distinguishing our approach from conven…

[Phys. Rev. E 113, 045103] Published Fri Apr 10, 2026

The generation of skin friction in a spatially evolving turbulent boundary layer at a Mach number ${\text{Ma}}_{\infty }=2.9$ is analyzed using direct numerical simulation (DNS). Particular attention is paid to clarifying the impact of the turbulent/nonturbulent interface (TNTI) height on the skin friction. In contrast…

[Phys. Rev. E 113, 045102] Published Tue Apr 07, 2026

This study examines interscale energy transfer, conventionally denoted as the “energy cascade,” in forced homogeneous isotropic turbulence. By employing spatial filtering techniques, the turbulent kinetic energy is decomposed into distinct large- and small-scale components, as well as local- and sub…

[Phys. Rev. E 113, 045101] Published Wed Apr 01, 2026

Topological entropy serves as a viable candidate for quantifying mixing and complexity of a highly chaotic system. Particularly in turbulence, this is determined as the exponential stretching rate of a fluid material line that typically necessitates a Lagrangian description. We extend our recent wor…

[Phys. Rev. E 113, 035107] Published Mon Mar 30, 2026

Numerical simulations of surface acoustic wave (SAW)-induced acoustic streaming are highly sensitive to the choice of second-order boundary conditions. This study systematically compares the no-slip (NS) and Stokes slip (SD) boundary conditions through different numerical approaches. Two- and three-…

[Phys. Rev. E 113, 035105] Published Wed Mar 25, 2026

We derive the quantum potential directly from the material derivative of the osmotic velocity and formulate a two-fluid model that reproduces the Madelung equations. Interactions between the two fluids are included but remain secondary. The framework is generalized to incorporate electromagnetic fie…

[Phys. Rev. E 113, 035106] Published Wed Mar 25, 2026

In this work, we investigate the possibility of suppressing injection-driven, viscous fingering instabilities in a radial Hele-Shaw cell, via the action of centrifugal forces. We consider the situation in which an inviscid fluid of negligible density is injected into a viscous and denser one, while …

[Phys. Rev. E 113, 035103] Published Tue Mar 24, 2026

The interaction between flexible bodies and fluids is very complex, however, studying this mechanism helps us understand how natural plants deform in response to fluid flow to prevent structural damage. Due to the complexity of fluid-structure interaction, there is a lack of methods for quickly and …

[Phys. Rev. E 113, 035104] Published Tue Mar 24, 2026

How a magnetic-bead-laden droplet is manipulated by a magnetic field remains a challenging topic of quantitative investigation. In this paper, we propose a theoretical model to investigate the equilibrium states of a magnetic-bead-laden droplet placed over either a bottomed superhydrophobic cylindri…

[Phys. Rev. E 113, 035102] Published Wed Mar 11, 2026

We develop the Kazantsev theory of small-scale dynamo generation at small Prandtl numbers near the generation threshold and restore the concordance between the theory and numerical simulations: the theory predicted a power-law decay below the threshold, while simulations demonstrate exponential deca…

[Phys. Rev. E 113, 035101] Published Mon Mar 02, 2026

Active Stokesian suspensions are conventionally understood to generate dipolar stresses that destabilize aligned states in the bulk and drive systemwide spatiotemporally chaotic flows. Here, we report dynamics in suspensions of torque-driven spinning chiral particles that exhibit a distinct and prev…

[Phys. Rev. E 113, L023101] Published Thu Feb 26, 2026

An experimental investigation was conducted to explore the interplay of turbulence and noninertial effects introduced by off-axis rotation on isotropic-turbulence dynamics using tomographic particle image velocimetry. A cubic box, generating isotropic turbulence with the aid of eight mixers position…

[Phys. Rev. E 113, 025104] Published Thu Feb 19, 2026

The forcing of a micron sized gas bubble by an acoustic traveling wave in water is considered using a model which includes axisymmetric shape mode interactions to third order. In all cases, the resultant bubble motion is predicted to consist of small scale periodic oscillations superimposed upon a l…

[Phys. Rev. E 113, 025103] Published Wed Feb 18, 2026

This paper explores the catastrophic energy transformations, in particular the ones leading to the generation of a flow in a weakly rotating self-gravitating fluid/gas found, for instance, in the vicinity of a massive compact object. Because of the similarity in the governing equations, the system d…

[Phys. Rev. E 113, 025102] Published Fri Feb 13, 2026

We present a theoretical investigation of the mixing dynamics of two constituent fluids within a soft rotating microfluidic channel. We solve a coupled system of transport equations, governing the mixing dynamics in this endeavor, with the associated symmetric and antisymmetric boundary conditions u…

[Phys. Rev. E 113, 025101] Published Mon Feb 02, 2026

Electrolyte-filled channels with modulated wall charge distribution subjected to an applied DC electric field form time-independent vortices whose sense of circulation is determined by the field direction [Phys. Rev. Lett. 75, 755 (1995)]. In this paper, we show that an electrolyte in a channel or c…

[Phys. Rev. E 113, 015106] Published Fri Jan 30, 2026

This work investigates the dynamics of dual-drop impact on a solid surface, encompassing both simultaneous and nonsimultaneous side-by-side impact of equal-sized drops, as well as successive impact of unequal-sized drops. Numerical simulations are performed using smoothed particle hydrodynamics meth…

[Phys. Rev. E 113, 015105] Published Thu Jan 29, 2026

A single droplet can be effectively isolated from a capillary liquid jet by applying a short-duration velocity oscillatory pulse at its exit from the nozzle outlet. The previous temporal analysis of F. J. García et al. [Phys. Rev. E 100, 053111 (2019)], which modeled the jet as an infinite liquid c…

[Phys. Rev. E 113, 015104] Published Tue Jan 27, 2026

Vascular networks exhibit a remarkable diversity of architectures and transport mechanisms across biological systems. Inspired by embolism propagation in plant xylem, where air invades water-filled conduits under negative pressure, we study air penetration in compliant one-dimensional hydrodynamic n…

[Phys. Rev. E 113, 015103] Published Wed Jan 14, 2026

We investigate the wrinkling dynamics of a long, flat filament immersed in a viscous fluid subjected to compression at a constant rate. Typical wrinkling dynamics proceed through three stages: initiation, development, and relaxation. The first stage, during which high mode perturbations increase exp…

[Phys. Rev. E 113, 015102] Published Tue Jan 13, 2026

A shell model can be considered as a self-similar chain of interacting triads, where each triad can be interpreted as a nonlinear oscillator that can be mapped to a spinning top. Investigating the relation between phase dynamics and intermittency in such a chain of nonlinear oscillators, it is found…

[Phys. Rev. E 113, 015101] Published Fri Jan 09, 2026

Immiscible two-phase flow in porous media occurs in many processes, such as enhanced oil recovery (EOR), as well as oil spill and soil remediation. These processes involve a fluid displacing another immiscible fluid within the confines of a heterogeneous porous structure. The invasion pattern genera…

[Phys. Rev. E 112, 065108] Published Fri Dec 26, 2025

Extensive optical measurements of canonical turbulent pipe flows have revealed the existence of structural boundary states (SBSs)—near-wall low-speed streaks strongly correlated with pairs of counter-rotating quasistreamwise vortices. In this study, we investigate the number fluctuations of these st…

[Phys. Rev. E 112, 065106] Published Mon Dec 22, 2025

Cavitation is a process where bubbles form and collapse within a fluid with dynamic, spatially varying pressure. This phenomenon can concentrate energy density by 12 orders of magnitude, creating light-emitting plasma or damaging nearby surfaces. A key question in cavitation theory and experiments i…

[Phys. Rev. E 112, 065107] Published Mon Dec 22, 2025

We present a demonstration of finite-time gradient blow-ups in Israel-Stewart (IS) theories with $1+1\mathrm{D}$ plane symmetry, mathematically showing the existence of smooth initial data that can evolve into shocks across three regimes: pure bulk viscosity, shear viscosity, and diffusion. Through numerical s…

[Phys. Rev. E 112, 065105] Published Fri Dec 19, 2025

This work investigates the influence of convective transport within a sedimenting drop on the exit time of a colloidal particle. Using Brownian dynamics simulations, we compute exit times for particles originating from various locations inside the drop over a range of Péclet numbers ($\text{Pe}$). The Péclet…

[Phys. Rev. E 112, 065104] Published Wed Dec 17, 2025

Active particles are nonequilibrium entities that uptake energy and convert it into self-propulsion. A dynamically rich class of inertial active particles having features of wave-particle coupling and wave memory are walking/superwalking droplets. Such classical, active wave-particle entities (WPEs)…

[Phys. Rev. E 112, 065103] Published Mon Dec 08, 2025

Perfluorohexane is a biocompatible material that serves as a liquid core for acoustically responsive agents in biomedical applications. Despite its relatively widespread usage, there is a lack of experimental data determining its thermodynamic properties. This challenges numerical simulations to pre…

[Phys. Rev. E 112, 065101] Published Mon Dec 01, 2025

In standard rotating Hele-Shaw cell flows, an initially circular fluid drop, surrounded by an outer fluid of negligible density and viscosity, is centered at the rotation axis of the cell. The interplay of centrifugal and surface tension forces leads to the emergence of intricate interfacial pattern…

[Phys. Rev. E 112, 065102] Published Mon Dec 01, 2025

Debris flows often exhibit coherent wave structures—shocklike roll waves on steeper slopes and weaker, more sinusoidal dispersive pulses on gentler slopes. Coarse-rich heads raise basal resistance, whereas fines-rich tails lower it; in gentle reaches, small-amplitude pulses can locally transport mom…

[Phys. Rev. E 112, 055112] Published Mon Nov 24, 2025

Microswimmer locomotion in heterogeneous media is increasingly relevant in biological physics due to the prevalence of microorganisms in complex environments. A model for such porous media is the Brinkman fluid, which accounts for a sparse matrix of stationary obstacles via a linear resistance term …

[Phys. Rev. E 112, 055110] Published Tue Nov 18, 2025

We study effective mixing behavior of solutes in steady flows through three-dimensional random fracture networks and find that mixing in these systems is characterized by phenomena distinct from continuous porous media. Network-scale heterogeneity leads to the complex spatio-temporal organization of…

[Phys. Rev. E 112, 055111] Published Tue Nov 18, 2025

Sampling synthetic turbulent fields as a computationally tractable surrogate for direct numerical simulations (DNS) is an important practical problem in various applications, and allows us to test our physical understanding of the main features of real turbulent flows. Reproducing higher-order Euler…

[Phys. Rev. E 112, 055108] Published Mon Nov 17, 2025

This study introduces an approach to extend the Keller and Skalak (KS) theory by integrating the modified Riemann-Liouville fractional derivative. Our focus is on investigating the transition of red blood cells from flipping to stationary motion within shear flows. Expanding upon the predictions out…

[Phys. Rev. E 112, 055109] Published Mon Nov 17, 2025

We derive a nonlocal Ostrovsky equation to describe two internal waves generated at distinct locations and times, together with their correlations and interactions. When the initial conditions are $\widehat{P}\widehat{T}$ symmetry invariant, the internal waves can either exhibit cnoidal wave structures that are largely…

[Phys. Rev. E 112, 055104] Published Wed Nov 12, 2025

Deep autoencoder neural networks can generate highly accurate, low-order representations of turbulence. We design a family of autoencoders which are a combination of a “dense-block” encoder-decoder structure [Page et al., J. Fluid Mech. 991, A10 (2024)], an "implicit rank minimization" series of lin…

[Phys. Rev. E 112, 055105] Published Wed Nov 12, 2025

We investigate the Taylor-Aris dispersion resulting from oscillatory squeeze flow (OSF) of an Oldroyd-B viscoelastic fluid in the gap between two hydrophobic disks. The slippage between the fluid and the surfaces of both disks is modeled using a dynamic slip boundary condition, which accounts for pe…

[Phys. Rev. E 112, 055106] Published Wed Nov 12, 2025

Walkers are oil drops surfing on a vibrated oil surface and driven by their self-generated capillary waves. Since some of the first measurements on walkers seemingly showed quantum-like behavior, walkers have been considered a model system for a hydrodynamic pilot-wave system. An early experiment sh…

[Phys. Rev. E 112, 055107] Published Wed Nov 12, 2025

The Cahn-Hilliard equation, as a classical diffusion-interface method of phase field, has been extensively employed for simulating two-phase fluid dynamics. However, it suffers from a key challenge in the simulation process, specifically the volume conservation of each phase cannot be guaranteed. To…

[Phys. Rev. E 112, 055103] Published Thu Nov 06, 2025

Hydrodynamic interactions play a crucial role in the formation of flagellated microswimmer clusters, yet they are still not clearly understood. In this article we try to elucidate the influence mechanism of the flagellum elasticity on the clustering-separation process of two flagellated microswimmer…

[Phys. Rev. E 112, 055101] Published Tue Nov 04, 2025

We develop a comprehensive three-dimensional theory to describe the hydrodynamics of magnetic nanoparticles exposed to an external time-dependent magnetic field. This theory extends the mobility matrix formalism developed by J. Happel, to (quasi-) magnetostatic interactions and incorporates Brownian…

[Phys. Rev. E 112, 055102] Published Tue Nov 04, 2025

This work proposes a model to simulate transient flow of a gas mixture at arbitrary rarefaction parameters and molar fractions through a long capillary. The transient model is based on the linear relationship between the thermodynamic fluxes (mass flow rate, diffusion flux, etc.) and the thermodynam…

[Phys. Rev. E 112, 045110] Published Fri Oct 31, 2025

The study of large-scale convective flows within a spherical gap has been the focus of numerous theoretical and numerical investigations because of its relevance to geophysical applications. This is particularly true in scenarios where the inner surface is warmer than the outer surface, and the flui…

[Phys. Rev. E 112, 045109] Published Wed Oct 22, 2025

Dynamic wetting poses a well-known challenge in classical sharp-interface formulation as the no-slip wall condition leads to a contact line singularity that is typically regularized with a Navier boundary condition, often requiring empirical fitting for the slip length. On the other hand, this parad…

[Phys. Rev. E 112, 045108] Published Tue Oct 21, 2025

Fractal features of permeable (e.g., porous or/and fractured) medium strongly affect the imbibition behavior in the Lucas-Washburn-like scaling regime. Mapping a spontaneous imbibition in a fractally permeable medium onto a fractal continuum flow allows us to establish the relations between the imbi…

[Phys. Rev. E 112, 045107] Published Mon Oct 20, 2025

Nanoporous capsules have been the subject of intense investigation in the field of drug delivery. One of the essential properties of such particles, which requires characterization, is their structure. Many experimental techniques have been used for this purpose, such as wide-angle neutron or x-ray …

[Phys. Rev. E 112, 045106] Published Fri Oct 17, 2025

Acoustic pressure nodes in acoustophoretic devices are crucial for applications in tissue engineering, cell analysis, and particle trapping. Typically, a single primary node forms at the half-wavelength resonance condition, with its shape and position constrained by the channel dimensions. The gener…

[Phys. Rev. E 112, 045105] Published Thu Oct 16, 2025

Polar regions are covered by sea ice, which can be seen as a thin solid elastic sheet with heterogeneous mechanical properties. The dynamics of deformation of a floating solid sheet is primarily governed by gravity, water density, and the flexural modulus, which depends on its mechanical properties,…

[Phys. Rev. E 112, 045104] Published Wed Oct 15, 2025

Binary droplet collisions exhibit four primary outcomes at Weber number (We) below 100, i.e., bouncing, coalescence, reflexive separation, and stretching separation. At We exceeding 300, shattering becomes prominent, characterized by the catastrophic disintegration of the merged mass and ejection of…

[Phys. Rev. E 112, 045103] Published Tue Oct 14, 2025

Here, we propose a valveless nanopump model, featuring a two-dimensional graphene slit that can only accommodate a single layer of water molecules. Using molecular dynamics simulations, we demonstrate the feasibility of inducing water transport via mechanical vibrations at the slit entrance, even in…

[Phys. Rev. E 112, 045102] Published Mon Oct 06, 2025

We obtain the equations of fluctuating hydrodynamics for many-particle systems whose microscopic units have both translational and rotational motion. The orientational dynamics of each element are studied in terms of Langevin equations for the rotational motion of a corresponding fixed-length direct…

[Phys. Rev. E 112, 045101] Published Wed Oct 01, 2025

Ternary systems driven by concentration-dependent diffusion coefficients were studied aboard the International Space Station. A range of new patterning possibilities and the coexistence of gravitational instabilities, previously thought impossible in nonreactive systems, were uncovered.

#ClearMotivation #ElegantVisuals

[Phys. Rev. E 112, L033101] Published Thu Sep 25, 2025

Direct numerical simulation is utilized to resolve the drag and turbulent characteristics of supersonic fully developed channel turbulence in this paper. Distinct from spatially developing turbulence, a relaxation of the skin friction coefficient is discovered after blowing in fully developed turbul…

[Phys. Rev. E 112, 035104] Published Tue Sep 23, 2025

This study investigates the influence of varying degrees of freedom (DOFs) on the swimming performance of self-propelled undulatory swimmers navigating a straight path in three flow configurations: an unbounded fluid, near a solid wall, and in a side-by-side arrangement. Vertical and rotational DOFs…

[Phys. Rev. E 112, 035103] Published Fri Sep 19, 2025

A rigorous formalism is presented for the time-averaged acoustic radiation force on a spherical particle near an infinite planar boundary subjected to a plane wave. The background medium is assumed to be a weakly thermoviscous fluid, with the viscous and thermal boundary layers much smaller than eit…

[Phys. Rev. E 112, 035101] Published Tue Sep 02, 2025

In this work, an improved Allen-Cahn-based phase-field lattice Boltzmann model is presented which is applicable to heat transfer in two-phase flow involving evaporation. The vapor concentration at the liquid-vapor interface serves as the driving force for vaporization. In our improved model, four di…

[Phys. Rev. E 112, 035102] Published Tue Sep 02, 2025

The process of producing a liquid column is common in daily life and industrial applications, such as walking through a puddle and roller printing. While governed by the Navier-Stokes equation, its dynamics are often studied by numerical means, which hinders a full understanding of the rich mixture …

[Phys. Rev. E 112, 025105] Published Mon Aug 25, 2025

This study develops a weighted-residual model for Oldroyd-B films on slippery substrates at moderate Reynolds number and large slippery length. Linear stability analysis reveals that wall slip promotes perturbation growth rates, increases cut-off wave numbers, and accelerates long-wave propagation s…

[Phys. Rev. E 112, 025106] Published Mon Aug 25, 2025

The displacement of a viscous fluid by another less-viscous fluid in porous media or Hele-Shaw cells produces a fingerlike interfacial pattern known as viscous fingering (VF). Classically, the dynamics of VF have been divided into two categories depending on whether the two fluids are fully miscible…

[Phys. Rev. E 112, 025104] Published Tue Aug 12, 2025

A common approach to closing turbulent species flux in multicomponent Reynolds-averaged Navier-Stokes models is to use the standard gradient diffusion approximation. While such an approach has been shown to work well when applied to many canonical turbulent mixing configurations, a gradient diffusio…

[Phys. Rev. E 112, 025103] Published Mon Aug 11, 2025

Thermoacoustic effects arise when a temperature gradient is present in a sound field. This work investigates the interplay of orthogonal sound and thermal fields in a water-filled microchannel. We measured the three-dimensional streaming in the water-filled cavity for only sound applied, for only th…

[Phys. Rev. E 112, 025102] Published Mon Aug 04, 2025

A unified thermodynamic algorithm is presented for constructing thermodynamically consistent dynamical systems, i.e., systems that have Hamiltonian and dissipative parts that conserve energy while producing entropy. The algorithm is based on the metriplectic 4-bracket given in Morrison and Updike [P…

[Phys. Rev. E 112, 025101] Published Fri Aug 01, 2025

We study the hydrodynamic drag force exerted on a sphere in a static anisotropic porous medium. This problem is analyzed using the Brinkman-Debye-Bueche equations with an axisymmetric shielding (or permeability) tensor. Using the exact Green's functions for this model fluid within a single-layer bou…

[Phys. Rev. E 112, 015107] Published Mon Jul 28, 2025

A quasi-irrotational approximation is used to calculate the growth rate of the Rayleigh-Taylor instability in uniformly accelerated elastic or viscous layers, which, in addition to the unstable interface, also have a free surface. The approximation yields simple and analytical expressions for the gr…

[Phys. Rev. E 112, 015105] Published Wed Jul 23, 2025

Deformation of material lines drives transport and dissipation in many industrial and natural flows. Here, we report an exact Eulerian formula for the stretching rate of a material line, also known as the topological entropy, in a prototype two-dimensional fluid. The only requirement is a distributi…

[Phys. Rev. E 112, 015106] Published Wed Jul 23, 2025

By combining two approaches, the shell magnetohydrodynamic model and the Kazantsev-Kraichnan formulation, the authors advance the theory of the turbulent kinetic dynamo, obtaining results of interest for plasma physics, hydrodynamics, astrophysics, and turbulence theory.

#TechnicalAdvancement #WellStructured

[Phys. Rev. E 112, 015104] Published Tue Jul 22, 2025

Particle aggregation plays a crucial role in determining the performance of nanofluids. A particle-scale understanding of nanoparticle dynamics and aggregation behavior is a prerequisite for accurately characterizing their functionality. In this study, the complex factors affecting nanoparticle aggr…

[Phys. Rev. E 112, 015103] Published Fri Jul 11, 2025

The convective and absolute instabilities in electrohydrodynamic-Poiseuille mixed convection for viscoelastic fluids with the Oldroyd-B model are examined. In the absence of Poiseuille flow, based on the stationary and oscillatory characteristics at the onset of convection, we distinguish weakly and…

[Phys. Rev. E 112, 015102] Published Tue Jul 08, 2025

Some fluid flows are difficult to describe mathematically because their response to an external perturbation cannot be reduced to a small number of eigenmodes. The authors propose a method to approach these systems that is based on a few singular modes that are sufficient to reconstruct the response to leading order. The method is shown to greatly reduce the numerical cost compared to existing approaches.

#AdvancingField #TechnicalAdvancement

[Phys. Rev. E 112, 015101] Published Wed Jul 02, 2025

A modification of the original Enskog equation, which is different from the so-called modified (or revised) Enskog equation, is proposed. The modification changes the correlation factor from a function of density to a functional of density in a simple form without series structure. The present modif…

[Phys. Rev. E 111, 065108] Published Mon Jun 30, 2025

Nanofluidic systems subject to viscosity gradients are ubiquitous to technology and nature, including desalination and energy harvesting systems that utilize fresh water and seawater, thermoionics that leverage large temperature gradients of an electrolyte, and even ion channels that are sandwiched …

[Phys. Rev. E 111, 065105] Published Mon Jun 16, 2025

Drop coalescence plays a crucial role in nature and industry. In continuum theory, after the two drops are taken to touch at a point at the onset of coalescence, two scaling regimes for the temporal growth of the bridge connecting the drops have been identified. Coalescence, however, is initiated a…

[Phys. Rev. E 111, 065106] Published Mon Jun 16, 2025

A computationally efficient method to calculate the capillary pressure-saturation relations of immiscible multiphase flow on two-dimensional pore morphologies is presented. The method is an extension of the porous morphology method that includes the wetting angle and trapped mechanism of the displac…

[Phys. Rev. E 111, 065107] Published Mon Jun 16, 2025

Synchronized locomotion of undulatory swimmers occurs ubiquitously in nature, ranging from microorganisms such as sperms to larger aquatic animals such as eels and knifefish. To develop a unified understanding of this phenomenon, we use Taylor's two-dimensional infinitely long undulatory sheet model…

[Phys. Rev. E 111, 065103] Published Tue Jun 10, 2025

Transient plasma events, such as plasma disruptions, are anticipated in the future magnetic-confinement nuclear fusion reactors. The events are accompanied by a rapid change in the magnetic field generated by the plasma current and, accordingly, induction of strong eddy currents and Lorentz forces w…

[Phys. Rev. E 111, 065104] Published Tue Jun 10, 2025

We investigate the dynamics of active paths during a two-phase flow of immiscible fluids under an external pressure drop $\mathrm{\Delta }P$. We demonstrate that this dynamics of new path opening plays a crucial role in understanding the nonlinear rheology for the one-dimensional capillary fiber bundle model in the …

[Phys. Rev. E 111, 065102] Published Mon Jun 09, 2025

An investigation of the characteristics of the turbulent-nonturbulent interface (TNTI) in spatially developing compressible turbulent boundary layers is performed by using a direct numerical simulation. The mean thicknesses of the TNTI layer ${\delta }_{\mathrm{TNTI}}$ is approximately $13{\eta }_{\mathrm{ref}}$ (${\eta }_{\mathrm{ref}}$ is the Kolmogorov scal…

[Phys. Rev. E 111, 065101] Published Mon Jun 02, 2025

This study investigates the impact of rarefaction and compressibility on the flow dynamics of a lid-rotating cavity, known as Vogel-Escudier (VE) flow, using the direct simulation Monte Carlo (DSMC) method in OpenFOAM. Simulations are performed for Knudsen numbers (${\mathrm{Kn}}_{\mathrm{ref}}$) from 0.025 to 0.5, and lid …

[Phys. Rev. E 111, 055108] Published Thu May 22, 2025

We observe the formation of staircase patterns in the magnetic potential ($A$) in a weakly magnetized two-dimensional magnetohydrodynamic system driven by a forced, fluctuating vortex array. Layering occurs due to inhomogeneous mixing of $A$ by vortex cells. Magnetic Reynolds number ($R_m$)–dependent quenc…

[Phys. Rev. E 111, 055107] Published Wed May 21, 2025

We set ourselves the goal of obtaining the equations which govern the evolution of the mass density profile of a dense irrotational molecular cloud. We base our study on the notion of “ensemble of molecular clouds”, introduced in our previous work. We model the studied clouds making use of the “ense…

[Phys. Rev. E 111, 055106] Published Tue May 20, 2025

A new analytic model of isothermal evaporation of a sessile droplet in the form of a spherical cap is presented. This model is based on the rigorous theory of diffusion mass transfer and takes into account the intrinsic kinetics of the evaporation process. Due to its rigor, the presented model does …

[Phys. Rev. E 111, 055104] Published Tue May 13, 2025

Self-sustained order can emerge in complex systems due to internal feedback between coupled subsystems. Here, we present our discovery of a nonmonotonic emergence of order amidst chaos in a turbulent thermoacoustic fluid system. Fluctuations play a vital role in determining the dynamical state and t…

[Phys. Rev. E 111, 055105] Published Tue May 13, 2025

Molecular dynamics was used to evaluate the channel size dependence of force acting near a liquid-vapor-solid contact line. The shear stress distribution acting on the solid wall surface was calculated using the spatial distribution of the stress tensor to obtain the force acting near the contact li…

[Phys. Rev. E 111, 055103] Published Mon May 12, 2025

This study investigates self-gravity-induced viscosity in collisionless systems in the presence of a massive central body. Employing a kinetic framework based on the Vlasov-Poisson equations, we derive an analytical expression for viscosity arising from self-gravitational interactions. It is found t…

[Phys. Rev. E 111, 055102] Published Wed May 07, 2025

The dynamics of fibers, modeled as a sequence of inertial beads linked via elastic springs, in turbulent flows is dictated by a nontrivial interplay of inertia and elasticity. Such elastic, inertial fibers preferentially sample a three-dimensional turbulent flow in a manner that is qualitatively sim…

[Phys. Rev. E 111, L053101] Published Mon May 05, 2025

Controlling the behavior of impacting droplets continues to remain a challenge. We demonstrate a simple method of inclining a plane superhydrophobic surface with a sudden wettability change in the form of a superhydrophilic spot to control the droplet impact dynamics. We find that, depending on the …

[Phys. Rev. E 111, 055101] Published Thu May 01, 2025

The scaling inertial-range behavior of the single-time two-point correlation functions of the weak magnetic field, passively advected by the turbulent velocity field driven by the stochastic Navier-Stokes equation, is investigated in the framework of the field-theoretic renormalization group approac…

[Phys. Rev. E 111, 045108] Published Mon Apr 28, 2025

A comprehensive study of the effect of gravity-induced shape change on the diffusion-limited evaporation of thin sessile and pendant droplets on a horizontal substrate is performed. Specifically, theoretical predictions for the evolution, and hence the lifetime, of sessile and pendant droplets evapo…

[Phys. Rev. E 111, 045107] Published Fri Apr 25, 2025

In this work, we investigate the swimming dynamics of a spheroidal squirmer near a flat wall for various aspect ratios using the direct-forcing fictitious domain method. Our results show that the swimming mode of a strong pusher undergoes the transition from either oscillating or escaping to crawlin…

[Phys. Rev. E 111, 045106] Published Wed Apr 23, 2025

This study examines the influence of an inhomogeneous external electric field on thermoelectrohydrodynamic (TEHD) convection and its impact on heat transfer enhancement in a dielectric fluid layer. TEHD convection arises when an external electric field interacts with a nonisothermal fluid, where ele…

[Phys. Rev. E 111, 045105] Published Mon Apr 21, 2025

The dynamics and microstructure of two-dimensional suspensions of ideally polarizable particles in an electric field are studied using large-scale numerical simulations. The particles are assumed to carry no net charge and thus known to undergo a nonlinear electrokinetic phenomenon termed dipolophor…

[Phys. Rev. E 111, 045104] Published Thu Apr 17, 2025

In this paper, we provide a theoretical framework for understanding the friction of water flowing in carbon nanotubes with diameters of the order of a nanometer. Molecular dynamics simulations show that under such circumstances, water forms one-dimensional water wires or hollowed cylindrical periodi…

[Phys. Rev. E 111, 045103] Published Wed Apr 09, 2025