Physical Review E

Author(s): Roseanna M. Neupauer, James D. Meiss, and Tomás G. Dabove

The reoriented potential mixer (RPM) can enhance mixing and reaction during in situ remediation of contaminated groundwater, in which a chemical or biological amendment is introduced into a contaminant plume to react with and degrade the contaminant. Each step of the RPM consists of dipole flow betw…

[Phys. Rev. E 113, 065108] Published Thu Jun 18, 2026

Author(s): Nathan Abitbol, Alex Hansen, Alberto Rosso, and Laurent Talon

We study the flow of a Bingham yield stress fluid in a pore network model where the throats have radii drawn from a uniform distribution. We consider the case in which a fraction of the largest radii is blocked. The fluid can flow only through the percolating cluster that exists when the fraction is…

[Phys. Rev. E 113, 065107] Published Tue Jun 16, 2026

Author(s): Chao-Sheng Li, Shun-Jie Wu, Rong-Rong Cai, and Li-Zhi Zhang

Regulating droplet-surface contact time is a core demand for optimizing performance in inkjet printing, spray cooling, agricultural spraying, and other industrial fields. Conventional strategies relying on surface microstructure modification suffer from high fabrication costs and compromised surface…

[Phys. Rev. E 113, 065104] Published Mon Jun 15, 2026

Author(s): Fangliang Xu, Wei Liu, and Peng Zhang

Spanwise Wall Oscillation is a promising active flow control technique for turbulent skin-friction drag reduction (DR). While the effectiveness of the method in incompressible flows is well documented, its performance in compressible regimes, and the underlying physical mechanisms, particularly thos…

[Phys. Rev. E 113, 065105] Published Mon Jun 15, 2026

Author(s): Christian Tantardini and Fernando Alonso-Marroquín

We present an isothermal global Buckley-Leverett framework for multicomponent, multiphase flow in porous and fractured media that retains the interpretability of classical Buckley-Leverett while incorporating essential physics: equation-of-state-based phase behavior, multicomponent Maxwell-Stefan di…

[Phys. Rev. E 113, 065106] Published Mon Jun 15, 2026

Author(s): Theodoros T. Koutserimpas

In even spatial dimensions, solutions of the wave equation violate Huygens' principle, producing a persistent wake tail inside the light cone rather than a sharply localized propagating front. This intrinsic tail complicates refocusing. Here, we examine how the wake-tail structure of the two-dimensi…

[Phys. Rev. E 113, 065102] Published Thu Jun 11, 2026

Author(s): Thomas Micol, Alexander A. Doinikov, Cyril Mauger, and Claude Inserra

We present an analytical model for the frequency response of a gas microbubble oscillating near a spherical inclusion of arbitrary size and mechanical nature (rigid, fluid, or viscoelastic) immersed in a viscous compressible fluid. The model considers both radial and nonspherical oscillations in the…

[Phys. Rev. E 113, 065103] Published Thu Jun 11, 2026

Author(s): Kyo Yoshida

An ensemble model of turbulence based on states with constant flux in wavenumber space was proposed in [K. Yoshida, Phys. Rev. E 106, 045106 (2022)]. The justification of this ensemble model relies on the conjecture that almost all states with constant flux correspond to turbulence states. To verify…

[Phys. Rev. E 113, 065101] Published Mon Jun 01, 2026

Author(s): Reza Haghani, Carl Fredrik Berg, and Eirik Grude Flekkøy

Diffuse interface methods for multiphase flow simulations often exhibit nonphysical droplet or bubble shrinkage, particularly when based on the Cahn-Hilliard equation. This well-known artifact introduces a critical radius below which droplets vanish, thereby limiting the fidelity of simulations invo…

[Phys. Rev. E 113, 055107] Published Mon May 18, 2026

Author(s): Yoav Tsori and Hannes Uecker

We present a theoretical framework for unidirectional electromagnetohydrodynamic flow of dilute electrolytes under perpendicular magnetic fields. Starting from the Navier-Stokes equation coupled with the Poisson-Nernst-Planck formulation, we show that the problem admits a sequential decoupling: the …

[Phys. Rev. E 113, 055105] Published Mon May 11, 2026

Author(s): Christian Tantardini and Fernando Alonso-Marroquín

We develop a quantitative framework to determine the minimal periodic supercell required for representative simulations of capillarity-screened Darcy flow in stationary random, polydisperse granular media. The microstructure is characterized by two-point statistics (covariance and spectral density) …

[Phys. Rev. E 113, 055106] Published Mon May 11, 2026

Author(s): Loïc Tadrist and Tristan Gilet

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

Author(s): Chapnik Zvi and Or Yizhar

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

Author(s): Yuxing Jiao and Mingcheng Yang

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

Author(s): Brandon Choi, Matteo Ugliotti, Mateo Reynoso, Daniel R. Gurevich, and Roman O. Grigoriev

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

Author(s): Henan Zhang, Hao Yang, Ziqi Cui, and Jun Zhang

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

Author(s): Amitesh S. Jayaraman, Nikolaos Kateris, and Hai Wang

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

Author(s): Florian Kogelbauer and Ilya Karlin

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

Author(s): Christopher Triola

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

Author(s): Luiz Eduardo Czelusniak, Tim Niklas Bingert, Stephan Simonis, Alexander J. Wagner, and Mathias J. Krause

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