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Active fluids operate by constantly dissipating energy at the particle level to perform a directed motion, yielding dynamics and phases without any equilibrium equivalent. The emerging behaviors have been studied extensively, yet…

Statistical Mechanics · Physics 2020-02-03 Étienne Fodor , Takahiro Nemoto , Suriyanarayanan Vaikuntanathan

In equilibrium, the collective behaviour of particles interacting via steep, short-ranged potentials is well captured by the virial expansion of the free energy at low density. Here, we extend this approach beyond equilibrium to the case of…

Soft Condensed Matter · Physics 2023-06-21 Yuting Irene Li , Rosalba Garcia-Millan , Michael E. Cates , Étienne Fodor

Liquid-liquid phase separation is important across biology, physics, and materials science. Although usually studied at equilibrium, active components - such as motor proteins, enzymes, and synthetic microswimmers - are increasingly…

Soft Condensed Matter · Physics 2026-01-06 Kan Chang , Yulin Li , Ming Yuan , Masaki Sano , Zhihong You , H. P. Zhang

Using a thermodynamical approach, we calculate the deformation of a spherical elastic particle placed on a rigid substrate, under zero external load, and including an ingredient of importance in soft matter: the interfacial tension of the…

Soft Condensed Matter · Physics 2014-01-07 Thomas Salez , Michael Benzaquen , Elie Raphaël

This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the fluid lays on top…

Analysis of PDEs · Mathematics 2019-11-11 Francisco Gancedo , Rafael Granero-Belinchon , Stefano Scrobogna

We analyze motility-induced phase separation and bubbly phase separation in a two-dimensional lattice model of self-propelled particles. We compare systems where the dense (liquid) phase has slab and droplet geometries. We find that…

Soft Condensed Matter · Physics 2025-03-18 Liheng Yao , Robert L. Jack

We present an explicit finite difference method to simulate the non-ideal multi-phase fluid flow. The local density and the momentum transport are modeled by the Navier-Stokes (N-S) equations and the pressure is computed by the Van der…

Fluid Dynamics · Physics 2023-07-12 Chunheng Zhao , Alexandre Limare , Stephane Zaleski

In this paper, we investigate the dynamics of an incompressible viscous Navier-Stokes fluid evolving above a one-dimensional flat surface. The fluid is subject to a uniform gravitational field and capillary forces acting along the free…

Analysis of PDEs · Mathematics 2026-02-19 Xiaoding Yang

When a nonequilibrium growing interface in the presence of a wall is considered a nonequilibrium wetting transition may take place. This transition can be studied trough Langevin equations or discrete growth models. In the first case, the…

Statistical Mechanics · Physics 2010-08-24 Andre Cardoso Barato

Fundamental properties of the multicomponent diffuse-interface model (DIM), such as the maximum entropy principle and conservation laws, are used to explore the basic interfacial dynamics and phase transitions in fluids. Flat interfaces…

Fluid Dynamics · Physics 2023-05-02 E. S. Benilov

Collections of self-propelled particles that move persistently by continuously consuming free energy are a paradigmatic example of active matter. In these systems, unlike Brownian "hot colloids", the breakdown of detailed balance yields a…

Soft Condensed Matter · Physics 2018-09-12 Suraj Shankar , M. Cristina Marchetti

Biological tissues exhibit complex behaviors with their dynamics often resembling inert soft matter such as liquids, polymers, colloids, and liquid crystals. These analogies enable physics-based approaches for investigations of emergent…

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

Wetting and drying of a rigid substrate by a Lennard-Jones fluid in molecular dynamics simulations is reported. The size of the substrate particles, being smaller than the fluid particles in former simulations, is now taken to be equal to,…

Soft Condensed Matter · Physics 2015-06-25 C. Bruin

Using as a starting point conservation of momentum, a multiphase mechanical energy balance equation is derived that accounts for multiple material phases and interfaces present within a moving control volume. This balance is applied to a…

Fluid Dynamics · Physics 2022-12-26 Dalton J. E. Harvie

We present a theory for the interaction between active particles and a passive flexible membrane. By explicitly solving for the pressure exerted by the active particles, we show that they reduce the membrane tension and bending modulus and…

Soft Condensed Matter · Physics 2026-05-22 David A. King , Thomas P. Russell , Ahmad K. Omar

We formulate a model for the dynamic growth of a membrane developing in a flow as the result of a precipitation reaction, a situation inspired by recent microfluidic experiments. The precipitating solid introduces additional forces on the…

Fluid Dynamics · Physics 2020-03-18 P. S. Eastham , M. N. J. Moore , N. G. Cogan , Q. Wang , O. Steinbock

Conventional wetting theories on rough surfaces with Wenzel, Cassie-Baxter, and Penetrate modes suggest the possibility of tuning the contact angle by adjusting the surface texture. Despite decades of intensive study, there are still many…

Fluid Dynamics · Physics 2018-05-08 Donggyu Kim , Nicola M. Pugno , Seunghwa Ryu

A partially miscible binary liquid mixture, composed of A and B particles, is considered theoretically under conditions for which a stable A-rich liquid phase is in thermal equilibrium with the vapor phase. The B-rich liquid is metastable.…

Soft Condensed Matter · Physics 2021-04-28 Hyojeong Kim , Lothar Schimmele , S. Dietrich

We study both diffuse and sharp liquid-vapor interfaces. The equilibrium equation of fluids is derived by using the principle of virtual work in a domain including the interfaces. For diffuse interfaces, the surface tension coefficient…

Mathematical Physics · Physics 2026-05-27 Sergey L. Gavrilyuk , Henri Gouin
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