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We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains…

Statistical Mechanics · Physics 2009-11-11 T. Bodineau , B. Derrida

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi

New insights into phase separation in colloidal suspensions are provided via a new dynamical theory based on the Polydisperse Lattice-Gas model. The model gives a simplified description of polydisperse colloids, incorporating a hard-core…

Soft Condensed Matter · Physics 2017-08-03 Pablo de Castro , Peter Sollich

We introduce a family of lattice-gas models of flocking, whose thermodynamically consistent dynamics admits a proper equilibrium limit at vanishing self-propulsion. These models are amenable to an exact coarse-graining which allows us to…

Statistical Mechanics · Physics 2024-09-27 Tal Agranov , Robert L. Jack , Michael E. Cates , Étienne Fodor

We develop a formulation of global thermodynamics for equilibrium systems under the influence of gravity. The free energy for simple fluids is extended to include a dependence on $(T, V, N, mgL)$, where $L$ represents the vertical system…

Statistical Mechanics · Physics 2025-06-26 Naoko Nakagawa , Shin-ichi Sasa , Takamichi Hirao , Tsuyoshi Shiina , Kyosuke Tachi , Akira Yoshida

Our study of a basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics in the case of constant but non-equal densities of the phases, begun by the first two authors is continued. We extend our…

Analysis of PDEs · Mathematics 2013-04-12 Jan Pruess , Senjo Shimizu , Mathias Wilke

Nonequilibrium steady states of vibrated inelastic frictionless spheres are investigated in quasi-two-dimensional confinement via molecular dynamics simulations. The phase diagram in the density-amplitude plane exhibits a fluidlike…

Soft Condensed Matter · Physics 2019-02-13 Thomas Schindler , Sebastian C. Kapfer

We investigate phase coexistence in a weakly stochastic reaction-diffusion system without assuming a continuum description. Concretely, for $(2N+1)$ diffusion-coupled vessels in which a chemical reaction exhibiting bistability occurs, we…

Statistical Mechanics · Physics 2025-01-14 Yusuke Yanagisawa , Shin-ichi Sasa

Instabilities and pattern formation is the rule in nonequilibrium systems. Selection of a persistent lengthscale, or coarsening (increase of the lengthscale with time) are the two major alternatives. When and under which conditions one…

Statistical Mechanics · Physics 2010-01-25 Chaouqi Misbah , Paolo Politi

We show that a non-equilibrium diffusive dynamics in a finite-dimensional space takes in the Lagrangian frame of its mean local velocity an equilibrium form with the detailed balance property. This explains the equilibrium nature of the…

Statistical Mechanics · Physics 2015-05-13 Raphael Chetrite , Krzysztof Gawedzki

Local detailed balance (LDB) is a central guiding principle for modeling nonequilibrium stochastic dynamics, yet it only constrains the ratio of forward and backward transition rates and does not fix the steady state. Although the…

Statistical Mechanics · Physics 2026-05-26 Takahiro Kanazawa , Kyogo Kawaguchi , Kyosuke Adachi

Simulations of liquid-gas systems with extended interfaces are observed to fail to give accurate results for two reasons: the interface can get ``stuck'' on the lattice or a density overshoot develops around the interface. In the first case…

Soft Condensed Matter · Physics 2009-11-13 A. J. Wagner , C. M. Pooley

A fluid in a non-equilibrium state exhibits long-ranged correlations of its hydrodynamic fluctuations. In this article, we examine the effect of a transpiration interface on these correlations -- specifically, we consider a dilute gas in a…

Statistical Mechanics · Physics 2020-05-11 Daniel R. Ladiges , Andrew J. Nonaka , John B. Bell , Alejandro L. Garcia

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

Biological Physics · Physics 2007-05-23 Karo Michaelian

The influence of nonequilibrium bulk conditions on the properties of the interfaces exhibited by a kinetic Ising--like model system with nonequilibrium steady states is studied. The system is maintained out of equilibrium by perturbing the…

Statistical Mechanics · Physics 2009-11-10 P. I. Hurtado , P. L. Garrido , J. Marro

In this work, we investigate the dynamics of the number density fluctuations of a dilute suspension of active particles in a linear viscoelastic fluid. We propose a model for the frequency-dependent diffusion coefficient of the active…

Soft Condensed Matter · Physics 2022-11-08 Juan Ruben Gomez-Solano , Rosalio F. Rodriguez , Elizabeth Salinas-Rodriguez

This paper concerns modeling of the evolution of intermittency region between two weakly miscible phases due to temporal and spatial variations of its characteristic length scale. First, the need of a more general description allowing for…

Fluid Dynamics · Physics 2020-09-29 Tomasz Wacławczyk

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

Active liquid crystals exert nonequilibrium stresses on their surroundings through constant consumption of energy, giving rise to dynamical steady states not present in equilibrium. The paradigmatic example of an active liquid crystal is a…

Soft Condensed Matter · Physics 2025-02-12 Paarth Gulati , Fernando Caballero , Itamar Kolvin , Zhihong You , M. Cristina Marchetti