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Coupling between chemical fuel consumption and phase separation can lead to condensation at a nonequilibrium steady state, resulting in phase behaviors that are not described by equilibrium thermodynamics. Theoretical models of such…

Soft Condensed Matter · Physics 2025-05-23 Yongick Cho , William M. Jacobs

A driven system of three species of particle diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should phase separate and break the translational…

Statistical Mechanics · Physics 2009-10-31 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We demonstrate particle clustering on macroscopic scales in a coupled nonequilibrium system where two species of particles are advected by a fluctuating landscape and modify the landscape in the process. The phase diagram generated by…

Statistical Mechanics · Physics 2016-05-24 Shauri Chakraborty , Sukla Pal , Sakuntala Chatterjee , Mustansir Barma

Several theoretical models based on totally asymmetric simple exclusion process (TASEP) have been extensively utilized to study various non-equilibrium transport phenomena. Inspired by the the role of microtubule-transported vesicles in…

Statistical Mechanics · Physics 2021-02-03 Akriti Jindal , Atul Kumar Verma , Arvind Kumar Gupta

We introduce a mean-field theoretical framework to describe multiple totally asymmetric simple exclusion processes (TASEPs) with different lattice lengths, entry and exit rates, competing for a finite reservoir of particles. We present…

Statistical Mechanics · Physics 2012-03-09 Philip Greulich , Luca Ciandrini , Rosalind J. Allen , M. Carmen Romano

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , T. Franosch , E. Frey

We show that the interplay between geometric criticality and dynamical fluctuations leads to a novel universality class of the contact process on a randomly diluted lattice. The nonequilibrium phase transition across the percolation…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Man Young Lee

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

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

Soft Condensed Matter · Physics 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

Multiphase flows are characterized by sharp moving interfaces, separating different fluids or phases. In many cases the dynamics of the interface determines the behavior of the flow. In a coarse, or reduced order model, it may therefore be…

Fluid Dynamics · Physics 2021-08-12 Xianyang Chen , Jiacai Lu , Gretar Tryggvason

The object of the present article is a 1d lattice-gas system comprised of soft-particles, wherein particles interact only if they occupy the same or a neighboring site, as a simple representation of penetrable particles of soft condensed…

Soft Condensed Matter · Physics 2018-12-21 Derek Frydel , Yan Levin

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

Soft Condensed Matter · Physics 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño

We consider classical hard-core particles moving on two parallel chains in the same direction. An interaction between the channels is included via the hopping rates. For a ring, the stationary state has a product form. For the case of…

Statistical Mechanics · Physics 2011-07-13 Vladislav Popkov , Ingo Peschel

Chemically driven fluids can demix to form condensed droplets that exhibit phase behaviors not observed at equilibrium. In particular, nonequilibrium interfacial properties can emerge when the chemical reactions are driven differentially…

Soft Condensed Matter · Physics 2023-11-20 Yongick Cho , William M. Jacobs

We recover the so-called field-road diffusion model as the hydrodynamic limit of an interacting particle system. The former consists of two parabolic PDEs posed on two sets of different dimensions (a "field" and a "road" in a population…

Analysis of PDEs · Mathematics 2024-06-21 Matthieu Alfaro , Mustapha Mourragui , Samuel Tréton

The present study provides a systematic derivation of a phase-field version of the momentum, mass and heat transport equations, while accounting for chemical reactions in the fluid phase. To achieve this goal, the volume averaging technique…

Fluid Dynamics · Physics 2025-09-11 Reza Namdar , Mohammad Norouzi , Fathollah Varnik

The equilibrium states of one-dimensional proton conductors in the systems with hydrogen bonds are investigated. Our extended hard-core boson lattice model includes short-range interactions between hydrogen ions, their transfer along the…

Statistical Mechanics · Physics 2021-06-28 R. Ya. Stetsiv

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

Fluid Dynamics · Physics 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

We derive a phase field crystal model that couples the diffusive evolution of a microscopic structure with the fast dynamics of a macroscopic velocity field, explicitly accounting for the relaxation of elastic excitations. This model…

Materials Science · Physics 2022-10-26 Vidar Skogvoll , Marco Salvalaglio , Luiza Angheluta

The standard model of enhanced ionic conductivities in solid electrolyte heterostructures follows from a continuum mean-field description of defect distributions that makes no reference to crystalline structure. To examine ionic transport…

Materials Science · Physics 2015-06-18 Benjamin J. Morgan , Paul A. Madden
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