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Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization…

Statistical Mechanics · Physics 2015-06-15 Thomas Speck , Andreas M. Menzel , Julian Bialké , Hartmut Löwen

We present dynamical density functional theory results for the time evolution of the density distribution of a sedimenting model two-dimensional binary mixture of colloids. The interplay between the bulk phase behaviour of the mixture, its…

Soft Condensed Matter · Physics 2015-06-17 Alexandr Malijevsky , Andrew J. Archer

We consider a phenomenological continuum model for an active nematic fluid and show a universal, model independent, instability which renders the homogeneous nematic state unstable to order fluctuations. Using numerical and analytic tools…

Soft Condensed Matter · Physics 2014-10-15 Elias Putzig , Aparna Baskaran

Off-lattice active Brownian particles form clusters and undergo phase separation even in the absence of attractions or velocity-alignment mechanisms. Arguments that explain this phenomenon appeal only to the ability of particles to move…

Statistical Mechanics · Physics 2018-05-28 Stephen Whitelam , Katherine Klymko , Dibyendu Mandal

In this work, we perform numerical simulations of forced two-phase isotropic turbulence to study the stationary states of a two-phase mixture. We first formulate three different approaches to force a two-phase turbulent flow that maintains…

Fluid Dynamics · Physics 2025-04-08 Suhas S Jain , Ahmed Elnahhas

This study aims to investigate the behavior of multicomponent fluid flows consisting of Newtonian and non-Newtonian components, especially terminal velocity of a rising bubble in a power-law fluid. A recent lattice Boltzmann (LB) model is…

We propose an agent-based model of active flexible rods. Inspired by cytoskeletal flows, we introduce activity by an internal flow that contributes to the dissipative forces. The active force between our agents is central and reciprocal,…

Soft Condensed Matter · Physics 2026-03-06 Mathieu Dedenon , Carles Blanch-Mercader , Karsten Kruse , Jens Elgeti

Understanding active matter has led to new perspectives on biophysics and non-equilibrium dynamics. However, the development of numerical tools for simulating active fluids capable of incorporating non-trivial boundaries or inclusions has…

Soft Condensed Matter · Physics 2024-02-01 Timofey Kozhukhov , Benjamin Loewe , Tyler N. Shendruk

Dense suspensions of self-propelled bacteria and related active fluids exhibit spontaneous flow generation, vortex formation, and spatiotemporally chaotic dynamics despite operating at vanishingly small Reynolds numbers. These phenomena,…

Soft Condensed Matter · Physics 2026-02-26 Sandip Sahoo , Siddhartha Mukherjee , Samriddhi Sankar Ray

Demixing of binary liquids is a ubiquitous transition, which is explained using a well-established thermodynamic formalism that requires equality of intensive thermodynamics parameters across the phase boundaries. Demixing transitions also…

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

Statistical Mechanics · Physics 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

We present a fluctuating hydrodynamic description of an active lattice gas model with excluded volume interactions that exhibits motility-induced phase separation under appropriate conditions. For quasi-one dimension and higher, stability…

Statistical Mechanics · Physics 2025-10-20 Ritwik Mukherjee , Soumyabrata Saha , Tridib Sadhu , Abhishek Dhar , Sanjib Sabhapandit

We examine statics and dynamics of phase-separated states of dilute binary mixtures using density functional theory. In our systems, the difference in the salvation chemical potential $\Delta\mu_s$ between liquid and gas is considerably…

Soft Condensed Matter · Physics 2016-05-13 Ryuichi Okamoto , Akira Onuki

The formation of dynamical patterns is one of the most striking features of nonequilibrium physical systems. Recent work has shown that such patterns arise generically from forces that violate Newton's third law, known as nonreciprocal…

Statistical Mechanics · Physics 2025-08-26 James Mason , Robert L. Jack , Maria Bruna

The movement of subaqueous sediment in laminar shearing flow is numerically investigated by the coupled lattice Boltzmann and discrete element methods. First, the numerical method is validated by comparing the phase diagram proposed by…

Fluid Dynamics · Physics 2022-06-09 Duo Wang

Using extensive particle-based simulations, we investigate out-of-equilibrium pattern dynamics in an oppositely driven binary particle system in two dimensions. A surprisingly rich dynamical behavior including lane formation, jamming,…

Soft Condensed Matter · Physics 2015-06-05 Masahiro Ikeda , Hirofumi Wada , Hisao Hayakawa

We investigate the dynamical pathways of a geometric phase transition in a two-dimensional active lattice gas undergoing motility-induced phase separation. The transition is between metastable morphologies of the liquid cluster: a…

Soft Condensed Matter · Physics 2026-01-01 Liheng Yao , Michael E. Cates , Robert L. Jack

Engineering synthetic materials that mimic the remarkable complexity of living organisms is a fundamental challenge in science and technology. We study the spatiotemporal patterns that emerge when an active nematicfilm of microtubules and…

Spurious velocities arising from the imperfect offset of the undesired term at the discrete level are frequently observed in numerical simulations of equilibrium multiphase flow systems using the lattice Boltzmann equation (LBE) method. To…

Fluid Dynamics · Physics 2023-11-21 Long Ju , Peiyao Liu , Bicheng Yan , Jin Bao , Shuyu Sun , Zhaoli Guo

A previously proposed [X. Shan and H. Chen, Phys. Rev. E {\bf 47}, 1815, (1993)] lattice Boltzmann model for simulating fluids with multiple components and interparticle forces is described in detail. Macroscopic equations governing the…

comp-gas · Physics 2009-10-28 Xiaowen Shan , Gary Doolen