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We have studied by Molecular Dynamics computer simulations the dynamics of water confined in ionic surfactants phases, ranging from well ordered lamellar structures to micelles at low and high water loading, respectively. We have analysed…

Soft Condensed Matter · Physics 2016-03-23 Samuel Hanot , Sandrine Lyonnard , Stefano Mossa

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

Disordered Systems and Neural Networks · Physics 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux

Active droplets swim as a result of the nonlinear advective coupling of the distribution of chemical species they consume or release with the Marangoni flows created by their non-uniform surface distribution. Most existing models focus on…

Fluid Dynamics · Physics 2020-01-15 Kevin Lippera , Matvey Morozov , Michael Benzaquen , Sébastien Michelin

In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur…

Numerical Analysis · Mathematics 2025-03-24 Zhaoyang Wang , Huaxiong Huang , Ping Lin , Shixin Xu

We show theoretically that an imposed uniaxial anisotropy leads to new universality classes for the dynamics of active particles suspended in a viscous fluid. In the homogeneous state, their concentration relaxes superdiffusively, stirred…

Soft Condensed Matter · Physics 2026-03-26 Lokrshi Prawar Dadhichi , Suvendra K. Sahoo , K. Vijay Kumar , Sriram Ramaswamy

The purpose of this article is to study the hydrodynamic limit of the symmetric exclusion process with long jumps and in contact with infinitely extended reservoirs for a particular critical regime. The jumps are given in terms of a…

Probability · Mathematics 2021-10-29 Patrícia Gonçalves , Stefano Scotta

In a recent paper [Phys. Rev. Lett. 129, 120601] we have shown that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. In this…

Statistical Mechanics · Physics 2023-01-24 Federico Balducci , Andrea Gambassi , Alessio Lerose , Antonello Scardicchio , Carlo Vanoni

In 2006, the fourth author proposed a graph-theoretic model of interface dynamics called competitive erosion. Each vertex of the graph is occupied by a particle that can be either red or blue. New red and blue particles alternately get…

Probability · Mathematics 2015-01-16 Shirshendu Ganguly , Lionel Levine , Yuval Peres , James Propp

We study two models of overdamped self-propelled disks in two dimensions, with and without aligning interactions. Active mesoscale flows leading to chaotic advection emerge in both models in the homogeneous dense fluid away from dynamical…

Soft Condensed Matter · Physics 2024-06-07 Yann-Edwin Keta , Juliane Klamser , Robert L. Jack , Ludovic Berthier

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit a continuous phase transition from an…

Statistical Mechanics · Physics 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

We study deterministic discrete time exclusion type spatially heterogeneous particle processes in continuum. A typical example of this sort is a traffic flow model with obstacles: traffic lights, speed bumps, spatially varying local…

Dynamical Systems · Mathematics 2015-05-28 Michael Blank

Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involve coupled surface reactions, transmembrane transport, and…

Numerical Analysis · Mathematics 2025-07-22 Weidong Shi , Shixin Xu , Zhen Zhang , Quan Zhao

A simple model of the driven motion of interacting particles in a two dimensional random medium is analyzed, focusing on the critical behavior near to the threshold that separates a static phase from a flowing phase with a steady-state…

Statistical Mechanics · Physics 2008-02-03 Joe Watson , Daniel S. Fisher

Drainage, in which a nonwetting fluid displaces a wetting fluid from a porous medium, is well-studied for media with unchanging solid surfaces. However, many media can be eroded by drainage, with eroded material redeposited in pores…

The breakup of an interface into a cascade of droplets and their subsequent coalescence is a generic problem of central importance to a large number of industrial settings such as mixing, separations, and combustion. We study the breakup of…

We demonstrate how to construct dynamic phase diagrams for complex fluids that undergo transitions under flow, in which the conserved composition variable and the broken-symmetry order parameter (nematic, smectic, crystalline, etc.) are…

Soft Condensed Matter · Physics 2009-10-30 Peter D. Olmsted , C. -Y. D. Lu

We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in…

Analysis of PDEs · Mathematics 2011-04-01 Helmut Abels

Streamer electrical discharges are often investigated with computer simulations of density models (also called drift-diffusion-reaction models). We review these models, detailing their physical foundations, their range of validity and the…

Plasma Physics · Physics 2011-12-01 Alejandro Luque , Ute Ebert

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

We investigate compound drops composed of two immiscible nonvolatile partially wetting liquids that slide down an inclined homogeneous smooth solid substrate based on a mesoscopic hydrodynamic two-layer model in full-curvature formulation.…

Fluid Dynamics · Physics 2026-03-30 Dominik Thy , Jan Diekmann , Uwe Thiele