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We review recent progress in understanding the full phase diagram of a one-dimensional, driven, two-species lattice model [Lahiri and Ramaswamy, PRL 79 (1997) 1150] in which the mobility of each species depends on the density of the other.…

统计力学 · 物理学 2007-05-23 Sriram Ramaswamy , Mustansir Barma , Dibyendu Das , Abhik Basu

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…

统计力学 · 物理学 2009-10-31 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

统计力学 · 物理学 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

We study the dynamics of small fluctuations about the uniform state of a crystal moving through a dissipative medium, e.g. a sedimenting colloidal crystal or a moving flux lattice, using a set of continuum equations for the displacement…

凝聚态物理 · 物理学 2009-10-28 Rangan Lahiri , Sriram Ramaswamy

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…

软凝聚态物质 · 物理学 2017-08-03 Pablo de Castro , Peter Sollich

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of a topological superfluid. But the topological phase is dynamically unstable towards phase separation when the system has a high density of…

量子气体 · 物理学 2021-10-04 Junhua Zhang , Sumanta Tewari , V. W. Scarola

We study the dynamics of lattice models of quantum spins one-half, driven by a coherent drive and subject to dissipation. Generically the meanfield limit of these models manifests multistable parameter regions of coexisting steady states…

量子物理 · 物理学 2020-02-06 Haggai Landa , Marco Schiró , Grégoire Misguich

Nonequilibrium conditions fundamentally change how systems undergo phase separation. In systems with temperature gradients, attractive particles have been shown to form periodic patterns and steady convective currents, but a clear…

统计力学 · 物理学 2026-03-09 Meander Van den Brande , François Huveneers , Kyosuke Adachi

We study three different lattice models in which two species of diffusing particles are driven in opposite directions by an electric field. We focus on dynamical phase transitions that involve phase separation into domains that may be…

统计力学 · 物理学 2022-09-15 Honghao Yu , Kristian Thijssen , Robert L. Jack

We present results from an individual particle based model for the collision, coagulation and fragmentation of heavy drops moving in a turbulent flow. Such a model framework can help to bridge the gap between the full hydrodynamic…

流体动力学 · 物理学 2020-01-29 Jens C. Zahnow , Ulrike Feudel

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

统计力学 · 物理学 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

统计力学 · 物理学 2017-01-10 Urna Basu

This work investigates phase separation of a monodisperse gas of inelastically colliding hard disks confined in a two-dimensional annulus, the inner circle of which represents a "thermal wall". When described by granular hydrodynamic…

软凝聚态物质 · 物理学 2015-06-25 Manuel Diez-Minguito , Baruch Meerson

Phase separation is a fundamental phenomenon that produces spatially heterogeneous patterns in soft matter. In this Lecture Note we show that phase separation in these materials generally belongs to what we call "viscoelastic phase…

软凝聚态物质 · 物理学 2013-07-08 Hajime Tanaka

The emergence of stable disordered patterns in reactive system on spatially homogenous substrate is studied in the context of vegetation patterns in the semi-arid climatic zone. It is shown that reaction-diffusion systems that allow for…

斑图形成与孤子 · 物理学 2009-11-11 Alon Manor , Nadav M. Shnerb

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…

统计力学 · 物理学 2011-07-13 Vladislav Popkov , Ingo Peschel

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…

软凝聚态物质 · 物理学 2015-06-17 Alexandr Malijevsky , Andrew J. Archer

We consider both equilibrium and kinetic aspects of the phase separation (``thermal faceting") of thermodynamically unstable crystal surfaces into a hill--valley structure. The model we study is an Ising lattice gas for a simple cubic…

凝聚态物理 · 物理学 2009-10-22 Joel D. Shore , Dirk Jan Bukman

We study the current large deviations for a lattice model of interacting active particles displaying a motility-induced phase separation (MIPS). To do this, we first derive the exact fluctuating hydrodynamics of the model in the large…

统计力学 · 物理学 2022-11-08 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

We investigate the structure and dynamics of a hard colloid-star polymer mixture in the range of its arrested phase separation, where an incipient demixing transition is interfering with a nearby vitrification line, focusing on the protein…

软凝聚态物质 · 物理学 2026-01-13 Konstantin N. Moser , Christos N. Likos , Vittoria Sposini
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