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We consider a general framework for multi-type interacting particle systems on graphs, where particles move one at a time by random walk steps, different types may have different speeds, and may interact, possibly randomly, when they meet.…

概率论 · 数学 2025-05-15 John Haslegrave , Peter Keevash

We study a d-dimensional lattice model of diffusing coalescing massive particles, with two parameters controlling deposition and evaporation of monomers. The unique stationary distribution for the system exhibits a phase transition in all…

概率论 · 数学 2016-08-09 Colm Connaughton , R. Rajesh , Roger Tribe , Oleg Zaboronski

We study the nonequilibrium phase transition in a model of aggregation of masses allowing for diffusion, aggregation on contact and fragmentation. The model undergoes a dynamical phase transition in all dimensions. The steady state mass…

统计力学 · 物理学 2015-06-25 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

The short-range attraction and long-range repulsion (SALR) between nanoparticles or macromolecules can lead to spontaneous pattern formation on solid surfaces, fluid interfaces or membranes. In order to study the self-assembly in such…

软凝聚态物质 · 物理学 2014-01-07 J. Pekalski , A. Ciach , N. Almarza

We present Monte Carlo simulations of a three-state lattice gas, half-filled with two types of particles which attract one another, irrespective of their identities. A bias drives the two particle species in opposite directions,…

统计力学 · 物理学 2009-11-07 E. Lyman , B. Schmittmann

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…

统计力学 · 物理学 2007-05-23 Thomas Vojta , Man Young Lee

We study the different phases and the phase transitions in a system of $Y$-shaped particles, examples of which include Immunoglobulin-G and trinaphthylene molecules, on a triangular lattice interacting exclusively through excluded volume…

统计力学 · 物理学 2018-04-04 Dipanjan Mandal , Trisha Nath , R. Rajesh

We investigate the finite-density phase diagram of a non-abelian SU(2) lattice gauge theory in (1+1)-dimensions using tensor network methods. We numerically characterise the phase diagram as a function of the matter filling and of the…

Under the Thomas-Fermi approximation, a relatively much simpler analytical solutions of the coupled Gross-Pitaevskii equations for the two-species BEC have been derived. Additionally, a model for the asymmetric states has been proposed, and…

原子物理 · 物理学 2017-07-12 Z. B. Li , Y. M. Liu , D. X. Yao , C. G. Bao

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

统计力学 · 物理学 2009-10-31 O. J. O'Loan , M. R. Evans

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

统计力学 · 物理学 2009-11-07 S. Lubeck , A. Hucht

We consider a lattice-gas model with an infinite range pairwise noncovex interaction. It might be relevant, for example, for adsorption of alkaline elements on W(112) and Mo(112). We study a competition between the effective dipole-dipole…

凝聚态物理 · 物理学 2009-10-28 Cz. Oleksy , J. Lorenc

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

统计力学 · 物理学 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

We present a comprehensive study of the lattice restricted primitive model, i.e., a lattice gas consisting of an equal number of positively and negatively charged particles interacting via on-site exclusion and a 1/r potential. On the cubic…

统计力学 · 物理学 2009-10-31 Ronald Dickman , George Stell

Within self-consistent field theory we study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A…

统计力学 · 物理学 2007-05-23 M. Mueller , K. Binder , E. V. Albano

We study nonequilibrium phase transitions of reaction-diffusion systems defined on randomly diluted lattices, focusing on the transition across the lattice percolation threshold. To develop a theory for this transition, we combine classical…

统计力学 · 物理学 2009-04-27 Man Young Lee , Thomas Vojta

It is well known that systems with long-range interactions may exhibit different phase diagrams when studied within two different ensembles. In many of the previously studied examples of ensemble inequivalence, the phase diagrams differ…

统计力学 · 物理学 2015-06-11 Or Cohen , David Mukamel

We study the equilibrium and dynamical properties of a spherical version of the frustrated Blume-Emery-Griffiths model at mean field level for attractive particle-particle coupling (K>0). Beyond a second order transition line from a…

统计力学 · 物理学 2009-11-10 A. Caiazzo , A. Coniglio , M. Nicodemi

We investigate a modified version of the $AB$ random sequential adsorption model. Specifically, this model involves the deposition of two distinct types of particles onto a lattice, with the constraint that different types cannot occupy…

数学物理 · 物理学 2024-08-12 Charles S. do Amaral , Diogo C. dos Santos

We investigate the structural and thermodynamic properties of a model of particles with $2$ patches of type $A$ and $10$ patches of type $B$. Particles are placed on the sites of a face centered cubic lattice with the patches oriented along…

软凝聚态物质 · 物理学 2015-06-18 J. M. Tavares , N. G. Almarza , M. M. Telo da Gama