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This paper describes the use of simple lattice models for studying the properties of structurally disordered systems like glasses and granulates. The models considered have crystalline states as ground states, finite connectivity, and are…

Statistical Mechanics · Physics 2015-06-24 Alberto Petri

We examine a two-dimensional nonequilibrium lattice model where particles adsorb at empty sites and desorb when the number of neighbouring particles is greater than a given threshold. In a certain range of parameters the model exhibits…

Statistical Mechanics · Physics 2019-07-03 Adam Lipowski , Dorota Lipowska

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

Quantum Physics · Physics 2009-11-07 Christoph Simon

We numerically survey predictions on the shapes and scaling laws of particle condensates that emerge as a result of spontaneous symmetry breaking in pair- factorized steady states of a stochastic transport process. The specific model…

Statistical Mechanics · Physics 2015-06-05 Eugen Ehrenpreis , Hannes Nagel , Wolfhard Janke

We study numerically how multiple deformable capsules squeeze into a constriction. This situation is largely encountered in microfluidic chips designed to manipulate living cells, which are soft entities. We use fully three-dimensional…

Soft Condensed Matter · Physics 2021-12-15 Clément Bielinski , Othmane Aouane , Jens Harting , Badr Kaoui

We study a conservative stochastic lattice dynamics (Kawasaki dynamics) in contact everywhere in the bulk with a heat bath. Particles interact via an Ising Hamiltonian and phase separation occurs at low temperature. We drive the system out…

Statistical Mechanics · Physics 2025-12-22 Meander Van den Brande , Kyosuke Adachi , Francois Huveneers

We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent…

Statistical Mechanics · Physics 2015-03-14 Paul Chleboun , Stefan Grosskinsky

We consider a simple model consisting of particles with four bonding sites ("patches"), two of type A and two of type B, on the square lattice, and investigate its global phase behavior by simulations and theory. We set the interaction…

Soft Condensed Matter · Physics 2011-11-24 N. G. Almarza , J. M. Tavares , M. Simões , M. M. Telo da Gama

In a recently proposed computational model of open molecular systems out of equilibrium [Ebrahimi Viand et al. J.Chem.Phys. 153, 101102 (2020)], the action of different reservoirs enters as a linear sum into the Liouville-type evolution…

Statistical Mechanics · Physics 2021-08-05 Rupert Klein , Roya Ebrahimi Viand , Felix Höfling , Luigi Delle Site

We study condensation transitions in the steady state of a zero-range process with two species of particles. The steady state is exactly soluble -- it is given by a factorised form provided the dynamics satisfy certain constraints -- and we…

Statistical Mechanics · Physics 2009-11-10 T. Hanney , M. R. Evans

The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate…

Analysis of PDEs · Mathematics 2021-12-28 Miguel Escobedo

Quasiperiodic behaviour is known to occur in systems with enforced quasiperiodicity or randomness, in either the lattice structure or the potential, as well as in periodically driven systems. Here, we present instead a setting where…

Mesoscale and Nanoscale Physics · Physics 2023-02-10 Cecilie Glittum , Antonio Štrkalj , Claudio Castelnovo

We analyze a lattice model closely related to the one-dimensional inelastic gas with periodic boundary condition. The one-dimensional inelastic gas tends to form high density clusters of particles with almost the same velocity, separated by…

Soft Condensed Matter · Physics 2009-11-10 Srdjan Ostojic , Debabrata Panja , Bernard Nienhuis

Instabilities of fluid flows often generate turbulence. Using extensive direct numerical simulations, we study two-dimensional turbulence driven by a wavenumber-localised instability superposed on stochastic forcing, in contrast to previous…

Fluid Dynamics · Physics 2022-12-14 Adrian van Kan , Benjamin Favier , Keith Julien , Edgar Knobloch

A crucial assumption in the conventional description of thermal conduction is the existence of local thermal equilibrium. We test this assumption in two simple models of heat conduction. Our first model is a linear chain of planar spins…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , Deepak Dhar

The dynamics of a mean-field model of three coupled condensates is studied for initial states characterized by twin condensates. Condensates occupy an open three-well chain, where the central potential-well depth is an independent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Buonsante , R. Franzosi , V. Penna

We consider the nonequilibrium protocol where two semi-infinite gapped XXZ chains, initially prepared in different equilibrium states, are suddenly joint together. At large times, a generalized hydrodynamic description applies, according to…

Statistical Mechanics · Physics 2017-09-15 Lorenzo Piroli , Jacopo De Nardis , Mario Collura , Bruno Bertini , Maurizio Fagotti

This paper is devoted to the study of the dynamics of two weakly-coupled Bose-Einstein condensates confined in a double-well trap and perturbed by random external forces. Energy diffusion due to random forcing allows the system to visit…

Other Condensed Matter · Physics 2009-11-10 J. Garnier , F. Kh. Abdullaev

The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here…

Statistical Mechanics · Physics 2009-11-13 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

Soft Condensed Matter · Physics 2020-08-21 Derek Frydel , Yan Levin
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