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A proposed paradigm for out-of-equilibrium quantum systems is that an analogue of quantum phase transitions exists between parameter regimes of qualitatively distinct time-dependent behavior. Here, we present evidence of such a transition…

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

We study the continuous absorbing-state phase transition in the one-dimensional diffusive epidemic process via mean-field theory and Monte Carlo simulation. In this model, particles of two species (A and B) hop on a lattice and undergo…

Statistical Mechanics · Physics 2009-11-11 Daniel Souza Maia , Ronald Dickman

The phase separation of a simple binary mixture of incompatible linear polymers in solution is investigated using an extension of the sedimentation equilibrium method, whereby the osmotic pressure of the mixture is extracted from the…

Soft Condensed Matter · Physics 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

Quantum Physics · Physics 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara

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 obtain the steady-state phase diagram of a transverse field XY spin chain coupled at its ends to magnetic reservoirs held at different magnetic potentials. In the long-time limit, the magnetization bias across the system generates a…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Tharnier O. Puel , Stefano Chesi , Stefan Kirchner , Pedro Ribeiro

We provide solid evidence for the long-standing presumption that model Hamiltonians with short-range interactions faithfully reproduce the physics of the long-range Coulomb interaction in real materials. For this aim, we address a generic…

Strongly Correlated Electrons · Physics 2025-06-09 Florian Gebhard , Kevin Bauerbach , Örs Legeza

We study the binary phase separation in active model B, on a two-dimensional substrate with inhomogeneous activity. The activity was introduced with a maximum value at the center of the box and spread as a Bivariate-Gaussian distribution as…

Soft Condensed Matter · Physics 2021-05-24 Ajeya Krishna , Shradha Mishra

The Hartree-Fock ground-state phase diagram of the one-dimensional Hubbard model is calculated in the $\mu-U$ plane, restricted to phases with no charge density modulation, extending the results presented in cond-mat/9511116. This allows…

Condensed Matter · Physics 2007-05-23 J. H. Samson

We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and…

Statistical Mechanics · Physics 2007-05-23 Peter F. Arndt , Vladimir Rittenberg

Pair interactions between active particles need not follow Newton's third law. In this work we propose a continuum model of pattern formation due to non-reciprocal interaction between multiple species of scalar active matter. The classical…

Statistical Mechanics · Physics 2020-10-21 Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian

Recent studies have indicated that the coarse grained dynamics of a large class of traffic models and driven-diffusive systems may be described by urn models. We consider a class of one-dimensional urn models whereby particles hop from an…

Statistical Mechanics · Physics 2009-11-10 E. Levine , D. Mukamel , G. Ziv

We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves,…

Superconductivity · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Using an analytically tractable lattice model for reaction-diffusion processes of hard-core particles we demonstrate that under nonequilibrium conditions phase coexistence may arise even if the system is effectively one-dimensional as e.g.…

Statistical Mechanics · Physics 2007-05-23 Fatemeh Tabatabaei , Gunter M. Schütz

A biologically motivated model for spatio-temporal coexistence of two competing species is studied by mean-field theory and numerical simulations. In d>1 dimensions the phase diagram displays an extended region where both species coexist,…

Statistical Mechanics · Physics 2007-05-23 Heiko Reinhardt , Frank Boehm , Barbara Drossel , Haye Hinrichsen

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential and focus on paramagnetic effects of the external magnetic field. The Hamiltonian considered consists of…

Strongly Correlated Electrons · Physics 2013-01-22 Konrad Kapcia , Stanisław Robaszkiewicz

We introduce and solve a model of hardcore particles on a one dimensional periodic lattice which undergoes an active-absorbing state phase transition at finite density. In this model an occupied site is defined to be active if its left…

Statistical Mechanics · Physics 2009-07-28 Urna Basu , P. K. Mohanty

Systems with long-range interactions display a short-time relaxation towards Quasi-Stationary States (QSSs), whose lifetime increases with system size. With reference to the Hamiltonian Mean Field (HMF) model, we here review Lynden-Bell's…

Statistical Mechanics · Physics 2016-11-23 Pierre-Henri Chavanis , Giovanni De Ninno , Duccio Fanelli , Stefano Ruffo

Non-reciprocal interactions are among the simplest mechanisms that drive a physical system out of thermal equilibrium, leading to novel phenomena such as oscillatory pattern formation. In this paper, we introduce a ternary phase separation…

Soft Condensed Matter · Physics 2025-12-09 Xiao Ma , Michael E. Cates
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