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A granular system confined in a quasi two-dimensional box that is vertically vibrated can transit to an absorbing state in which all particles bounce vertically in phase with the box, with no horizontal motion. In principle, this state can…

Statistical Mechanics · Physics 2015-06-18 Baptiste Néel , Ignacio Rondini , Alex Turzillo , Nicolás Mujica , Rodrigo Soto

A model for nonequilibrium wetting in 1+1 dimensions is introduced. It comprises adsorption and desorption processes with a dynamics which generically does not obey detailed balance. Depending on the rates of the dynamical processes the…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of non-interacting particles, experiencing elastic collisions with a heavy and periodically…

Statistical Mechanics · Physics 2018-04-04 André L. P. Livorati , Tiago Kroetz , Carl P. Dettmann , Iberê L. Caldas , Edson D. Leonel

We propose a simple model to describe the dynamics of religious affiliation. For such purpose, we built a compartmental model with three distinct subpopulations, namely religious committed individuals, religious noncommitted individuals and…

Physics and Society · Physics 2024-06-28 Nuno Crokidakis

We investigate the dynamical and structural properties of absorbing phase transitions (APTs) within granular systems. Specifically, we examine a model for vibrofluidized systems of spherical grains, which undergo a transition from a state…

Soft Condensed Matter · Physics 2025-12-24 Raphael Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

Materials Science · Physics 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari

Stochastic processes with absorbing states feature remarkable examples of non-equilibrium universal phenomena. While a broad understanding has been progressively established in the classical regime, relatively little is known about the…

Statistical Mechanics · Physics 2016-06-23 M. Marcuzzi , M. Buchhold , S. Diehl , I. Lesanovsky

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

Statistical Mechanics · Physics 2018-12-20 Keiichi Tamai , Masaki Sano

A thermodynamic approach to rapid phase transformations within a diffuse interface in a binary system is developed. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and…

Materials Science · Physics 2009-11-10 Peter Galenko , David Jou

A one-dimensional reaction-diffusion model consisting of two species of particles and vacancies on a ring is introduced. The number of particles in one species is conserved while in the other species it can fluctuate because of creation and…

Statistical Mechanics · Physics 2009-11-13 F H Jafarpour , B Ghavami

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

Nascent quantum computers motivate the exploration of quantum many-body systems in nontraditional scenarios. For example, it has become natural to explore the dynamics of systems evolving under both unitary evolution and measurement. Such…

Statistical Mechanics · Physics 2024-03-15 Nicholas O'Dea , Alan Morningstar , Sarang Gopalakrishnan , Vedika Khemani

A one dimensional non-equilibrium stochastic model is proposed where each site of the lattice is occupied by a particle, which may be of type A or B. The time evolution of the model occurs through three processes: autocatalytic generation…

Statistical Mechanics · Physics 2007-05-23 Wellington G. Dantas , Armando Ticona , Jurgen F. Stilck

We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

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…

Statistical Mechanics · Physics 2009-04-27 Man Young Lee , Thomas Vojta

We present the results of analytical and numerical studies of a one-dimensional nonlocal and nonlinear diffusion equation describing non-equilibrium processes ranging from aggregation phenomena to cooperation of individuals. We study a…

Statistical Mechanics · Physics 2007-05-23 Fabio Cecconi , Jayanth R. Banavar , Amos Maritan

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

We consider a general model in which there is a coupled dynamics of node states and links states in a network. This coupled dynamics coevolves with dynamical changes of the topology of the network caused by a link rewiring mechanism. Such…

Physics and Society · Physics 2020-12-02 Meghdad Saeedian , Maxi San Miguel , Raul Toral