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We study the phase diagram and the critical behavior of a one-dimensional radius-1 two-state totalistic probabilistic cellular automaton having two absorbing states. This system exhibits a first-order phase transition between the fully…

Statistical Mechanics · Physics 2008-02-03 F. Bagnoli , N. Boccara , P. Palmerini

We analyze from the renormalization group perspective a universality class of reaction-diffusion systems with absorbing states. It describes models where the vacuum state is not accessible, as the set of reactions $2 A \to A$ together with…

Statistical Mechanics · Physics 2007-05-23 Omar Al Hammal , Juan A. Bonachela , Miguel A. Munoz

In order to elucidate the role of surfaces at nonequilibrium phase transitions we consider kinetic Ising models with surfaces subjected to a periodic oscillating magnetic field. Whereas the corresponding bulk system undergoes a continuous…

Statistical Mechanics · Physics 2015-06-11 Hyunhang Park , Michel Pleimling

In this work, we investigate an important class of nonequilibrium dynamics in the form of nonreciprocal interactions. In particular, we study how nonreciprocal coupling between two $O(n_i)$ order parameters (with $i=1,2$) affects the…

Statistical Mechanics · Physics 2026-03-24 Jeremy T. Young , Alexey V. Gorshkov , Mohammad Maghrebi

We present a stochastic dynamics model of coupled evolution for the binary states of nodes and links in a complex network. In the context of opinion formation node states represent two possible opinions and link states a positive or…

Physics and Society · Physics 2018-11-26 Meghdad Saeedian , Maxi San Miguel , Raul Toral

The pair contact process (PCP) is a nonequilibrium stochastic model which, like the basic contact process (CP), exhibits a phase transition to an absorbing state. The two models belong to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2015-05-27 F. L. Santos , Ronald Dickman , U. L. Fulco

We review the critical behavior of nonequilibrium systems, such as directed percolation (DP) and branching-annihilating random walks (BARW), which possess phase transitions into absorbing states. After reviewing the bulk scaling behavior of…

Statistical Mechanics · Physics 2009-11-07 P. Frojdh , M. Howard , K. B. Lauritsen

A phase transition of the region of the superconductor near the point contact into a new nonequi- librium state at the critical density of nonequilibriumquasiparticles is observed.

Superconductivity · Physics 2015-12-18 I. K. Yanson , L. F. Rybal'chenko , N. L. Bobrov , V. V. Fisun

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

Standard epidemic models exhibit one continuous, second order phase transition to macroscopic outbreaks. However, interventions to control outbreaks may fundamentally alter epidemic dynamics. Here we reveal how such interventions modify the…

Physics and Society · Physics 2022-07-20 Georg Börner , Malte Schröder , Davide Scarselli , Nazmi Burak Budanur , Björn Hof , Marc Timme

At non-equilibrium phase transitions into absorbing (trapped) states, it is well known that the directed percolation (DP) critical scaling is shared by two classes of models with a single (S) absorbing state and with infinitely many (IM)…

Statistical Mechanics · Physics 2009-11-13 Su-Chan Park , Hyunggyu Park

We study a one-dimensional model which undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted as to predict the exact location of the critical point and…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and…

Statistical Mechanics · Physics 2009-11-07 M. R. Evans , Y. Kafri , E. Levine , D. Mukamel

We study phase transitions and critical phenomena in nonequilibrium steady states controlled by an electric field. We employ the D3/D7 model in the presence of a charge density and electric field at finite temperatures. The system undergoes…

High Energy Physics - Theory · Physics 2023-03-28 Daisuke Endo , Yuichi Fukazawa , Masataka Matsumoto , Shin Nakamura

Recent studies of nonequilibrium phase transitions have shown that in many systems which have transitions involving an arrested phase, the arrested states show suppressed density fluctuations and a cusp in the configurational entropy at the…

Statistical Mechanics · Physics 2020-01-01 Rahul Dandekar

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and…

Statistical Mechanics · Physics 2011-04-15 Ferenc Igloi , Michel Pleimling , Loic Turban

We study a directed stochastic sandpile model of Self-Organized Criticality, which exhibits recurrent, multiple topplings, putting it in a separate universality class from the exactly solved model of Dhar and Ramaswamy. We show that in the…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler

We present a numerical study on an interacting monomer-dimer model with nearest neighbor repulsion on a square lattice, which possesses two symmetric absorbing states. The model is observed to exhibit two nearby continuous transitions: the…

Statistical Mechanics · Physics 2015-05-27 Keekwon Nam , Sangwoong Park , Bongsoo Kim , Sung Jong Lee

We study a particle system with hopping (random walk) dynamics on the integer lattice $\mathbb Z^d$. The particles can exist in two states, active or inactive (sleeping); only the former can hop. The dynamics conserves the number of…

Statistical Mechanics · Physics 2017-02-22 Ronald Dickman , Leonardo T. Rolla , Vladas Sidoravicius

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…

Statistical Mechanics · Physics 2015-06-25 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma