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We introduce an interface model with q-fold symmetry to study the nonequilibrium phase transition (NPT) from an active to an inactive state at the bottom layer. In the model, q different species of particles are deposited or are evaporated…

统计力学 · 物理学 2007-05-23 B. Kahng , S. Park

Spontaneous symmetry breaking is a hallmark of equilibrium systems, typically characterized by a single critical point separating ordered and disordered phases. Recently, a novel class of non-equilibrium phase transitions was uncovered…

统计力学 · 物理学 2025-12-16 Gustavo A. L. Forão , Jonas Berx , Tan Van Vu , Carlos E. Fiore

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

统计力学 · 物理学 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

We study a three species monomer-monomer catalytic surface reaction model with a reactive steady state bordered by three equivalent unreactive phases where the surface is saturated with one species. The transition from the reactive to a…

凝聚态物理 · 物理学 2009-10-28 K. E. Bassler , D. A. Browne

We study the absorbing-state phase transition in the one-dimensional contact process under the combined influence of spatial and temporal random disorders. We focus on situations in which the spatial and temporal disorders decouple. Couched…

统计力学 · 物理学 2022-10-04 Xuecheng Ye , Thomas Vojta

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

统计力学 · 物理学 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

We investigate the scaling properties of phase transitions between survival and extinction (active-to-absorbing state phase transition, AAPT) in a model, that by itself belongs to the directed percolation (DP) universality class,…

统计力学 · 物理学 2012-08-22 Niladri Sarkar , Abhik Basu

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

统计力学 · 物理学 2021-09-02 Ryusuke Hamazaki

Driven-dissipative systems are expected to give rise to non-equilibrium phenomena that are absent in their equilibrium counterparts. However, phase transitions in these systems generically exhibit an effectively classical equilibrium…

量子气体 · 物理学 2020-02-28 Jeremy T. Young , Alexey V. Gorshkov , Michael Foss-Feig , Mohammad F. Maghrebi

We explore the two-dimensional generalized contact process with two absorbing states by means of large-scale Monte-Carlo simulations. In part of the phase diagram, an infinitesimal creation rate of active sites between inactive domains is…

统计力学 · 物理学 2015-03-17 Man Young Lee , Thomas Vojta

We study three models of driven sandpile-type automata in the presence of quenched random defects. When the dynamics is conservative, all these models, termed the random sites (A), random bonds (B), and random slopes (C), self-organize into…

凝聚态物理 · 物理学 2015-06-25 Bosiljka Tadic , Ramakrishna Ramaswamy

A simple model economy with locally interacting producers and consumers is introduced. When driven by extremal dynamics, the model self-organizes {\em not} to an attractor state, but to an asymptote, on which the economy has a constant rate…

统计力学 · 物理学 2011-04-12 Simon F. Norrelykke , Per Bak

We present a probabilistic cellular automaton with two absorbing states, which can be considered a natural extension of the Domany-Kinzel model. Despite its simplicity, it shows a very rich phase diagram, with two second-order and one…

统计力学 · 物理学 2007-05-23 Franco Bagnoli , Nino Boccara , Raul Rechtman

We theoretically study mixtures of chemically-interacting particles, which produce or consume a chemical to which they are attracted or repelled, in the most general case of many coexisting species. We find a new class of active phase…

软凝聚态物质 · 物理学 2019-07-15 Jaime Agudo-Canalejo , Ramin Golestanian

The effects of quenched disorder on nonequilibrium phase transitions in the directed percolation universality class are revisited. Using a strong-disorder energy-space renormalization group, it is shown that for any amount of disorder the…

统计力学 · 物理学 2008-09-03 J. A. Hoyos

Spatial self-similarity is a hallmark of critical phenomena. We study the dynamic process of percolation, in which bonds are incrementally added to an initially empty lattice until the system becomes fully occupied. By tracking the gap --…

统计力学 · 物理学 2026-04-13 Mingzhong Lu , Ming Li , Youjin Deng

We characterize the different morphological phases that occur in a simple one-dimensional model of propagation of innovations among economic agents [X.\ Guardiola, {\it et. al.}, Phys. Rev E {\bf 66}, 026121 (2002)]. We show that the model…

统计力学 · 物理学 2009-11-10 M. Llas , P. M. Gleiser , J. M. Lopez , A. Diaz-Guilera

This paper is devoted to investigating non-equilibrium phase transitions to an absorbing state, which are generically encountered in reaction-diffusion processes. It is a review, based on [Phys. Rev. Lett. 92, 195703; Phys. Rev. Lett. 92,…

统计力学 · 物理学 2009-11-11 Léonie Canet

In this paper we present rigorous results on the critical behavior of the Activated Random Walk model. We conjecture that on a general class of graphs, including $\mathbb{Z}^d$, and under general initial conditions, the system at the…

概率论 · 数学 2018-06-12 Manuel Cabezas , Leonardo T. Rolla , Vladas Sidoravicius

We study the influence of feedback operations on the dynamics of $(d+1)$-dimensional monitored random quantum circuit. Competition between unitary dynamics and measurements leads to an entanglement phase transition, while the feedback…

统计力学 · 物理学 2024-02-23 Piotr Sierant , Xhek Turkeshi