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One of the most impressive features of continuous phase transitions is the concept of universality, that allows to group the great variety of different critical phenomena into a small number of universality classes. All systems belonging to…

统计力学 · 物理学 2009-11-11 S. Lubeck

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and…

统计力学 · 物理学 2009-11-13 Su-Chan Park , Hyunggyu Park

Nonequilibrium phase transitions between an active and an absorbing state are found in models of populations, epidemics, autocatalysis, and chemical reactions on a surface. While absorbing-state phase transitions fall generically in the DP…

统计力学 · 物理学 2009-11-07 Ronald Dickman

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

适应与自组织系统 · 物理学 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means…

统计力学 · 物理学 2007-05-23 Uwe C. Tauber

We investigate the critical behavior of systems exhibiting a continuous absorbing phase transition in the presence of a conserved field coupled to the order parameter. The results obtained point out the existence of a new universality class…

统计力学 · 物理学 2009-10-31 Michela Rossi , Romualdo Pastor-Satorras , Alessandro Vespignani

This review addresses recent developments in nonequilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed percolation is investigated in detail. The…

统计力学 · 物理学 2015-06-24 Haye Hinrichsen

In this work we analyze the universal scaling functions and the critical exponents at the upper critical dimension of a continuous phase transition. The consideration of the universal scaling behavior yields a decisive check of the value of…

统计力学 · 物理学 2009-11-10 S. Lubeck , P. C. Heger

Phase transitions from an active into an absorbing, inactive state are generically described by the critical exponents of directed percolation (DP), with upper critical dimension d_c = 4. In the framework of single-species…

凝聚态物理 · 物理学 2009-10-31 Y. Y. Goldschmidt , H. Hinrichsen , M. Howard , U. C. Täuber

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…

统计力学 · 物理学 2009-04-27 Man Young Lee , Thomas Vojta

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

统计力学 · 物理学 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

This work is designed to overview our present knowledge about universality classes occurring in nonequilibrium systems defined on regular lattices. In the first section I summarize the most important critical exponents, relations and the…

统计力学 · 物理学 2016-08-31 Geza Odor

We present a general field-theoretic strategy to analyze three connected families of continuous phase transitions which occur in nonequilibrium steady-states. We focus on transitions taking place between an active state and one absorbing…

统计力学 · 物理学 2007-05-23 F. van Wijland

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

统计力学 · 物理学 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an…

统计力学 · 物理学 2009-11-10 Sungchul Kwon , Gunter M. Schutz

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…

统计力学 · 物理学 2016-06-23 M. Marcuzzi , M. Buchhold , S. Diehl , I. Lesanovsky

We study the critical exponents in the universal scaling laws of a holographic non-equilibrium steady state nearby its critical point of phase transition, which is driven by an AC electric field sitting in the boundary of the bulk. The…

高能物理 - 理论 · 物理学 2018-12-05 Hua-Bi Zeng , Hai-Qing Zhang

Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is characterized by nonuniversal critical exponents, which vary…

凝聚态物理 · 物理学 2009-10-28 Ronald Dickman

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a…

凝聚态物理 · 物理学 2009-10-22 J. F. F. Mendes , Ronald Dickman , Malte Henkel , M. Ceu Marques

The nonequilibrium phase transition in a system of diffusing, coagulating particles in the presence of a steady input and evaporation of particles is studied. The system undergoes a transition from a phase in which the average number of…

统计力学 · 物理学 2009-11-10 R. Rajesh
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