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We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

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…

Statistical Mechanics · Physics 2009-10-31 Michela Rossi , Romualdo Pastor-Satorras , Alessandro Vespignani

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…

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

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…

Statistical Mechanics · Physics 2007-05-23 F. van Wijland

We study sandpile models as closed systems, with conserved energy density $\zeta$ playing the role of an external parameter. The critical energy density, $\zeta_c$, marks a nonequilibrium phase transition between active and absorbing…

Statistical Mechanics · Physics 2016-08-31 Alessandro Vespignani , Ronald Dickman , Miguel A. Munoz , Stefano Zapperi

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…

Statistical Mechanics · Physics 2015-06-24 Haye Hinrichsen

We study nonequilibrium phase transitions in a mass-aggregation model which allows for diffusion, aggregation on contact, dissociation, adsorption and desorption of unit masses. We analyse two limits explicitly. In the first case mass is…

Statistical Mechanics · Physics 2009-10-31 Satya N. Majumdar , Supriya Krishnamurthy , Mustansir Barma

We elucidate a long-standing puzzle about the non-equilibrium universality classes describing self-organized criticality in sandpile models. We show that depinning transitions of linear interfaces in random media and absorbing phase…

Statistical Mechanics · Physics 2007-05-23 Juan A. Bonachela , H. Chate , I. Dornic , Miguel A. Munoz

We present a pedagogical introduction to self-organized criticality (SOC), unraveling its connections with nonequilibrium phase transitions. There are several paths from a conventional critical point to SOC. They begin with an…

Statistical Mechanics · Physics 2015-06-25 Ronald Dickman , Miguel A. Munoz , Alessandro Vespignani , Stefano Zapperi

We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

Statistical Mechanics · Physics 2023-08-15 M. Ali Saif

We study a simple sandpile model of active-absorbing state transitions in which a particle can hop out of a site only if the number of particles at that site is above a certain threshold. We show that the active phase has product measure…

Statistical Mechanics · Physics 2009-11-10 Kavita Jain

We explore the connection between self-organized criticality and phase transitions in models with absorbing states. Sandpile models are found to exhibit criticality only when a pair of relevant parameters - dissipation epsilon and driving…

Statistical Mechanics · Physics 2009-10-30 Ronald Dickman , Alessandro Vespignani , Stefano Zapperi

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

Absorbing phase transitions (APTs) are widespread in non-equilibrium systems, spanning condensed matter, epidemics, earthquakes, ecology, and chemical reactions. APTs feature an absorbing state in which the system becomes entrapped, along…

Statistical Mechanics · Physics 2025-12-09 R. Maire , A. Plati , M. Stockinger , E. Trizac , F. Smallenburg , G. Foffi

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…

Statistical Mechanics · Physics 2009-11-10 R. Rajesh

We demonstrate that absorbing phase transitions in one dimension may be induced by the dynamics of a single site. As an example we consider a one-dimensional model of diffusing particles, where a single site at the boundary evolves…

Statistical Mechanics · Physics 2008-04-23 A. C. Barato , H. Hinrichsen

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit a continuous phase transition from an…

Statistical Mechanics · Physics 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

The absorbing "ricepile" model with stochastic toppling rules has been numerically studied. Local limited, local unlimited, nonlocal limited and nonlocal unlimited versions of the absorbing model have been investigated. Transport properties…

Statistical Mechanics · Physics 2016-08-31 Maria Markosova

Driven particle transport in crowded and confining environments is fundamental to diverse phenomena across physics, chemistry, and biology. A main objective in studying such systems is to identify novel emergent states and phases of…

Statistical Mechanics · Physics 2026-02-23 Annika Vonhusen , Sören Schweers , Artem Ryabov , Philipp Maass

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…

Statistical Mechanics · Physics 2009-11-11 S. Lubeck
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