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First-order irreversible phase transitions (IPT's) between an active regime and an absorbing state are studied in two models by means of both simulations and mean-field stability analysis. Hysteresis around coexistence is the result of the…

Statistical Mechanics · Physics 2007-05-23 Roberto A. Monetti , Alejandro Rozenfeld , Ezequiel V. Albano

Information-theoretic phase transitions, such as the measurement-induced phase transition (MIPT), characterize the robustness of quantum dynamics to local monitoring and are naturally formulated in terms of trajectories conditioned on…

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

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…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

Percolation is a paradigmatic model in disordered systems and has been applied to various natural phenomena. The percolation transition is known as one of the most robust continuous transitions. However, recent extensive studies have…

Statistical Mechanics · Physics 2015-07-13 Y. S. Cho , B. Kahng

Turbulence is one of the most frequently encountered non-equilibrium phenomena in nature yet characterising the transition that gives rise to it has remained an elusive task. Although in recent studies critical points marking the onset of…

Fluid Dynamics · Physics 2015-10-19 Liang Shi , Gregoire Lemoult , Kerstin Avila , Shreyas Jalikop , Marc Avila , Björn Hof

One possible framework to interpret the irreversibility transition observed in periodically driven colloidal suspensions is that of a non-equilibrium phase transition towards an absorbing reversible state at low amplitude of the driving…

Statistical Mechanics · Physics 2016-03-30 Elsen Tjhung , Ludovic Berthier

Directed percolation is one of the most prominent universality classes of nonequilibrium phase transitions and can be found in a large variety of models. Despite its theoretical success, no experiment is known which clearly reproduces the…

Statistical Mechanics · Physics 2015-06-25 Haye Hinrichsen

The well-established universality classes of absorbing critical phenomena are directed percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with diffusion (PCPD) has been investigated extensively and claimed…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh , Hyunggyu Park

Phase transitions and critical phenomena are among the most intriguing phenomena in nature and society. They are classified as first-order phase transitions (FOPTs) and continuous ones. While the latter show marvelous phenomena of scaling…

Statistical Mechanics · Physics 2025-03-24 Fan Zhong

We study absorbing phase transitions in systems of branching annihilating random walkers and pair contact process with diffusion on a one dimensional ring, where the walkers hop to their nearest neighbor with a bias $\epsilon$. For…

Statistical Mechanics · Physics 2019-03-13 Bijoy Daga , Purusattam Ray

We identify a new universality class of phase transitions that arises in non-normal systems, challenging the classical view that transitions require eigenvalue instabilities. In traditional bifurcation theory, critical phenomena emerge when…

Statistical Mechanics · Physics 2025-10-10 Virgile Troude , Didier Sornette

Percolation is the simplest fundamental model in statistical mechanics that exhibits phase transitions signaled by the emergence of a giant connected component. Despite its very simple rules, percolation theory has successfully been applied…

Statistical Mechanics · Physics 2015-06-09 Abbas Ali Saberi

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

Hybrid percolation transitions (HPTs) induced by cascading processes have been observed in diverse complex systems such as $k$-core percolation, breakdown on interdependent networks and cooperative epidemic spreading models. Much effort has…

Physics and Society · Physics 2017-08-16 Deokjae Lee , Wonjun Choi , J. Kertész , B. Kahng

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state.…

Statistical Mechanics · Physics 2009-10-30 Pratip Bhattacharyya

An introductory review on the critical behaviour of some irreversible reaction systems is given. The study of these systems has attracted great attention during the last decades due to, on the one hand, the rich and complex underlying…

Statistical Mechanics · Physics 2007-06-05 Ernesto S. Loscar , Ezequiel V. Albano

Photo-induced phase-transitions (PIPTs) driven by highly cooperative interactions are of fundamental interest as they offer a way to tune and control material properties on ultrafast timescales. Due to strong correlations and interactions,…

Materials Science · Physics 2022-11-03 Sangeeta Rajpurohit , Jacopo Simoni , Liang Z. Tan

We consider a modification of the contact process incorporating higher-order reaction terms. The original contact process exhibits a non-equilibrium phase transition belonging to the universality class of directed percolation. The…

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

In a new type of percolation phase transition, which was observed in a set of non-equilibrium models, each new connection between vertices is chosen from a number of possibilities by an Achlioptas-like algorithm. This causes preferential…

Disordered Systems and Neural Networks · Physics 2015-06-18 R. A. da Costa , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes
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