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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 consider Euclidean Conformal Field Theories perturbed by quenched disorder, namely by random fluctuations in their couplings. Such theories are relevant for second-order phase transitions in the presence of impurities or other forms of…

High Energy Physics - Theory · Physics 2016-05-04 Ofer Aharony , Zohar Komargodski , Shimon Yankielowicz

The onset of rigidity in interacting liquids, as they undergo a transition to a disordered solid, is associated with a rearrangement of the low-frequency vibrational spectrum. In this letter, we derive scaling forms for the singular…

Soft Condensed Matter · Physics 2022-11-08 Danilo B. Liarte , Stephen J. Thornton , Eric Schwen , Itai Cohen , Debanjan Chowdhury , James P. Sethna

We present quasi-stationary simulations of the two-dimensional contact process with quenched disorder included through the random dilution of a fraction of the lattice sites (these sites are not susceptible to infection). Our results…

Statistical Mechanics · Physics 2015-03-17 Marcelo M. de Oliveira , Silvio C. Ferreira

We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the control parameter,…

Statistical Mechanics · Physics 2009-11-11 Claudio Castellano , Romualdo Pastor-Satorras

Crackling noise is observed in many disordered non-equilibrium systems in response to slowly changing external conditions. Examples range from Barkhausen noise in magnets to acoustic emission in martensites to earthquakes. Using the…

Statistical Mechanics · Physics 2009-11-07 A. Travesset , R. A. White , K. A. Dahmen

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

Disordered Systems and Neural Networks · Physics 2015-05-13 Gil Refael , Joel E. Moore

The one-dimensional pair contact process with diffusion (PCPD), an interacting particle system with diffusion, pair annihilation, and creation by pairs, has defied a consensus about the universality class that it belongs to. An argument by…

Statistical Mechanics · Physics 2017-09-20 Su-Chan Park

The pair contact process with diffusion is studied by means of multispin Monte Carlo simulations and density matrix renormalization group calculations. Effective critical exponents are found to behave nonmonotonically as functions of time…

Statistical Mechanics · Physics 2009-11-10 G. T. Barkema , E. Carlon

An asymmetric variant of the contact process where the activity spreads with different and independent random rates to the left and to the right is introduced. A real space renormalization scheme is formulated for model by means of which it…

Disordered Systems and Neural Networks · Physics 2013-03-14 Róbert Juhász

We study a new non-equilibrium dynamical model: a marked continuous contact model in $d$-dimensional space ($d \ge 3$). We prove that for certain values of rates (the critical regime) this system has the one-parameter family of invariant…

Mathematical Physics · Physics 2016-02-18 Yuri Kondratiev , Sergey Pirogov , Elena Zhizhina

We investigate the connection between a formal property of the critical behavior of several systems in the presence of quenched disorder, known as "dimensional reduction", and the presence in the same systems at zero temperature of…

Disordered Systems and Neural Networks · Physics 2015-06-11 Gilles Tarjus , Maxime Baczyk , Matthieu Tissier

In this paper we investigate the universality and scaling properties of the well-known quantities in classical statistical mechanics near the quantum phase transition point. We show that transverse susceptibility and derivatives of…

Strongly Correlated Electrons · Physics 2015-03-17 R. Jafari

We examine the influence of quenched disorder on the flocking transition of dense polar active matter. We consider incompressible systems of active particles with aligning interactions under the effect of either quenched random forces or…

Statistical Mechanics · Physics 2022-03-09 Riccardo Ben Alì Zinati , Marc Besse , Gilles Tarjus , Matthieu Tissier

The disorder parameter, defined as the expectation value of the symmetry transformation acting on a subsystem, can be used to characterize symmetric phases as an analogy to detecting spontaneous symmetry breaking (SSB) phases using local…

Strongly Correlated Electrons · Physics 2025-04-15 Wen-Tao Xu , Rui-Zhen Huang

The long-time dynamics of the critical contact process which is brought suddenly out of an uncorrelated initial state undergoes ageing in close analogy with quenched magnetic systems. In particular, we show through Monte Carlo simulations…

Statistical Mechanics · Physics 2007-05-23 Jose J. Ramasco , Malte Henkel , Maria Augusta Santos , Constantino A. da Silva Santos

We study the critical bosonic O(N) vector model with quenched random mass disorder in the large N limit. Due to the replicated action which is sometimes not bounded from below, we avoid the replica trick and adopt a traditional approach to…

Strongly Correlated Electrons · Physics 2023-03-22 Han Ma

When traversing a symmetry breaking second order phase transition at a finite rate, topological defects form whose number dependence on the quench rate is given by simple power laws. We propose a general approach for the derivation of such…

Statistical Mechanics · Physics 2016-03-02 G. Nikoghosyan , R. Nigmatullin , M. B. Plenio

We study two models having an infinite-disorder critical point --- the zero temperature random transverse-field Ising model and the random contact process --- on a star-like network composed of $M$ semi-infinite chains connected to a common…

Disordered Systems and Neural Networks · Physics 2015-06-19 Róbert Juhász

We investigate the nonequilibrium phase transition in the disordered contact process in the presence of long-range spatial disorder correlations. These correlations greatly increase the probability for finding rare regions that are locally…

Statistical Mechanics · Physics 2014-10-28 Ahmed K. Ibrahim , Hatem Barghathi , Thomas Vojta
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