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Nonequilibrium phenomena of the phase transitions are studied. It is shown that due to finite relaxation time of the particle distributions, the use of scalar background dependent distribution functions is inconsistent.This observation may…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Riotto , I. Vilja

The present work is an endeavour to determine analytically features of the stationary measure of a non-integrable zero-range process, and to investigate the possible existence of phase transitions for such a nonequilibrium model. The rates…

Statistical Mechanics · Physics 2009-11-20 C Godreche

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

Robust phases of matter, which remain stable under small perturbations, are of fundamental importance in statistical physics and quantum information. Recent advances in interactive quantum dynamics have led to renewed interest in…

Statistical Mechanics · Physics 2026-01-28 Hyunsoo Ha , David A. Huse , Rhine Samajdar

We study the absorbing state transition in particulate systems under spatially inhomogeneous driving using a modified random organization model. For smoothly varying driving the steady state results map onto the homogeneous absorbing state…

Soft Condensed Matter · Physics 2024-03-06 Bhanu Prasad Bhowmik , Christopher Ness

We study the long-time behavior of conservative interacting particle systems in $Z$: the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We prove that both systems undergo an absorbing-state phase…

Probability · Mathematics 2019-05-13 Leonardo T. Rolla , Vladas Sidoravicius

We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric…

High Energy Physics - Theory · Physics 2015-06-04 Shin Nakamura

We instigate the properties of the threshold contact process (TCP), a process showing an absorbing-state phase transition with infinitely many absorbing states, on random complex networks. The finite size scaling exponents characterizing…

Statistical Mechanics · Physics 2015-06-11 Renan S. Sander , Silvio C. Ferreira , Romualdo Pastor-Satorras

The synchronization transition between two coupled replicas of spatio-temporal chaotic systems in 2+1 dimensions is studied as a phase transition into an absorbing state - the synchronized state. Confirming the scenario drawn in 1+1…

Statistical Mechanics · Physics 2010-07-14 F. Ginelli , M. Cencini , A. Torcini

Nonequilibrium phase transitions are discussed with emphasis on general features such as the role of detailed balance violation in generating effective (long-range) interactions, the importance of dynamical anisotropies, the connection…

Statistical Mechanics · Physics 2007-05-23 Zoltan Racz

The properties of the absorbing states of non-equilibrium models belonging to the conserved directed percolation universality class are studied. We find that at the critical point the absorbing states are hyperuniform, exhibiting…

Statistical Mechanics · Physics 2015-03-24 Daniel Hexner , Dov Levine

Self-Organized Criticality is the emergence of long-ranged spatio-temporal correlations in non-equilibrium steady states of slowly driven systems without fine tuning of any control parameter. Sandpiles were proposed as prototypical examples…

Soft Condensed Matter · Physics 2007-05-23 S. S. Manna

We investigate the origin of the difference, which was noticed by Fey {\it et al.} [Phys. Rev. Lett. {\bf 104}, 145703 (2010)], between the steady state density of an Abelian sandpile model (ASM) and the transition point of its…

Statistical Mechanics · Physics 2018-03-08 Su-Chan Park

Topological defects are fundamental to the collective dynamics of non-equilibrium systems and in active matter, mediating spontaneous flows, dynamic self-organization, and emergent pattern formation. Here, we reveal critical states in…

Disordered hyperuniform structures are an exotic state of matter having suppressed density fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any long range orientational order. In the past decade,…

Soft Condensed Matter · Physics 2024-11-18 Yusheng Lei , Ran Ni

When a second-order phase transition is crossed at fine rate, the evolution of the system stops being adiabatic as a result of the critical slowing down in the neighborhood of the critical point. In systems with a topologically nontrivial…

Statistical Mechanics · Physics 2013-09-13 A. del Campo , T. W. B. Kibble , W. H. Zurek

We analyze nonequilibrium lattice models with up-down symmetry and two absorbing states by mean-field approximations and numerical simulations in two and three dimensions. The phase diagram displays three phases: paramagnetic, ferromagnetic…

Statistical Mechanics · Physics 2015-06-23 Áttila L. Rodrigues , Christophe Chatelain , Tânia Tomé , Mário J. De Oliveira

The diffusive epidemic process is a paradigmatic example of an absorbing state phase transition in which healthy and infected individuals spread with different diffusion constants. Using stochastic activity spreading simulations in…

Statistical Mechanics · Physics 2022-03-02 Borislav Polovnikov , Patrick Wilke , Erwin Frey

Two replicas of spatially extended chaotic systems synchronize to a common spatio-temporal chaotic state when coupled above a critical strength. As a prototype of each single spatio-temporal chaotic system a lattice of maps interacting via…

Chaotic Dynamics · Physics 2008-09-23 M. Cencini , C. J. Tessone , A. Torcini

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

Mathematical Physics · Physics 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi
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