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Stochastic sandpiles self-organize to a critical point with scaling behavior different from directed percolation (DP) and characterized by the presence of an additional conservation law. This is usually called C-DP or Manna universality…

统计力学 · 物理学 2009-11-13 Juan A. Bonachela , Miguel A. Munoz

A recent study of conserved Manna model, with both discrete and continuous variable, indicates that absorbing phase transitions therein belong to the directed percolation (DP) universality class. In this context we revisit critical…

统计力学 · 物理学 2013-07-16 Urna Basu , Mahashweta Basu , P. K. Mohanty

Fixed-energy sandpiles with stochastic update rules are known to exhibit a nonequilibrium phase transition from an active phase into infinitely many absorbing states. Examples include the conserved Manna model, the conserved lattice gas,…

统计力学 · 物理学 2012-07-24 Mahashweta Basu , Urna Basu , Sourish Bondyopadhyay , P. K. Mohanty , Haye Hinrichsen

This is a comprehensive report on the phase transition between two turbulent states of electroconvection in nematic liquid crystals, which was recently found by the authors to be in the directed percolation (DP) universality class [K. A.…

统计力学 · 物理学 2009-11-19 Kazumasa A. Takeuchi , Masafumi Kuroda , Hugues Chaté , Masaki Sano

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…

统计力学 · 物理学 2019-03-13 Bijoy Daga , Purusattam Ray

We review the critical behavior of nonequilibrium systems, such as directed percolation (DP) and branching-annihilating random walks (BARW), which possess phase transitions into absorbing states. After reviewing the bulk scaling behavior of…

统计力学 · 物理学 2009-11-07 P. Frojdh , M. Howard , K. B. Lauritsen

We show that the stochastic field theory for directed percolation in presence of an additional conservation law (the C-DP class) can be mapped exactly to the continuum theory for the depinning of an elastic interface in short-range…

无序系统与神经网络 · 物理学 2015-06-23 Pierre Le Doussal , Kay Jörg Wiese

We introduce a stochastic sandpile model where finite drive and dissipation are coupled to the activity field. The absorbing phase transition here, as expected, belongs to the directed percolation (DP) universality class. We focus on the…

统计力学 · 物理学 2015-06-23 U. Basu , P. K. Mohanty

At non-equilibrium phase transitions into absorbing (trapped) states, it is well known that the directed percolation (DP) critical scaling is shared by two classes of models with a single (S) absorbing state and with infinitely many (IM)…

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

In this work we consider five different lattice models which exhibit continuous phase transitions into absorbing states. By measuring certain universal functions, which characterize the steady state as well as the dynamical scaling…

统计力学 · 物理学 2009-11-11 S. Lubeck , R. D. Willmann

Jamming transition is traditionally regarded as a geometric transition governed by static contact networks. Recently, dynamic phase transitions of athermal particles under periodic shearing provide a new lens on this problem, leading to a…

统计力学 · 物理学 2026-04-24 He-Da Wang , Bo Wang , Qun-Li Lei , Yu-Qiang Ma

Scaling nature of absorbing critical phenomena is well understood for the directed percolation (DP) and the directed Ising (DI) systems. However, a full analysis of the crossover behavior is still lacking, which is of our interest in this…

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

We study the nature of the synchronization transition in spatially extended systems by discussing a simple stochastic model. An analytic argument is put forward showing that, in the limit of discontinuous processes, the transition belongs…

统计力学 · 物理学 2010-01-19 F. Ginelli , R. Livi , A. Politi , A. Torcini

The crossover behavior of various models exhibiting phase transition to absorbing phase with parity conserving class has been investigated by numerical simulations and cluster mean-field method. In case of models exhibiting Z_2 symmetric…

统计力学 · 物理学 2009-11-13 Geza Odor , Nora Menyhard

We study a monomer-dimer model with repulsive interactions between the same species in one dimension. With infinitely strong interactions the model exhibits a continuous transition from a reactive phase to an inactive phase with two…

凝聚态物理 · 物理学 2015-06-25 Hyunggyu Park , Heungwon Park

We study the relation between the directed polymer and the directed percolation models, for the case of a disordered energy landscape where the energies are taken from bimodal distribution. We find that at the critical concentration of the…

统计力学 · 物理学 2009-10-31 Ehud Perlsman , Shlomo Havlin

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

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.…

统计力学 · 物理学 2009-10-30 Pratip Bhattacharyya

We present a general scaling theory for the surface critical behavior of non-equilibrium systems with phase transitions into absorbing states. The theory allows for two independent surface exponents which satisfy generalized hyperscaling…

统计力学 · 物理学 2009-10-31 K. B. Lauritsen , P. Frojdh , M. Howard

Conserved directed-percolation (C-DP) and the depinning transition of a disordered elastic interface belong to the same universality class as has been proven very recently by Le Doussal and Wiese [Phys. Rev. Lett.~\textbf{114}, 110601…

统计力学 · 物理学 2016-11-23 Hans-Karl Janssen , Olaf Stenull
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