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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…

Statistical Mechanics · Physics 2009-10-31 K. B. Lauritsen , P. Frojdh , M. Howard

We study a one-dimensional model which undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted as to predict the exact location of the critical point and…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

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 experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We study the creep response of solids to a constant external load in the framework of a novel fiber bundle model introduced. Analytical and numerical calculations showed that increasing the external load on a specimen a transition takes…

Statistical Mechanics · Physics 2007-05-23 Ferenc Kun , Yamir Moreno , Raul Cruz Hidalgo , Hans. J. Herrmann

A popular theory of self-organized criticality relates the critical behavior of driven dissipative systems to that of systems with conservation. In particular, this theory predicts that the stationary density of the abelian sandpile model…

Probability · Mathematics 2010-09-22 Anne Fey , Lionel Levine , David B. Wilson

The symmetry properties which determine the critical exponents and universality classes in conservative sandpile models are identified. This is done by introducing a set of models, including all possible combinations of abelian vs.…

Condensed Matter · Physics 2007-05-23 O. Biham , E. Milshtein , S. Solomon

Using Monte Carlo simulations, we show that for a certain model of biological evolution, which is driven by non-extremal dynamics, active and absorbing phases are separated by a critical phase. In this phase both the density of active sites…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

We study absorbing state phase transition in one dimension in presence of a conserved continuous local field (CCLF) called energy. A pair of sites on a lattice is said to be active if one or both sites posses more energy than a pre-defined…

Statistical Mechanics · Physics 2015-03-18 Mahashweta Basu , Ujjal Gayen , P. K. Mohanty

We study a directed stochastic sandpile model of Self-Organized Criticality, which exhibits recurrent, multiple topplings, putting it in a separate universality class from the exactly solved model of Dhar and Ramaswamy. We show that in the…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler

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

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

A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between both regimes. The width of the active zone diverges with system size in the…

Statistical Mechanics · Physics 2009-10-31 Alvaro Corral , Maya Paczuski

Models with a nonequilibrium wetting transition display a transition also in finite systems. This is different from nonequilibrium phase transitions into an absorbing state, where the stationary state is the absorbing one for any value of…

Statistical Mechanics · Physics 2011-03-01 Andre Cardoso Barato

We introduce a one-dimensional sandpile model which incorporates particle inertia. The inertial dynamics are governed by a new parameter which, as it passes through a threshold value, alters the toppling dynamics in such a way that the…

Condensed Matter · Physics 2009-10-28 D. A. Head , G. J. Rodgers

We study two driven dynamical systems with conserved energy. The two automata contain the basic dynamical rules of the Bak, Tang and Wiesenfeld sandpile model. In addition a global constraint on the energy contained in the lattice is…

Statistical Mechanics · Physics 2009-10-30 Alessandro Chessa , Enzo Marinari , Alessandro Vespignani

The coupling of branching-annihilating random walks to a static field with a local conservation law is shown to change the scaling properties of their phase transitions to absorbing states. In particular, we find that DP-class transitions…

Statistical Mechanics · Physics 2007-05-23 Julien Kockelkoren , Hugues Chaté

We construct and analyse a simple {\em reduced} model to study the effects of the interplay between a density undergoing an active-to-absorbing state phase transition (AAPT) and a fluctuating environment in the form of a broken symmetry…

Statistical Mechanics · Physics 2014-08-26 Niladri Sarkar , Abhik Basu

We study a recently introduced ladder model which undergoes a transition between an active and an infinitely degenerate absorbing phase. In some cases the critical behaviour of the model is the same as that of the branching annihilating…

Statistical Mechanics · Physics 2009-11-07 A. Lipowski , M. Droz

We investigate the scaling properties of phase transitions between survival and extinction (active-to-absorbing state phase transition, AAPT) in a model, that by itself belongs to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2012-08-22 Niladri Sarkar , Abhik Basu