Universality classes in nonequilibrium lattice systems
@article{dor2004UniversalityCI,
title={Universality classes in nonequilibrium lattice systems},
author={G{\'e}za {\'O}dor},
journal={Reviews of Modern Physics},
year={2004},
volume={76},
pages={663-724}
}This work is designed to overview our present knowledge about universality classes occurring in nonequilibrium systems defined on regular lattices. In the first section I summarize the most important critical exponents, relations and the field theoretical formalism used in the text. In the second section I briefly address the question of scaling behavior at first order phase transitions. In section three I review dynamical extensions of basic static classes, show the effect of mixing dynamics…
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References
SHOWING 1-10 OF 739 REFERENCES
Theory of Branching and Annihilating Random Walks.
- PhysicsPhysical review letters
- 1996
A new universality class has been observed in d = 1 for even values of m, when the number of particles is locally conserved modulo 2, and another issue which clearly requires theoretical explanation is the occurrence of a transition at a finite value of σm.
Directed Percolation and Other Systems with Absorbing States
- Physics
- 2001
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.…
Phase Structure of Systems with Infinite Numbers of Absorbing States
- Physics
- 1998
Critical properties of systems exhibiting phase transitions into phases with infinite numbers of absorbing states are studied. We analyze a non-Markovian Langevin equation recently proposed to…
Phase transitions in one-dimensional nonequilibrium systems
- Physics
- 2000
The phenomenon of phase transitions in one-dimensional systems is discussed. Equilibrium systems are reviewed and some properties of an energy function which may allow phase transitions and phase…
Non-equilibrium critical phenomena and phase transitions into absorbing states
- Physics
- 2000
This review addresses recent developments in non-equilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed…
Critical phenomena of nonequilibrium dynamical systems with two absorbing states
- Physics
- 1998
We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit…
Scale Invariance and Dynamic Phase Transitions in Diffusion-Limited Reactions
- Physics
- 2003
Many systems that can be described in terms of diffusion-limited 'chem- ical' reactions display non-equilibrium continuous transitions separating active from inactive, absorbing states, where…
Phase Separation and Coarsening in One-Dimensional Driven Diffusive Systems: Local Dynamics Leading to Long-Range Hamiltonians
- Physics
- 1998
A driven system of three species of particles diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should…
Simple nonequilibrium extension of the Ising model.
- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1996
A simple nonequilibrium version of the Ising model, exhibiting an order-disorder phase transition, is introduced, and it is made that the model belongs in the equilibrium Isingmodel universality class confirming a well known conjecture.