• Corpus ID: 126141284

Critical Phenomena in Nonequilibrium Systems

  title={Critical Phenomena in Nonequilibrium Systems},
  author={Haye Hinrichsen},
This review addresses recent developments in nonequilibrium statistical physics. Focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed percolation is investigated in detail. The survey gives a general introduction to various lattice models of directed percolation and studies their scaling properties, fieldtheoretic aspects, numerical techniques, as well as possible experimental realizations. In addition, several examples of absorbing… 
Some Aspects on Dynamics of Nonequilibrium Systems: Metastability, Avalanches, Phase Separation, Absorbing States and Heat Conduction
In this thesis I study the dynamics of some nonequilibrium systems, using both computer simulations and theoretical tools. In particular, the following topics are studied: (i) metastability in a
Systems with superabsorbing states
  • HurtadoMuñoz
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
Supporting this claim, two strong evidences are presented: in one dimension, where superabsorbing sites do not appear at the critical point, the system behaves as directed percolation, and in a modified two-dimensional variation of the model, defined on a honeycomb lattice, for which super absorption sites are very rarely observed, directed perColation behavior is recovered.
Numerical study of persistence in models with absorbing states.
A striking apparent superuniversality is reported: the local persistence exponent seems to coincide in both one- and two-dimensional systems.
Aging logarithmic conformal field theory: a holographic view
A bstractWe consider logarithmic extensions of the correlation and response functions of scalar operators for the systems with aging as well as Schrödinger symmetry. Aging is known to be the simplest
On the “Matrix Approach” to Interacting Particle Systems
The algebraic relations obtained are analyzed to show that the matrix approach does not work with some models such as the voter and the contact processes.
Autonomous models solvable through the full interval method
Abstract The most general exclusion single species one dimensional reaction-diffusion models with nearest-neighbor interactions which are both autonomous and can be solved exactly through full
Ju l 2 00 6 On the “ Matrix Approach ” to Interacting Particle Systems
The algebraic relations obtained are analyzed to show that the matrix approach does not work with some models such as the voter and the contact processes.
The Damage Spreading Method in Monte Carlo Simulations: A brief overview and applications to confined magnetic materials
In this paper we first give a brief overview of Monte Carlo simulation results obtained by applying the Damage Spreading method. We analyse the transition between a state where the damage becomes


Theory of Branching and Annihilating Random Walks.
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.
Phase Structure of Systems with Infinite Numbers of Absorbing States
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
Numerical analysis of a Langevin equation for systems with infinite absorbing states
One-dimensional systems with an infinite number of absorbing states exhibit a phase transition that is not fully understood yet. Their static critical exponents are universal and belong in the
Paths to self-organized criticality
We present a pedagogical introduction to self-organized criticality (SOC), unraveling its connections with nonequilibrium phase transitions. There are several paths from a conventional critical point
I study the critical behavior of a two-dimensional dimer-trimer lattice model, introduced by Kohler and ben-Avraham,17a for heterogeneous catalysis of the reaction ½A2 + ⅓B3 → AB. The model possesses
Critical phenomena in nonequilibrium phase transitions
We discuss a number of models associated with phase transitions in purely kinetic models where detailed balance does not hold as in thermal equilibrium systems. These models include some of the
Time-dependent perturbation theory for nonequilibrium lattice models
We develop a time-dependent perturbation theory for nonequilibrium interacting particle systems. We focus on models such as the contact process which evolve via destruction and autocatalytic creation
Smooth phases, roughening transitions, and novel exponents in one-dimensional growth models
A class of solid-on-solid growth models with short range interactions and sequential updates is studied. The models exhibit both smooth and rough phases in dimension d=1. Some of the features of the
Nonequilibrium critical behavior in unidirectionally coupled stochastic processes.
The theory is connected to specific classes of growth processes and to certain cellular automata, and the above ideas are also applied to unidirectionally coupled pair annihilation processes.
Phase transitions and critical phenomena
  • D. Landau
  • Physics
    Computing in Science & Engineering
  • 1999
The examination of phase transitions and critical phenomena has dominated statistical physics for the latter half of this century--there is a great theoretical challenge in solving special