Universality classes in nonequilibrium lattice systems

G Ódor - Reviews of modern physics, 2004 - APS
This article reviews our present knowledge of universality classes in nonequilibrium systems
defined on regular lattices. The first section presents the most important critical exponents …

Universal scaling behavior of non-equilibrium phase transitions

S Lübeck - International Journal of Modern Physics B, 2004 - World Scientific
Non-equilibrium critical phenomena have attracted a lot of research interest in the recent
decades. Similar to equilibrium critical phenomena, the concept of universality remains the …

[图书][B] Non-equilibrium phase transitions

M Henkel - 2008 - Springer
“The career structure and funding of the universities [...] currently strongly discourages
academics and faculties from putting any investment into teaching–there are no career or …

[图书][B] Universality in nonequilibrium lattice systems: theoretical foundations

G Ódor - 2008 - books.google.com
Universal scaling behavior is an attractive feature in statistical physics because a wide
range of models can be classified purely in terms of their collective behavior due to a …

Non-equilibrium phase transitions

H Hinrichsen - Physica A: Statistical Mechanics and its Applications, 2006 - Elsevier
These lecture notes give a basic introduction to the physics of phase transitions under non-
equilibrium conditions. The notes start with a general introduction to non-equilibrium …

The non-equilibrium phase transition of the pair-contact process with diffusion

M Henkel, H Hinrichsen - Journal of Physics A: Mathematical and …, 2004 - iopscience.iop.org
The pair-contact process 2A→ 3A, 2A→∅ with diffusion of individual particles is a simple
branching-annihilation process which exhibits a phase transition from an active to an …

Machine learning of pair-contact process with diffusion

J Shen, W Li, S Deng, D Xu, S Chen, F Liu - Scientific Reports, 2022 - nature.com
The pair-contact process with diffusion (PCPD), a generalized model of the ordinary pair-
contact process (PCP) without diffusion, exhibits a continuous absorbing phase transition …

Heterogeneous excitable systems exhibit Griffiths phases below hybrid phase transitions

G Ódor, B de Simoni - Physical Review Research, 2021 - APS
In d> 2 dimensional, homogeneous threshold models discontinuous transition occur, but the
mean-field solution provides 1/t power-law activity decay and other power laws, and thus it is …

Classification of phase transitions in reaction-diffusion models

V Elgart, A Kamenev - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
Equilibrium phase transitions are associated with rearrangements of minima of a
(Lagrangian) potential. Treatment of nonequilibrium systems requires doubling of degrees of …

Universality class of absorbing transitions with continuously varying critical exponents

JD Noh, H Park - Physical Review E, 2004 - APS
The well-established universality classes of absorbing critical phenomena are directed
percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with …