Moment ratios for absorbing-state phase transitions
TLDR
In this paper, the first through fourth moments of the order parameter, and various ratios, for several one-and two-dimensional models with absorbing-state phase transitions were determined, and a detailed analysis of the system-size dependence of these ratios was performed.Abstract:
We determine the first through fourth moments of the order parameter, and various ratios, for several one- and two-dimensional models with absorbing-state phase transitions. We perform a detailed analysis of the system-size dependence of these ratios and confirm that they are indeed universal for three models, the contact process, the $A$ model, and the pair contact process, belonging to the directed percolation universality class. Our studies also yield a refined estimate for the critical point of the pair contact process.read more
Citations
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Non-equilibrium critical phenomena and phase transitions into absorbing states
TL;DR: In this article, a review of recent developments in non-equilibrium statistical physics is presented, focusing on phase transitions from fluctuating phases into absorbing states, the universality class of directed percolation is investigated in detail.
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Universality classes in nonequilibrium lattice systems
TL;DR: In this article, the authors present a review of universality classes in nonequilibrium systems defined on regular lattices and discuss the most important critical exponents and relations, as well as the field-theoretical formalism used in the text.
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Non-equilibrium phase transitions
TL;DR: In this paper, a basic introduction to the physics of phase transitions under non-equilibrium conditions is given, followed by a general introduction to nonequilibrium statistical mechanics followed by four parts.
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Universal scaling behavior of non-equilibrium phase transitions
TL;DR: In this paper, a particular class of non-equilibrium critical phenomena is considered, the so-called absorbing phase transitions, and the effect of an external field conjugated to the order parameter is investigated.
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How to simulate the quasistationary state.
TL;DR: A practical simulation method for studying quasistationary properties, based on the equation of motion governing the QS distribution, is proposed and shown to reproduce exact results and known scaling behavior to high precision.
References
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Interacting Particle Systems
TL;DR: The construction, and other general results are given in this paper, with values in [0, ] s. The voter model, the contact process, the nearest-particle system, and the exclusion process.
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Scaling and Renormalization in Statistical Physics
TL;DR: In this article, the authors provide a thoroughly modern graduate-level introduction to the theory of critical behavior, including phase diagrams, fixed points, cross-over behavior, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry.