The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Non-equilibrium critical phenomena and phase transitions into absorbing states
Open accessAbstract
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 percolation is investigated in detail. The survey gives a general introduction to various lattice models of directed percolation and studies their scaling properties, field-theoretic aspects, numerical techniques, as well as possible experimental realizations. In addition, several examples of absorbing-state transitions which do not belong to the directed percolation universality class will be discussed. As a closely related technique, we investigate the concept of damage spreading. It is shown that this technique is ambiguous to some extent, making it impossible to define chaotic and regular phases in stochastic non-equilibrium systems. Finally, we discuss various classes of depinning transitions in models for interface growth which are related to phase transitions into absorbing states.
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Cites
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Cited by
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Evolutionary dynamics of group interactions on structured populations: a review
Perc, M., Gómez-Gardeñes, J., Szolnoki, A., Floría, L. M., & Moreno, Y. (2013) · Journal of The Royal Society Interface · doi:10.1098/rsif.2012.0997 · Cited by 1,340
Universality classes in nonequilibrium lattice systems
Ódor, G. (2004) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.663 · Cited by 835
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Metadata
- Authors
- Hinrichsen, H.
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 2000-11
- Volume
- 49
- Issue
- 7
- Pages
- 815-958
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W2040232110
- Cited by
- 1,728
- References
- 5
- FWCI
- 43.42
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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