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Connecting the microdynamics to the emergent macrovariables: self-organized criticality and absorbing phase transitions in the Deterministic Lattice Gas
- Source :
- Physical review. E, Statistical, nonlinear, and soft matter physics. 85(1 Pt 1)
- Publication Year :
- 2011
-
Abstract
- We reinvestigate the Deterministic Lattice Gas introduced as a paradigmatic model of the 1/f spectra (Phys. Rev. Lett. V26, 3103 (1990)) arising according to the Self-Organized Criticality scenario. We demonstrate that the density fluctuations exhibit an unexpected dependence on systems size and relate the finding to effective Langevin equations. The low density behavior is controlled by the critical properties of the gas at the absorbing state phase transition. We also show that the Deterministic Lattice Gas is in the Manna universality class of absorbing state phase transitions. This is in contrast to expectations in the literature which suggested that the entirely deterministic nature of the dynamics would put the model in a different universality class. To our knowledge this is the first fully deterministic member of the Manna universality class.<br />8 pages, 12 figures. Changes in the new version: Reference list has been corrected
- Subjects :
- Physics
Models, Molecular
Phase transition
Statistical Mechanics (cond-mat.stat-mech)
FOS: Physical sciences
Mathematical Physics (math-ph)
Renormalization group
Self-organized criticality
Spectral line
Phase Transition
Absorption
Criticality
Models, Chemical
Lattice (order)
Thermodynamics
Computer Simulation
Statistical physics
Gases
Crystallization
Condensed Matter - Statistical Mechanics
Mathematical Physics
Subjects
Details
- ISSN :
- 15502376
- Volume :
- 85
- Issue :
- 1 Pt 1
- Database :
- OpenAIRE
- Journal :
- Physical review. E, Statistical, nonlinear, and soft matter physics
- Accession number :
- edsair.doi.dedup.....e969161cda7eaa147013395f5345aabd