Connecting the microdynamics to the emergent macrovariables: self-organized criticality and absorbing phase transitions in the Deterministic Lattice Gas.
File(s)Physical Review E_85_1_2012.pdf (1.17 MB)
Accepted version
Author(s)
Giometto, A
Jensen, HJ
Type
Journal Article
Abstract
We reinvestigate the Deterministic Lattice Gas introduced as a paradigmatic model of the 1/f spectra [Phys. Rev. Lett. 64, 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 that 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.
Date Issued
2012-01-18
Start Page
011128
Journal / Book Title
Phys Rev E Stat Nonlin Soft Matter Phys
Volume
85
Issue
1 Pt 1
Copyright Statement
© 2012 American Physical Society. Connecting the microdynamics to the emergent macrovariables: Self-organized criticality and absorbing phase transitions in the deterministic lattice gas. Phys. Rev. E 85, 011128 – Published 18 January 2012
Identifier
http://www.ncbi.nlm.nih.gov/pubmed/22400533
Coverage Spatial
United States