https://doi.org/10.1140/epjb/e20020068
Persistence distributions in a conserved lattice gas with absorbing states
Theoretische Tieftemperaturphysik,
Gerhard-Mercator-Universität Duisburg,
Lotharstr. 1, 47048 Duisburg, Germany
Corresponding author: a sven@thp.uni-duisburg.de
Received:
27
August
2001
Revised:
15
November
2001
Published online: 15 March 2002
Extensive simulations are performed to study the persistence behavior of a conserved lattice gas model exhibiting an absorbing phase transition from an active phase into an inactive phase. Both the global and the local persistence exponents are determined in two and higher dimensions. The local persistence exponent obeys a scaling relation involving the order parameter exponent of the absorbing phase transition. Furthermore we observe that the global persistence exponent exceeds its local counterpart in all dimensions in contrast to the known persistence behavior in reversible phase transitions.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 05.65.+b – Self-organized systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002