PMID: 11308627Apr 20, 2001Paper

Numerical study of persistence in models with absorbing states

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E V Albano, M A Munoz

Abstract

Extensive Monte Carlo simulations are performed in order to evaluate both the local (straight theta(l)) and global (straight theta(g)) persistence exponents in the Ziff-Gulari-Barshad (ZGB) [Phys. Rev. Lett. 56, 2553 (1986)] irreversible reaction model. At the second-order irreversible phase transition (IPT) we find that both the local and the global persistence exhibit power-law behavior with a crossover between two different time regimes. On the other hand, at the ZGB first-order IPT, active sites are short lived and the persistence decays more abruptly; it is not clear whether it shows power-law behavior or not. In order to analyze universality issues, we have also studied another model with absorbing states, the contact process, and evaluated the local persistence exponent in dimensions from 1 to 4. A striking apparent superuniversality is reported: the local persistence exponent seems to coincide in both one- and two-dimensional systems. Some other aspects of persistence in systems with absorbing states are also analyzed.

References

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Citations

Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kazumasa A TakeuchiMasaki Sano
Oct 24, 2019·Physical Review. E·Nitesh D Shambharkar, Prashant M Gade
Aug 17, 2020·Physical Review. E·Róbert Juhász, István A Kovács
May 17, 2017·Physical Review. E·H A FernandesJ R Drugowich de Felício
Aug 9, 2003·Physical Review Letters·Satya N Majumdar, Alan J Bray
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E K O Hellén, M J Alava
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H A Fernandes, J R Drugowich de Felício

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