Roberto A Monetti and Ezequiel V Albano 2001 J. Phys. A: Math. Gen. 34 1103 doi:10.1088/0305-4470/34/6/303
Roberto A Monetti and Ezequiel V Albano
Show affiliationsThe first-order irreversible phase transition (IPT) characteristic of the Ziff-Gulari-Barshad (ZGB) model is studied by means of extensive numerical simulations. Using the constant-coverage method it is found that hysteresis effects hinder the location of the coexistence point. However, the hysteresis loop is unstable against a negligible small external perturbation, allowing the determination of the coexistence point quite accurately. Also, by means of epidemic studies, an existing controversy on the occurrence of scale invariance in the dynamical behaviour of the system at coexistence is resolved. Our findings reconcile the behaviour of the first-order IPTs of the ZGB model with their reversible counterparts.
05.70.Ln Nonequilibrium and irreversible thermodynamics
82C26 Dynamic and nonequilibrium phase transitions (general)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) (See also 60H10)
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
Issue 6 (16 February 2001)
Received 17 October 2000
Roberto A Monetti and Ezequiel V Albano 2001 J. Phys. A: Math. Gen. 34 1103
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