Generic Two-Phase Coexistence and Nonequilibrium Criticality in a Lattice Version of Schlogl's Second Model for Autocatalysis
|Title||Generic Two-Phase Coexistence and Nonequilibrium Criticality in a Lattice Version of Schlogl's Second Model for Autocatalysis|
|Publication Type||Journal Article|
|Year of Publication||2009|
|Journal Title||Journal of Statistical Physics|
|Keywords||behavior, clusters, critical-point, desorption, generic phase coexistence, ising universality class, nonequilibrium phase transition, percolation, percolation transitions, phase-transitions, surface-reaction model, systems|
A two-dimensional atomistic realization of Schlogl's second model for autocatalysis is implemented and studied on a square lattice as a prototypical nonequilibrium model with first-order transition. The model has no explicit symmetry and its phase transition can be viewed as the nonequilibrium counterpart of liquid-vapor phase separations. We show some familiar concepts from study of equilibrium systems need to be modified. Most importantly, phase coexistence can be a generic feature of the model, occurring over a finite region of the parameter space. The first-order transition becomes continuous as a temperature-like variable increases. The associated critical behavior is studied through Monte Carlo simulations and shown to be in the two-dimensional Ising universality class. However, some common expectations regarding finite-size corrections and fractal properties of geometric clusters for equilibrium systems seems to be inapplicable.
|URL||<Go to ISI>://000265384600004|