Phase transition in an asymmetric generalization of the zero-temperature Glauber model

Abstract

An asymmetric generalization of the zero-temperature Glauber model on a lattice is introduced. The dynamics of the particle-density and specially the large-time behavior of the system is studied. It is shown that the system exhibits two kinds of phase transition, a static one and a dynamic one.

LaTeX, 9 pages, to appear in Phys. Rev. E (2001)

References in corpus (3)

• Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
• Multispecies reaction-diffusion systems
• Similarity transformation in one-dimensional reaction-diffusion systems; voting model as an example

Cited by in corpus (22)

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• Exactly solvable models through the empty interval method
• Phase transitions in systems possessing Shock solutions
• On the Relation between One-Species Diffusion-Limited Coalescence and Annihilation in One Dimension
• Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries
• Multi shocks in Reaction-diffusion models
• Phase transition in an asymmetric generalization of the zero-temperature q-state Potts model
• Particle current fluctuations in a variant of asymmetric Glauber model
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• Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models
• Effective dynamics in an asymmetric death-branching process
• One-dimensional kinetic Ising model with nonuniform coupling constants
• Multi-species reaction-diffusion models admitting shock solutions
• Nonuniform autonomous one-dimensional exclusion nearest neighbor reaction diffusion models, II
• Relaxation time in a non-conserving driven-diffusive system with parallel dynamics