Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries

Abstract

The Glauber model on a one-dimensional lattice with boundaries (for the ferromagnetic- and anti-ferromagnetic case) is considered. The large-time behaviour of the one-point function is studied. It is shown that, for any positive temperature, the system shows a dynamical phase transition. The dynamical phase transition is controlled by the rate of spin flip at the boundaries, and is a discontiuous change of the derivative of the relaxation time towards the stationary configuration.

LaTeX2e, 10 pages

References in corpus (2)

• On the solvable multi-species reaction-diffusion processes
• Phase transitions in autonomous reaction-diffusion systems on a one-dimensional lattice with boundaries

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• Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models