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

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

2001-03-04

arxiv.org/abs/cond-mat/0103090v1

Phys. Rev. E65 (2002) 056129

Physics

Condensed Matter

Statistical Mechanics

LaTeX2e, 10 pages

Scientific paper

10.1103/PhysRevE.65.056129

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.

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