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

Mohammad Khorrami·Amir Aghamohammadi
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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.

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Mohammad Khorrami, Amir Aghamohammadi. 2001-03-04. Dynamical phase transition of a one-dimensional kinetic Ising model with boundaries. https://doi.org/10.1103/physreve.65.056129

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