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Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jun;73(6):062101. doi: 10.1103/PhysRevE.73.062101. Epub 2006 Jun 19.

Glauber model in a quantum representation.

Physical review. E, Statistical, nonlinear, and soft matter physics

Thomas Michael, Steffen Trimper, Michael Schulz

Affiliations

  1. Fachbereich Physik, Martin-Luther-Universität, D-06099 Halle, Germany.

PMID: 16906884 DOI: 10.1103/PhysRevE.73.062101

Abstract

The Glauber model is reconsidered based on a quantum formulation of the master equation. Unlike the conventional approach the temperature and the Ising energy are included from the beginning by introducing a Heisenberg-like picture of the second quantized operators. This method enables us to get an exact expression for the transition rate of a single flip process w(i)(sigma(i)) which is in accordance with the principle of detailed balance. The transition rate differs significantly from the conventional one due to Glauber in the low-temperature regime. Here the behavior is controlled by the Ising energy and not by the microscopic time scale.

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