Mixing times for the Swapping Algorithm on the Blume-Emery-Griffiths Model

M. Ebbers; H. Knöpfel; M. Löwe; F. Vermet

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arXiv · 1206.4162

Mixing times for the Swapping Algorithm on the Blume-Emery-Griffiths Model

M. Ebbers·H. Knöpfel·M. Löwe·F. Vermet

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Abstract

We analyze the so called Swapping Algorithm, a parallel version of the well-known Metropolis-Hastings algorithm, on the mean-field version of the Blume-Emery-Griffiths model in statistical mechanics. This model has two parameters and depending on their choice, the model exhibits either a first, or a second order phase transition. In agreement with a conjecture by Bhatnagar and Randall we find that the Swapping Algorithm mixes rapidly in presence of a second order phase transition, while becoming slow when the phase transition is first order.

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M. Ebbers, H. Knöpfel, M. Löwe, F. Vermet. 2012-06-19. Mixing times for the Swapping Algorithm on the Blume-Emery-Griffiths Model. https://arxiv.org/abs/1206.4162

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