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Phys. Rev. E 76, 045701(R) (2007) [4 pages]

Efficient parallel tempering for first-order phase transitions

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T. Neuhaus1,2,*, M. P. Magiera3,†, and U. H. E. Hansmann1,‡
1John von Neumann Institute for Computing, Forschungszentrum Jülich, 52425 Jülich, Germany
2Institute für Physik, Johannes Gutenberg Universität Mainz, Mainz, Germany
3Department of Physics, Theoretical Physics, University Duisburg-Essen, 47048 Duisburg, Germany

Received 25 April 2007; revised 16 August 2007; published 9 October 2007

We present a Monte Carlo algorithm that facilitates efficient parallel tempering simulations of the density of states g(E). We show that the algorithm eliminates the supercritical slowing down in the case of the Q=20 and Q=256 Potts models in two dimensions, typical examples for systems with extreme first-order phase transitions. As recently predicted, and shown here, the microcanonical heat capacity along the calorimetric curve has negative values for finite systems.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.76.045701
DOI:
10.1103/PhysRevE.76.045701
PACS:
02.70.Rr, 64.60.Cn, 05.50.+q

*t.neuhaus@fz-juelich.de

†m.magiera@uni-duisburg.de

‡u.hansmann@fz-juelich.de

 
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