The REM zeros in the complex temperature and magnetic field planes

C. Moukarzel and N. Parga

Physica A: Statistical Mechanics and its Applications, 1992, vol. 185, issue 1, 305-315

Abstract: The distribution of zeros of the partition function of the random energy model is described both for the complex temperature and magnetic field planes. There are regions where these zeros become dense. It is shown that for T < Tc a dense region of zeros reaches the real magnetic field axis as the thermodynamic limit is taken. For a fixed sample this manifests itself as jumps in the equilibrium magnetization M, whose position is correlated with the closest zeros.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:185:y:1992:i:1:p:305-315

DOI: 10.1016/0378-4371(92)90469-7

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