✦ LIBER ✦

The REM zeros in the complex temperature and magnetic field planes

✍ Scribed by C. Moukarzel; N. Parga

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 463 KB
Volume: 185
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(92)90469-7

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✦ Synopsis

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 < T c 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.

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