Random energy model at complex temperatures

DB Saakian

Type: Article

Publication Date: 2000-06-01

Citations: 7

DOI: https://doi.org/10.1103/physreve.61.6132

Abstract

The complete phase diagram of the random energy model is obtained for complex temperatures using the method proposed by Derrida. We find the density of zeroes for the statistical sum. Then the method is applied to the generalized random energy model. This allowed us to propose an analytical method for investigating zeroes of the statistical sum for finite-dimensional systems.

Locations

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics - View
arXiv (Cornell University) - View - PDF
PubMed - View
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+ PDF Chat	The zeroes of the partition function of the random energy model	1991	Bernard Derrida
+	Distribution of zeros in Ising and gauge models	1983	C. Itzykson Robert B. Pearson Jean-Bernard Zuber
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+	Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model	1952	T. D. Lee Chongming Yang
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+	Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet	1969	Robert B. Griffiths
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+ PDF Chat	Singularities at a dense set of temperature singularities in the Husimi tree	1998	A. E. Alahverdian N. S. Ananikian S. K. Dallakian