Random Energy Model at Complex Temperatures
Disordered Systems and Neural Networks
2009-10-31 v1 Statistical Mechanics
Abstract
The complete phase diagram of Random Energy Model (REM) is obtained for complex temperatures using the method proposed by Derrida. We find the density of zeroes for statistical sum. Then the method is applied to Generalized Random Energy Model (GREM). This allows us to propose new analytical method for investigating zeroes of statistical sum for finite-dimensional systems.
Keywords
Cite
@article{arxiv.cond-mat/9905123,
title = {Random Energy Model at Complex Temperatures},
author = {D. B. Saakian},
journal= {arXiv preprint arXiv:cond-mat/9905123},
year = {2009}
}
Comments
8 pages, latex