Multiscale analysis of hierarchical landscapes

✍ Scribed by R. Baviera; M.A. Virasoro

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 248 KB
• Volume: 107
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00079-1

✦ Synopsis

The Statistical Mechanics calculation of the Gibbs-Boltzmann partition function does not give all the necessary information for a complete analysis of a rugged energy hypersurface. We show instead, that the partition function of a conveniently defined system composed of a number of replicas constrained to lie at specific distances provides such a description. We further sketch how the usual Replica formalism can be used to calculate these more complicated functions. As a by-product we show that in this way unstable solutions in the usual Replica method acquire a new meaning.