Multiscale analysis of hierarchical landscapes

Autor:	R. Baviera, M. A. Virasoro
Rok vydání:	1997
Předmět:	Combinatorics Formalism (philosophy of mathematics) Hypersurface Replica Statistical and Nonlinear Physics Statistical physics Statistical mechanics Condensed Matter Physics Sketch Mathematics
Zdroj:	Physica D: Nonlinear Phenomena. 107:151-155
ISSN:	0167-2789
DOI:	10.1016/s0167-2789(97)00079-1
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0dc79f9fa460d8f578c771e02089e192 https://doi.org/10.1016/s0167-2789(97)00079-1 Zobrazit plný text záznamu Full Text from ScienceDirect