Statistical mechanics of multi-index matching problems with site disorder

Dean, D.S. and Lancaster, D.J. 2006. Statistical mechanics of multi-index matching problems with site disorder. Physical Review E. 74 (4), p. 041122. https://doi.org/10.1103/PhysRevE.74.041122

TitleStatistical mechanics of multi-index matching problems with site disorder
AuthorsDean, D.S. and Lancaster, D.J.
Abstract

We study the statistical mechanics of multi-index matching problems where the quenched disorder is a geometric site disorder rather than a link disorder. A recently developed functional formalism is exploited that yields exact results in the finite-temperature thermodynamic limit. Particular attention is paid to the zero-temperature limit of maximal matching problems where the method allows us to obtain the average value of the optimal match and also sheds light on the algorithmic heuristics leading to that optimal match.

JournalPhysical Review E
Journal citation74 (4), p. 041122
ISSN1539-3755
YearOct 2006
Digital Object Identifier (DOI)https://doi.org/10.1103/PhysRevE.74.041122
Publication dates
PublishedOct 2006
File

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