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Statistical mechanics of multi-index matching problems with site disorder

Dean, David S. and Lancaster, David J. (2006) Statistical mechanics of multi-index matching problems with site disorder. Physical Review E, 74 (4). 041122. ISSN 1539-3755


Official URL: http://dx.doi.org/10.1103/PhysRevE.74.041122


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.

Item Type:Article
Research Community:University of Westminster > Electronics and Computer Science, School of
ID Code:3632
Deposited On:05 Mar 2007
Last Modified:11 Aug 2010 15:31

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