The statistical mechanics of multi-index matching problems with site disorder

Details The statistical mechanics of multi-index matching problems with site disorder The statistical mechanics of multi-index matching problems with site disorder

2006-07-03

arxiv.org/abs/cond-mat/0607030v1

Phys. Rev. E 74, 041122 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages 11 figures, RevTex

Scientific paper

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 which 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

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