| Statistical mechanics of combinatorial optimization problems with site disorder. | |
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MedLine Citation:
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PMID: 16196662 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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We study the statistical mechanics of a class of problems whose phase space is the set of permutations of an ensemble of quenched random positions. Specific examples analyzed are the finite-temperature traveling salesman problem on several different domains and various problems in one dimension such as the so-called descent problem. We first motivate our method by analyzing these problems using the annealed approximation. Then in the limit of a large number of points we develop a formalism to carry out the quenched calculation. This formalism does not require the replica method, and its predictions are found to agree with Monte Carlo simulations. In addition our method reproduces an exact mathematical result for the maximum traveling salesman problem in two dimensions and suggests its generalization to higher dimensions. The general approach may provide an alternative method to study certain systems with quenched disorder. |
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Authors:
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David S Dean; David Lancaster; Satya N Majumdar |
Publication Detail:
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Type: Journal Article Date: 2005-08-22 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 72 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2005 Aug |
Date Detail:
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Created Date: 2005-10-03 Completed Date: 2006-01-04 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 026125 Citation Subset: - |
Affiliation:
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Laboratoire de Physique Théorique, UMR CNRS 5152, IRSAMC, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 04, France. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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