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Two combinatorial models with identical statics yet different dynamics

Lancaster, David J. (2004) Two combinatorial models with identical statics yet different dynamics. Journal of Physics A: Mathematical and General, 37 (4). pp. 1125-1143. ISSN 0305-4470

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Official URL: http://dx.doi.org/10.1088/0305-4470/37/4/003

Abstract

Motivated by the problem of sorting, we introduce two simple combinatorial models with distinct Hamiltonians yet identical spectra (and hence partition function) and show that the local dynamics of these models is very different. After a deep quench, one model slowly relaxes to the sorted state whereas the other model becomes blocked by the presence of stable local minima.

Item Type:Article
Additional Information:Online ISSN 1361-6447
Research Community:University of Westminster > Electronics and Computer Science, School of
ID Code:2195
Deposited On:27 Jun 2006
Last Modified:19 Oct 2009 15:01

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