Two Combinatorial Models with identical Statics yet different Dynamics

Details Two Combinatorial Models with identical Statics yet different Dynamics Two Combinatorial Models with identical Statics yet different Dynamics

2003-10-30

arxiv.org/abs/cond-mat/0310743v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 11 figures

Scientific paper

10.1088/0305-4470/37/4/003

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 are 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.

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