Diffusion on an Ising chain with kinks

Details Diffusion on an Ising chain with kinks Diffusion on an Ising chain with kinks

2008-06-30

arxiv.org/abs/0806.4812v2

Physics Letters A Volume 373, Issue 31, 20 July 2009, Pages 2622-2628

Mathematics

Combinatorics

9 pages, 2 LaTeX figures, macro packages qtree.sty and pict2e.sty

Scientific paper

We count the number of histories between the two degenerate minimum energy configurations of the Ising model on a chain, as a function of the length n and the number d of kinks that appear above the critical temperature. This is equivalent to count permutations of length n avoiding certain subsequences depending on d. We give explicit generating functions and compute the asymptotics. The setting considered has a role when describing dynamics induced by quantum Hamiltonians with deconfined quasi-particles.

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