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Diffusion on an Ising chain with kinks

Hamma, A; Mansour, T; Severini, S; (2009) Diffusion on an Ising chain with kinks. PHYS LETT A , 373 (31) 2622 - 2628. 10.1016/j.physleta.2009.05.056.

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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. (C) 2009 Elsevier B.V. All rights reserved.

Type: Article
Title: Diffusion on an Ising chain with kinks
DOI: 10.1016/j.physleta.2009.05.056
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/404684
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