Diffusion on an Ising chain with kinks

Alioscia Hamma; Toufik Mansour; Simone Severini

doi:10.1016/j.physleta.2009.05.056

Diffusion on an Ising chain with kinks

Alioscia Hamma, Toufik Mansour, Simone Severini

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2622-2628
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	31
DOIs	https://doi.org/10.1016/j.physleta.2009.05.056
State	Published - 20 Jul 2009

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2009.05.056

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abstract = "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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AB - 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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ER -

Diffusion on an Ising chain with kinks

Abstract

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