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arXiv · 0806.4812

Diffusion on an Ising chain with kinks

Alioscia Hamma·Toufik Mansour·Simone Severini
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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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Alioscia Hamma, Toufik Mansour, Simone Severini. 2009-07-28. Diffusion on an Ising chain with kinks. https://doi.org/10.1016/j.physleta.2009.05.056

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