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.
Diffusion on an Ising chain with kinks / Hamma, A; Mansour, T; Severini, S. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 373:31(2009), pp. 2622-2628. [10.1016/j.physleta.2009.05.056]
Diffusion on an Ising chain with kinks
Hamma A;
2009
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. (C) 2009 Elsevier B.V. All rights reserved.| File | Dimensione | Formato | |
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