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Diffusion on an Ising chain with kinks

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 نشر من قبل Simone Severini
 تاريخ النشر 2009
  مجال البحث فيزياء
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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.



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