Diffusion on an Ising chain with kinks

Alioscia Hamma, Toufik Mansour, Simone Severini

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)2622-2628
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number31
StatePublished - 20 Jul 2009

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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