Diffusion on an Ising chain with kinks

作者：Hamma Alioscia; Mansour Toufik^*; Severini Simone

来源：Physics Letters A, 2009, 373(31): 2622-2628.

DOI：10.1016/j.physleta.2009.05.056

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.

• 出版日期2009-7-20