Diffusion on an Ising chain with kinks
arXiv:0806.4812 · doi:10.1016/j.physleta.2009.05.056
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.
9 pages, 2 LaTeX figures, macro packages qtree.sty and pict2e.sty