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.
|Number of pages||7|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - 20 Jul 2009|
ASJC Scopus subject areas
- Physics and Astronomy (all)