具有扭结的Ising链上的扩散
Diffusion on an Ising chain with kinks
摘要：
我们计算了链上伊辛模型的两个简并最小能量构型之间的历史数，作为长度n和出现在临界温度以上的扭结数d的函数。这相当于对长度为n的排列进行计数，避免了依赖于d的某些连续性。我们给出明确的生成函数和计算渐近。考虑的设置有一个作用时，描述量子哈密顿与decenfined准粒子引起的动力学。
英文摘要：
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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