solidot新版网站常见问题,请点击这里查看。

A probabilistic model for interfaces in a martensitic phase transition. (arXiv:1810.04380v1 [math.PR])

来源于:arXiv
We analyse features of the patterns formed from a simple model for a martensitic phase transition. This is a fragmentation model that can be encoded by a general branching random walk. An important quantity is the distribution of the lengths of the interfaces in the pattern and we establish limit theorems for some of the asymptotics of the interface profile. We are also able to use a general branching process to show almost sure power law decay of the number of interfaces of at least a certain size. We discuss the numerical aspects of determining the behaviour of the density profile and power laws from simulations of the model. 查看全文>>