Limit Shapes of the Stochastic Six Vertex Model
Limit Shapes of the Stochastic Six Vertex Model
复制标题
随机六顶点模型的极限形状
DOI：
10.1007/s00220-018-3253-2
复制
发表时间：
2016
影响因子：
2.4
通讯作者：
A. Sridhar
中科院分区：
文献类型：
--
作者：
N. Reshetikhin;A. Sridhar
证明了一端具有均匀边界状态的圆柱体上随机六顶点模型的极限形状是Burger型方程的解。研究了阶跃初始条件下这些方程的解。当周长趋于无穷大时，临界初始密度对应的解与Borodin、Corwin和Gorin发现的解一致。
It is shown that limit shapes for the stochastic 6-vertex model on a cylinder with the uniform boundary state on one end are solutions to the Burger type equation. Solutions to these equations are studied for step initial conditions. When the circumference goes to infinity the solution corresponding to critical initial densities coincides with the one found by Borodin, Corwin, and Gorin.