Limit Shapes of the Stochastic Six Vertex Model
Mathematical Physics
2016-09-08 v1 Statistical Mechanics
math.MP
Probability
Abstract
We show 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 of the cylinder goes to infinity the solution corresponding to critical initial densities coincides with the one found by Borodin, Corwin and Gorin.
Keywords
Cite
@article{arxiv.1609.01756,
title = {Limit Shapes of the Stochastic Six Vertex Model},
author = {Nicolai Reshetikhin and Ananth Sridhar},
journal= {arXiv preprint arXiv:1609.01756},
year = {2016}
}