Diffusion and Scattering of Shocks in the Partially Asymmetric Simple Exclusion Process

@inproceedings{BelitskyDiffusionAS,
  title={Diffusion and Scattering of Shocks in the Partially Asymmetric Simple Exclusion Process},
  author={Victor Belitsky and Gunter M. Sch{\"u}tz}
}
We study the behavior of shocks in the asymmetric simple exclusion process on Z whose initial distribution is a product measure with a finite number of shocks. We prove that if the particle hopping rates of this process are in a particular relation with the densities of the initial measure then the distribution of this process at any time t ≥ 0 is a linear combination of shock measures of the structure similar to that of the initial distribution. The structure of this linear combination allows… CONTINUE READING