The asymmetric simple exclusion model with multiple shocks
The asymmetric simple exclusion model with multiple shocks
We consider the one dimensional totally asymmetric simple exclusion process with initial product distribution with densities $0 \leq \rho_0 < \rho_1 <...< \rho_n \leq 1$ in $(-\infty,c_1\ve^{-1})$, $[c_1\ve^{-1},c_2\epsilon^{-1}),...,[c_n \ve^{-1}, + \infty)$, respectively. The initial distribution has shocks (discontinuities) at $\epsilon^{-1}c_k$, k=1,...,n and we assume that in the corresponding macroscopic Burgers …