We consider the asymmetric simple exclusion process (ASEP) on Z. For continuous densities, ASEP is in local equilibrium for large times, at discontinuities however, one expects to see a dynamical phase transition, i.e. mixture of different equilibriums. with deterministic initial data such that two rarefactions come together origin, and density jumps from 0 1. Shifting measure KPZ 1∕3 scale, we...