DUALITY IN ONE DIMENSIONAL TRANSPORT: BOUNDARY LAYER APPROACH

摘要

We discuss the duality between the bulk phase transition and a boundary transition in nonequilibrium asymmetric exclusion process. By using a continuum description, it is shown that the bulk phase transitions can be understood as a decon-finement of a boundary layer, to be called the shockening transition. The duality gives the nature of the phase diagram and the exponents, especially near critical points for shock formation. This is also applied in an interacting model to study the nature of a nonequilibrium tricritical point.