Strong-coupling behaviour in discrete Kardar - Parisi - Zhang equations
Strong-coupling behaviour in discrete Kardar - Parisi - Zhang equations
We present a systematic discretization scheme for the Kardar - Parisi - Zhang (KPZ) equation, which correctly captures the strong-coupling properties of the continuum model. In particular we show that the scheme contains no finite-time singularities in contrast to conventional schemes. The implications of these results to (i) previous numerical …