A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.
Spohn, ”Nonlinear fluctuating hydrodynamics for anharmonic chains,” Journal of Statistical Physics 154, 1191-1227 (2014)
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Description of KPZ interface growth by stochastic Loewner evolution
A specific KPZ height function is shown to match a stochastic Loewner equation whose entropy scales as negative log of time over kappa.