The KMP heat transport process converges, in a t^{3/4} scaling window, to the multiplicative-noise stochastic heat equation (the exponential of KPZ) with noise coefficient 1/(2√α).
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Convergence of the KMP model to the KPZ equation
The KMP heat transport process converges, in a t^{3/4} scaling window, to the multiplicative-noise stochastic heat equation (the exponential of KPZ) with noise coefficient 1/(2√α).