The Scaling Limit of the KPZ Equation in Space Dimension 3 and Higher
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DOI: 10.1007/s10955-018-2014-0
Abstract: We study in the present article the Kardar–Parisi–Zhang (KPZ) equation $$\begin{aligned} \partial _t h(t,x)=\nu \Delta h(t,x)+\lambda |\nabla h(t,x)|^2 +\sqrt{D}\, \eta (t,x), \qquad (t,x)\in \mathbb {R}_+\times \mathbb {R}^d \end{aligned}$$∂th(t,x)=νΔh(t,x)+λ|∇h(t,x)|2+Dη(t,x),(t,x)∈R+×Rdin $$d\ge 3$$d≥3 dimensions in the perturbative regime,… read more here.
Keywords: lambda; space; scaling limit; kpz equation ... See more keywords