Exact result vs. dynamic renormalization group analysis for the non-local Kardar–Parisi–Zhang equation

Eytan Katzav

Physica A: Statistical Mechanics and its Applications, 2002, vol. 309, issue 1, 79-84

Abstract: In this paper I discuss a generalization of the well-known Kardar–Parisi–Zhang (KPZ) equation that includes long-range interactions. This Non-local Kardar–Parisi–Zhang (NKPZ) equation has been suggested in the past to describe physical phenomena such as burning paper or deposition of colloids. I show that the steady state strong coupling solution for a subfamily of the NKPZ models can be solved exactly in one dimension, using the Fokker–Planck form of the equation, and yields a Gaussian distribution. This exact result does not agree with a previous result obtained by dynamic renormalization group (DRG) analysis. The reasons for this disagreement are not yet clear.

Keywords: KPZ equation; Nonlocal models; Exact result (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:309:y:2002:i:1:p:79-84

DOI: 10.1016/S0378-4371(02)00597-6

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