A fluctuating lattice Boltzmann scheme for the one-dimensional KPZ equation

Based on the well-known mapping between the Burgers equation with noise and the Kardar–Parisi–Zhang (KPZ) equation for fluctuating interfaces, we develop a fluctuating lattice Boltzmann (LB) scheme for growth phenomena, as described by the KPZ formalism. A very simple LB-KPZ scheme is demonstrated in 1+1 spacetime dimensions, and is shown to reproduce the scaling exponents characterizing the growth of one-dimensional fluctuating interfaces.

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Year of publication:	2012
Authors:	Yermakou, Vadzim ; Succi, Sauro
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 20, p. 4557-4563
Publisher:	Elsevier
Subject:	Fluctuating interfaces \| Lattice Boltzmann fluids \| KPZ equation \| Growth phenomena \| Burgers fluids

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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