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

Vadzim Yermakou and Sauro Succi

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 20, 4557-4563

Abstract: 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.

Keywords: Fluctuating interfaces; Lattice Boltzmann fluids; KPZ equation; Growth phenomena; Burgers fluids (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:20:p:4557-4563

DOI: 10.1016/j.physa.2012.05.014

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