A fluctuating lattice Boltzmann scheme for the one-dimensional KPZ equation |
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| Authors: | Vadzim Yermakou Sauro Succi |
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| Institution: | Istituto Applicazioni Calcolo, CNR, via dei Taurini 19, 00185, Roma, Italy |
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| 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. |
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| Keywords: | Fluctuating interfaces Lattice Boltzmann fluids KPZ equation Growth phenomena Burgers fluids |
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