Physics and Astronomy
Mathematics and Natural Sciences
Computer simulations are performed to study the motion of the front and the growth of the interface width in a model of fluid flow driven by a biased field in 2+1 dimensions. The initial motion of the front is diffusive, which is followed by a nondiffusive power-law behavior in the long-time regime; the power-law exponent is nonuniversal, varying with the strength of the driven field. The growth of the interface width saturates in the asymptotic time regime. The saturated width W scales with both the driven field B as well as the transverse length L of the sample, leading to a two-parameter scaling W∼L2αBm, where α=1.25 and m=0.17.
Physical Review E
Leaseburg, M. J.,
Pandey, R. B.
(1994). Driven Front and Interface of a Fluid-Flow Model in 2+1-Dimensions. Physical Review E, 50(5), 3730-3736.
Available at: https://aquila.usm.edu/fac_pubs/6606