Directed percolation in two and three dimensions. II. direction dependence of the wetting velocity

Dhar, D. (1982) Directed percolation in two and three dimensions. II. direction dependence of the wetting velocity Journal of Physics A: Mathematical and General, 15 (6). pp. 1859-1864. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/15/6/026

Related URL: http://dx.doi.org/10.1088/0305-4470/15/6/0268

Abstract

For pt.I see ibid., vol.15, no.6, p.1849-58 (1982). Studies the behaviour of the average velocity of fluid flow in a random network made of oriented diodes and resistors, as a function of the direction of the fluid flow and the concentration of resistors. It is shown that there is more than one critical value of the concentration across which there is a qualitative change in the behaviour of the wetting velocity. Also, it is shown that the directed percolation problem is related to the problem of determining the direction-dependent wetting velocity in the undirected percolation problem.

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