An arbitrary control volume within the computational domain.
Evolution of the normalized probability density function for particle -coordinates on the surface and is the initial uniform probability density for the particles at . The four different curves correspond to the moments in time (curve 1), 600 ns (curve 2), 1000 ns (curve 3), and 2000 ns (curve 4). The other parameters are , , , , , , and . Particles are seen to migrate toward the cold region centered at , and are strongly redistributed on the surface.
The dependencies on friction coefficient of the steady state (a) maximum and (b) minimum of the normalized probability density obtained by MC simulations (data points) and the finite-volume solution of the Smoluchowski equation (solid curves). The parameters are the same as for Fig. 2 except that now .
The dependencies on the friction coefficient of the relaxation times for the (a) maximum and (b) minimum of the probability density as predicted by the MC simulations (data points) and the finite-volume solution of the Smoluchowski equation (solid curves). All parameters are the same as for Figs. 2 and 3.
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