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Exact solution for a diffusive process on a backbone structure: Green function approach and external force

    https://doi.org/10.1142/9789814590143_0011Cited by:0 (Source: Crossref)
    Abstract:

    The effects of an external force on a diffusive process subjected to a backbone structure are investigated. This analysis is performed by considering the system governed by the Fokker-Planck equation with . The equation is subjected to the boundary conditions ρ(±∞, y; t) = 0 and ρ(x, ±∞; t) = 0 with , where is normalized. Applying the Green function approach, we obtain exact solutions and analyze the relaxation process through the mean square displacement evaluated for the x and y directions. Our results show an anomalous spreading of the system characterized by one or several diffusive regimes connected to anomalous diffusion and stationary states.