Biased diffusion in three-dimensional comb-like structures

Biased diffusion in three-dimensional comb-like structures.

In this paper, we study biased diffusion of point Brownian particles in a three-dimensional comb-like structure formed by a main cylindrical tube with identical periodic cylindrical dead ends. It is assumed that the dead ends are thin cylinders whose radius is much smaller than both the radius of the main tube and the distance between neighboring dead ends. It is also assumed that in the main t...

From normal to anomalous diffusion in comb-like structures in three dimensions.

Diffusion in a comb-like structure, formed by a main cylindrical tube with identical periodic dead ends of cylindrical shape, occurs slower than that in the same system without dead ends. The reason is that the particle, entering a dead end, interrupts its propagation along the tube axis. The slowdown becomes stronger and stronger as the dead end length increases, since the particle spends more...

Heterogeneous diffusion in comb and fractal grid structures

We give an exact analytical results for diffusion with a power-law position dependent diffusion coefficient along the main channel (backbone) on a comb and grid comb structures. For the mean square displacement along the backbone of the comb we obtain behavior 〈x2(t)〉 ∼ t, where α is the powerlaw exponent of the position dependent diffusion coefficient D(x) ∼ |x|α. Depending on the value of α w...

Dynamic Analysis of Three Dimensional Asymmetric Isolated Structures

Dynamic Analysis of Three Dimensional Asymmetric Isolated Structures