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First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
First Passage Times Tracer Particle Single File Diffusion Fractional Brownian Motion Biological Physics
2012/5/29
We investigate the full functional form of the first passage time density (FPTD) of a tracer particle in a single-file diffusion (SFD) system whose population is: (i) homogeneous, i.e., all particles ...
Some Exact Self-Similar Solutions to a Density-Dependent Reaction-Diffusion Model
Exact Self-Similar Density-Dependent Reaction-Diffusion Model Biological Physics
2012/4/20
In this paper, we investigated a density-dependent reaction-diffusion equation, $u_t = (u^{m})_{xx} + u - u^{m}$. This equation is known as the extension of the Fisher or Kolmogoroff-Petrovsky-Piscoun...
Although many important systems can be represented by directed irregular structures, there is a lack of studies concerning diffusion dynamics in such systems. Here we take a first step towards this ob...