The Real-Space Renormalization Group Applied to Diffusion in Inhomogeneous Media

Details The Real-Space Renormalization Group Applied to Diffusion in Inhomogeneous Media The Real-Space Renormalization Group Applied to Diffusion in Inhomogeneous Media

2002-12-27

arxiv.org/abs/cond-mat/0212613v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 1 figure. Submitted to J. Phys. Soc. Jpn

Scientific paper

The real-space renormalization group technique is introduced to evaluate the
effective diffusion constant for diffusion in inhomogeneous media, which has
been obtained by singular perturbation methods. Our method is formulated on a
discretized real space and hence it can be easily combined with numerical
studies for partial differential equations.

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