Exact renormalization group approach to a nonlinear diffusion equation

Details Exact renormalization group approach to a nonlinear diffusion equation Exact renormalization group approach to a nonlinear diffusion equation

2005-06-02

arxiv.org/abs/cond-mat/0506043v1

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1103/PhysRevE.72.046136

The exact renormalization group is applied to a nonlinear diffusion equation with a discontinuous diffusion coefficient. The generating functional of the solution for the initial-value problem of nonlinear diffusion equations is first introduced, and next a new regularization scheme is presented. It is shown that the renormalization of an action functional in the generating functional leads to an anomalous diffusion exponent in full order of the perturbation series with respect to a nonlinearity.

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