Anomalous Dimension in the Solution of the Barenblatt's Equation

Details Anomalous Dimension in the Solution of the Barenblatt's Equation Anomalous Dimension in the Solution of the Barenblatt's Equation

2001-02-28

arxiv.org/abs/cond-mat/0102520v1

J.Math.Phys 39, (1998)1589-1600

Physics

Condensed Matter

Statistical Mechanics

17 pages, LaTex, no figure

Scientific paper

10.1063/1.532399

A new method is presented to obtain the anomalous dimension in the solution of the Barenblatt's equation. The result is the same as that in the renormalization group (RG) approach. It gives us insight on the perturbative solution of the Barenblatt's equation in the RG approach. Based on this discussion, an improvement is made to take into account, in more complete way, the nonlinear effect, which is included in the Heaviside function in higher orders. This improved result is better than that in RG approach.

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