Modified Extrapolation Length Renormalization Group Equation

Details Modified Extrapolation Length Renormalization Group Equation Modified Extrapolation Length Renormalization Group Equation

1999-08-04

arxiv.org/abs/cond-mat/9908071v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, REVTEX, submitted to Phys. Rev. Lett

Scientific paper

A modified renormalization group equation for the inverse extrapolation length $c$ is derived by considering the phase shifts of order parameter fluctuations. The resulting non-linear equation is also derived using standard methods and some additional assumptions. The associated renormalized flow $c(l)$ exhibits the correct behavior near both the special and ordinary fixed points and in particular yields a canonical scaling of $c$ with cross-over exponent $\phi_{\rm ord} = -\nu$ near the ordinary transition.

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