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Modified Extrapolation Length Renormalization Group Equation

Jacob Morris·Joseph Rudnick
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Abstract

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 $ϕ_{\rm ord} = -ν$ near the ordinary transition.

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Jacob Morris, Joseph Rudnick. 1999-08-04. Modified Extrapolation Length Renormalization Group Equation. https://arxiv.org/abs/cond-mat/9908071

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