%0 Journal Article
%T Modified Extrapolation Length Renormalization Group Equation
%A Jacob Morris
%A Joseph Rudnick
%J Physics
%D 1999
%I arXiv
%X 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.
%U http://arxiv.org/abs/cond-mat/9908071v1