Modified Extrapolation Length Renormalization Group Equation
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 ord = - near the ordinary transition.
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