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 nonlinear 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 crossover exponent $\phi_{\rm ord} = \nu$ near the ordinary transition.
 Publication:

arXiv eprints
 Pub Date:
 August 1999
 arXiv:
 arXiv:condmat/9908071
 Bibcode:
 1999cond.mat..8071M
 Keywords:

 Statistical Mechanics
 EPrint:
 5 pages, REVTEX, submitted to Phys. Rev. Lett