Modified Extrapolation Length Renormalization Group Equation

Jacob Morris; Joseph Rudnick

arXiv:cond-mat/9908071·cond-mat.stat-mech·May 23, 2007

Modified Extrapolation Length Renormalization Group Equation

Jacob Morris, Joseph Rudnick

PDF

Open Access

TL;DR

None

Contribution

None

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

Peer Reviews

No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.

Videos

No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.

Taxonomy

TopicsNumerical methods in inverse problems