Renormalization-group relaxational dynamics of interfaces in $4 - ε$ dimensions

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1 December 1984

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 30 (11) , 6795-6797
https://doi.org/10.1103/physrevb.30.6795

Abstract

We present a dynamic renormalization-group calculation in

4 - ε

dimensions of the capillary wave dispersion relation

ω_{q}

for the interface of an Ising-like system driven by relaxational dynamics (model A). The dispersion relation is of the form

ω_{q} = - i Γ q^{z} Ω (q ξ)

, with

Ω (x)

universal and

z = 2 + O (ε^{2})

, and satisfies the Goldstone theorem for the spontaneously broken Euclidean symmetry.

Keywords

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