Euclidean Group as a Dynamical Symmetry of Surface Fluctuations: The Planar Interface and Critical Behavior

D. J. Wallace; R. K. P. Zia

doi:10.1103/PhysRevLett.43.808

Euclidean Group as a Dynamical Symmetry of Surface Fluctuations: The Planar Interface and Critical Behavior

D. J. Wallace and R. K. P. Zia

Phys. Rev. Lett. 43, 808 – Published 17 September 1979

Abstract

The statistical mechanics of the interface between two discrete thermodynamic phases is studied in terms of a field $f$ which describes the deviation of the interface from planar. Exploiting the dynamical Euclidean invariance of the Hamiltonian of the field $f$ , we construct $ε$ expansions for Ising-like critical behavior in $1 + ε$ dimensions, with a critical temperature of order $ε$ , Scaling functions for the interface profile and width in a pinning potential are obtained.

Received 26 June 1979

DOI:https://doi.org/10.1103/PhysRevLett.43.808

Authors & Affiliations

D. J. Wallace^*

Physics Department, The University, Southampton SO9 5NH, England

R. K. P. Zia

Physics Department, Virginia Polytechnic Institute & State University, Blacksburg, Virginia 24061

^*Virginia Polytechnic Institute & State University, Blacksburg, Va. 24061, Physics Department, Harvard University, Cambridge, Mass. 02138, and Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Mass. 02139. 1 October, 1979: Physics Department, University of Edinburgh, James Clerk Maxwell Building, Mayfield Road, Edinburgh EH9 3JZ, Scotland.