Year: 1995
Type: article
Abstract: The problem of determining the ground state of a d-dimensional interface embedded in a (d+1)-dimensional random medium is treated numerically. Using a minimum-cut algorithm, the exact ground states can be found for a number of problems for which other numerical methods are inexact and slow. In particular, results are presented for the roughness exponents and ground-state energy fluctuations in a random bond Ising model. It is found that the roughness exponent \ensuremath{\zeta}=0.41\ifmmode\pm\else\textpm\fi{}0.01,0.22\ifmmode\pm\else\textpm\fi{}0.01, with the related energy exponent being \ensuremath{\theta}=0.84\ifmmode\pm\else\textpm\fi{}0.03,1.45\ifmmode\pm\else\textpm\fi{}0.04, in d=2,3, respectively. These results are compared with previous analytical and numerical estimates.
Author: A. Alan Middleton
Institution: Syracuse University
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2127627558