Document Type

Working Paper

Date

1995

Embargo Period

9-28-2010

Keywords

Condensed Matter

Language

English

Disciplines

Physics

Description/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 $\zeta = 0.41 \pm 0.01, 0.22 \pm 0.01$, with the related energy exponent being $\theta = 0.84 \pm 0.03, 1.45 \pm 0.04$, in $d = 2, 3$, respectively. These results are compared with previous analytical and numerical estimates.

Additional Information

10 pages, REVTEX3.0; 3 ps files (separate:tar/gzip/uuencoded) for figures

Source

Metadata from ArXiv.org

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

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