Document Type
Working Paper
Date
1995
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.
Recommended Citation
Middleton, Alan, "Numerical Results for the Ground-State Interface in a Random Medium" (1995). Physics - All Scholarship. 19.
https://surface.syr.edu/phy/19
Source
Metadata from ArXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
10 pages, REVTEX3.0; 3 ps files (separate:tar/gzip/uuencoded) for figures