Numerical results for the ground-state interface in a random medium
Open Access
- 1 October 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (4) , R3337-R3340
- https://doi.org/10.1103/physreve.52.r3337
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 ζ=0.41±0.01,0.22±0.01, with the related energy exponent being θ=0.84±0.03,1.45±0.04, in d=2,3, respectively. These results are compared with previous analytical and numerical estimates.Keywords
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