TY - JOUR
T1 - Numerical results for the ground-state interface in a random medium
AU - Middleton, A. Alan
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000293720&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000293720&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.52.R3337
DO - 10.1103/PhysRevE.52.R3337
M3 - Article
AN - SCOPUS:0000293720
VL - 52
SP - R3337-R3340
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 4
ER -