OVERHANGS IN INTERFACE GROWTH AND GROUND-STATE PATHS

Authors
MARSILI M ZHANG YC
Citation
M. Marsili et Yc. Zhang, OVERHANGS IN INTERFACE GROWTH AND GROUND-STATE PATHS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 4814-4816
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
4
Year of publication
1998
Pages
4814 - 4816
Database
ISI
SICI code
1063-651X(1998)57:4<4814:OIIGAG>2.0.ZU;2-B
Abstract
We report on numerical investigations concerning the statistics of the ground-state path in a disordered medium. For a distribution of energ ies having a positive support, these paths are almost directed, even t hough some overhangs are present. Computing both the directed minimum energy path and the unconstrained groundstate paths allows us to under stand whether the two problems belong to the same universality class. We present numerical results in dimensions up to d=6=5+1, which sugges ts that both problems are in the same universality class.