DIRECTED POLYMERS IN HIGH DIMENSIONS

Authors
BUNDSCHUH R LASSIG M
Citation
R. Bundschuh et M. Lassig, DIRECTED POLYMERS IN HIGH DIMENSIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 304-320
Citations number
31
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
54
Issue
1
Year of publication
1996
Pages
304 - 320
Database
ISI
SICI code
1063-651X(1996)54:1<304:DPIHD>2.0.ZU;2-Q
Abstract
We study directed polymers subject to a quenched random potential in d transversal dimensions. This system is closely related to the Kardar- Parisi-Zhang equation of nonlinear stochastic growth. By a careful ana lysis of the perturbation theory we show that physical quantities deve lop singular behavior for d-4. For example, the universal finite-size amplitude of the free energy at the roughening transition is proportio nal to root 4-d. This shows that the dimension d=4 plays a special rol e for the Kardar-Parisi-Zhang problem.