| Issue |
Europhys. Lett.
Volume 38, Number 8, June II 1997
|
|
|---|---|---|
| Page(s) | 571 - 576 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00285-3 | |
| Published online | 01 September 2002 | |
Branching transition of a directed polymer in random medium
1
Dipartimento di Fisica and Sezione INFN, Università di Bologna, I-40126 Bologna, Italy
2
INFM-Dipartimento di Fisica and Sezione INFN, Università di Padova, I-35131 Padova, Italy
Received:
13
March
1997
Accepted:
7
May
1997
A directed polymer is allowed to branch, with configurations determined by global
energy optimization and disorder. A finite-size scaling analysis in 2D shows that,
if disorder makes branching more and more favorable,
a critical transition occurs
from the linear scaling regime first studied by Huse and Henley (Phys. Rev.
Lett., 54, (1985) 2708) to a fully branched, compact one. At criticality clear
evidence is obtained that the polymer branches at all scales with dimension 
and roughness exponent 
satisfying 
, and energy fluctuation exponent 
, in terms of longitudinal distance.
PACS: 05.70.Jk – Critical point phenomena / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 61.41.+e – Polymers, elastomers, and plastics
© EDP Sciences, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.