Research articles

search articles

My Pages

Stat

Members: 3645
Articles: 2'504'928
Articles rated: 2609

25 April 2024

» arxiv » 1206.6592

Article overview

Finite-temperature and finite-time scaling of the directed polymer free-energy with respect to its geometrical fluctuations
Elisabeth Agoritsas ; Sebastian Bustingorry ; Vivien Lecomte ; Gregory Schehr ; Thierry Giamarchi ;
Date:	28 Jun 2012
Abstract:	We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length {xi} and at finite temperature. We address the correspondence between the geometrical transverse fluctuations of the directed polymer, described by its roughness, and the fluctuations of its free-energy, characterized by its two-point correlator. Analytical arguments are provided in favor of a generic scaling law between those quantities, at finite time, non-vanishing {xi} and explicit temperature dependence. Numerical results are in good agreement both for simulations on the discrete directed polymer and on a continuous directed polymer (with short-range correlated disorder). Applications to recent experiments on liquid crystals are discussed.
Source:	arXiv, 1206.6592
Services:	Forum \| Review \| PDF \| Favorites

No review found.

Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)

ScienXe.org
» my Online CV
» Free

News, job offers and information for researchers and scientists:

home

contact

sitemap