Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model
Statistical Mechanics
2007-05-23 v1 Chaotic Dynamics
Abstract
We consider the links between nonlinear dynamics and thermodynamics in the framework of a simple nonlinear model for DNA. Two analyses of the phase transition, either with the transfer integral approach or by considering the instability of a nonlinear particular solution, are discussed. Conversely, the computation of the largest Lyapunov exponent is obtained within a thermodynamic treatment. Differences with the Peyrard-Bishop model are also discussed.
Cite
@article{arxiv.cond-mat/0407662,
title = {Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model},
author = {Hicham Qasmi and Julien Barre' and Thierry Dauxois},
journal= {arXiv preprint arXiv:cond-mat/0407662},
year = {2007}
}