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Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model

Hicham Qasmi·Julien Barre'·Thierry Dauxois
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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.

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Hicham Qasmi, Julien Barre', Thierry Dauxois. 2004-07-26. Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model. https://arxiv.org/abs/cond-mat/0407662

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