Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2004

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

Résumé

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.

Dates et versions

hal-00136005 , version 1 (10-03-2007)

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Hicham Qasmi, Julien Barré, Thierry Dauxois. Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model. 2004. ⟨hal-00136005⟩
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