Lyapunov exponents as a dynamical indicator of a phase transition

Details Lyapunov exponents as a dynamical indicator of a phase transition Lyapunov exponents as a dynamical indicator of a phase transition

2001-02-19

arxiv.org/abs/cond-mat/0102327v1

Europhysics Letters 55, 154 (2001)

Physics

Condensed Matter

Statistical Mechanics

8 Pages, 3 Figures

Scientific paper

10.1209/epl/i2001-00396-3

We study analytically the behavior of the largest Lyapunov exponent $\lambda_1$ for a one-dimensional chain of coupled nonlinear oscillators, by combining the transfer integral method and a Riemannian geometry approach. We apply the results to a simple model, proposed for the DNA denaturation, which emphasizes a first order-like or second order phase transition depending on the ratio of two length scales: this is an excellent model to characterize $\lambda_1$ as a dynamical indicator close to a phase transition.

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