Comment on ``Lyapunov Exponent of a Many Body System and Its Transport Coefficients''

Details Comment on ``Lyapunov Exponent of a Many Body System and Its Transport Coefficients'' Comment on ``Lyapunov Exponent of a Many Body System and Its Transport Coefficients''

1999-04-21

arxiv.org/abs/cond-mat/9904302v1

Phys. Rev. Lett. 83 (1999) 2676

Physics

Condensed Matter

Statistical Mechanics

1 page, Revtex - 1 PS Figs - Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.83.2676

In a recent Letter, Barnett, Tajima, Nishihara, Ueshima and Furukawa obtained a theoretical expression for the maximum Lyapunov exponent $\lambda_1$ of a dilute gas. They conclude that $\lambda_1$ is proportional to the cube root of the self-diffusion coefficient $D$, independent of the range of the interaction potential. They validate their conjecture with numerical data for a dense one-component plasma, a system with long-range forces. We claim that their result is highly non-generic. We show in the following that it does not apply to a gas of hard spheres, neither in the dilute nor in the dense phase.

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