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

Authors
Type
Published Article
Publication Date
Apr 21, 1999
Submission Date
Apr 21, 1999
Identifiers
DOI: 10.1103/PhysRevLett.83.2676
arXiv ID: cond-mat/9904302
Source
arXiv
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.