Lyapunov exponents for various thermodynamic conditions in Lennard-Jones fluids

Mauricio Romero-Bastida

Instituto Politécnico Nacional, ESIME-Culhuacán, Sección de Estudios de Posgrado
e Investigación (SEPI), México D.F., Mexico

In this work we present a systematic study of the Lyapunov exponents of a three-dimensional Lennard-Jones fluid under various thermodynamic conditions. For the maximum Lyapunov exponent (MLE) we determine a smooth dependence on the particle density at constant temperature. This behavior is the same for all other exponents; thus we provide evidence that the quasi-isotropy condition holds for this system. The dependence of the MLE with temperature at constant low density is very fuzzy and does not allow to observe a systematic behavior. This phenomenology can be attributed to the strong fluctuations of the MLE for low densities.

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