Relation between Lyapunov Exponent and Dielectric Response Function in Dilute One Component Plasmas

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.2249· OSTI ID:542664

Ueshima, Y; Nishihara, K ^[1]; Barnett, D M; Tajima, T ^[2]; Furukawa, H ^[3]

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1. Institute of Laser Engineering, Osaka University, Suita, Osaka 565 (Japan)
2. Department of Physics and Institute of Fusion Studies, University of Texas at Austin, Austin, Texas 78712 (United States)
3. Institute for Laser Technology, Suita, Osaka 565 (Japan)

An analytical model is developed for the N -body largest Lyapunov exponent in the dilute plasma, and it is shown that the Lyapunov exponent relates to the dielectric response function. The relation provides a bridge between microscopic mechanical and macroscopic statistical quantities and it is expected to also be applicable for a weakly nonequilibrium system. In thermal equilibrium, the model shows that the Lyapunov exponent of dilute one component plasmas is of the same order as the plasma frequency and independent of the Coulomb coupling constant. These results agree fairly well with three dimensional particle simulations. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 542664
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COUPLING CONSTANTS
DIELECTRIC PROPERTIES
LYAPUNOV METHOD
PLASMA
RESPONSE FUNCTIONS
THERMAL EQUILIBRIUM