N-body Lyapunov expansion rates in one component strongly coupled plasmas

Journal Article · Wed May 01 04:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.50463· OSTI ID:397258

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

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1. Institute of Laser Engineering, Osaka University, Suita, Osaka 565 (Japan)

Phase space Lyapunov expansion rates are measured for the first time for Coulomb many body systems with the use of a 3-{ital d} particle code. The time averaged Lyapunov exponents, {lambda}/{omega}{sub {ital p}}, are found to be proportional to {Gamma}{sup {minus}2/5} and the cubic root of the diffusion coefficient in the range of 1{lt}{Gamma}{lt}160, where {omega}{sub {ital p}} and {Gamma} are plasma frequency and ion coupling constant, respectively. A large jump of the averaged Lyapunov exponent is observed near {Gamma}{approximately}170, corresponding to the phase transition from liquid to solid. Instantaneous Lyapunov exponent has chaotic behavior and consists of three different spectra, flat, {ital f}{sup {minus}2} and {ital f}{sup {minus}1}. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 397258
• Report Number(s): CONF-950476--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 369; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COULOMB FIELD
COUPLING CONSTANTS
LYAPUNOV METHOD
PHASE SPACE
PLASMA SIMULATION
STRONG-COUPLING MODEL
TRAJECTORIES
TRANSPORT THEORY