Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems

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dc.creatorTaniguchi, Tooru
dc.creatorMorriss, Gary P.
dc.date2002-04-03
dc.date.accessioned2026-07-07T05:34:01Z
dc.date.available2026-07-07T05:34:01Z
dc.descriptionThe master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external restriction, in which particle interactions are expressed as a Gaussian white randomness. Positive Lyapunov exponents are calculated by using the Fokker-Planck equation to describe the tangent vector dynamics. We introduce another Fokker-Planck equation to describe the time-reversed tangent vector dynamics, which allows us to calculate the negative Lyapunov exponents. Using the Lyapunov exponents provided by these two Fokker-Planck equations we show the conjugate pairing rule is satisfied for thermostatted systems with a shear flow in the thermodynamic limit. We also give an explicit form to connect the Lyapunov exponents with the time-correlation of the interaction matrix in a thermostatted system with a color field.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/nlin/0204003
dc.identifierhttp://arxiv.org/abs/nlin/0204003
dc.identifierPhys. Rev. E 66, 066203 (2002)
dc.identifierdoi:10.1103/PhysRevE.66.066203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80207
dc.subjectChaotic Dynamics
dc.titleMaster equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems
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