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

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

The master equation approach to Lyapunov spectra for many-particle systems is applied to nonequilibrium thermostated systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostated systems with a shear flow sustained by an external restriction, in which particle interactions are expressed as a Gaussian white randomness. Positive Lyapunov exponents …