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Conjugate pairing of Lyapunov exponents for isokinetic shear flow algorithms
1School of Physics, The University of New South Wales, UNSW Sydney, New South Wales 2052, Australia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
Abstract:
Previous numerical calculations of the Lyapunov exponents for the eight particle isokinetic SLLOD algorithm for shear viscosity are extended to higher shear rates and a more careful error analysis presented. These calculations imply that within error bars, the conjugate pairing rule is satisfied for this system. The shift in the unpaired exponent appears to be unconnected with the shift in the other conjugate pairs. This distinguishes one degree of freedom from all others in the system.