Lyapunov Spectrum and the Conjugate Pairing Rule for a Thermostatted Random Lorentz Gas: Kinetic Theory

Journal Article · Tue Dec 31 23:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.207· OSTI ID:439060

Latz, A; Dorfman, J ^[1]; van Beijeren, H ^[2]

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1. I.P.S.T. and Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
2. Institute for Theoretical Physics, University of Utrecht, Postbus 80006, 3508 TA, Utrecht (The Netherlands)

We calculate all four nonzero Lyapunov exponents for a three-dimensional, dilute, random Lorentz gas by combining dynamical systems and Boltzmann equation methods. In the presence of an external field and a Gaussian thermostat the Lyapunov exponents, calculated up to second order in the applied field, satisfy a conjugate pairing rule. Agreement of the results obtained here with those of computer simulations of Dellago and Posch [following Letter, Phys.Rev.Lett.{ital 78}, 211 (1997)]. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 439060
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOLTZMANN EQUATION
EQUILIBRIUM
GASES
HARD-SPHERE MODEL
LORENTZ GAS
LYAPUNOV METHOD
RANDOMNESS
SIMULATION
SPECTRA
THERMOSTATS
THREE-DIMENSIONAL CALCULATIONS
TRANSPORT