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Volumn 66, Issue 2, 2002, Pages

Pairing of Lyapunov exponents for a hard-sphere gas under shear in the thermodynamic limit

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EQUATIONS OF MOTION; GAS DYNAMICS; KINETIC ENERGY; LYAPUNOV METHODS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; THERMOSTATS; VECTORS; VISCOSITY;

EID: 41349097902     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.021101     Document Type: Article
Times cited : (8)

References (25)
  • 5
    • 85036164477 scopus 로고    scopus 로고
    • D. J. Evans and G. P. Morriss, Statistical Mechanics of Non-Equilibrium Liquids (Academic Press, London, 1990)
    • D. J. Evans and G. P. Morriss, Statistical Mechanics of Non-Equilibrium Liquids (Academic Press, London, 1990).
  • 12
    • 85036314578 scopus 로고    scopus 로고
    • nlin.CD/0107048
    • D. Panja, e-print nlin.CD/0107048.
    • Panja, D.1
  • 16
    • 85036170804 scopus 로고    scopus 로고
    • reality, turbulence develops if the system’s dimension in the direction on the gradient of velocity becomes too large, but the isokinetic and the constant (Formula presented) thermostats stabilize the linear flow field, even for (Formula presented)
    • In reality, turbulence develops if the system’s dimension in the direction on the gradient of velocity becomes too large, but the isokinetic and the constant (Formula presented) thermostats stabilize the linear flow field, even for (Formula presented).
  • 20
    • 85036255067 scopus 로고    scopus 로고
    • This condition has been quoted as a necessary condition for an exact CPR in Ref. 13, but it is actually a sufficient condition
    • This condition has been quoted as a necessary condition for an exact CPR in Ref. 13, but it is actually a sufficient condition.
  • 22
    • 85036174077 scopus 로고    scopus 로고
    • Here we assume that such a power series expansion can be carried out for individual Lyapunov exponents. This is not unreasonable, but it might be applicable only to low densities. In any case, it is clear from the preceding paragraph that the presence of such nonanalytic terms can only give rise to differences between the finite-time Lyapunov exponents (Formula presented) and (Formula presented) (or the actual Lyapunov exponents (Formula presented) and (Formula presented) that are weaker than (Formula presented)
    • Here we assume that such a power series expansion can be carried out for individual Lyapunov exponents. This is not unreasonable, but it might be applicable only to low densities. In any case, it is clear from the preceding paragraph that the presence of such nonanalytic terms can only give rise to differences between the finite-time Lyapunov exponents (Formula presented) and (Formula presented) (or the actual Lyapunov exponents (Formula presented) and (Formula presented) that are weaker than (Formula presented).
  • 23
    • 85036210994 scopus 로고    scopus 로고
    • R. van Zon, Ph.D. thesis, University of Utrecht, 2000
    • R. van Zon, Ph.D. thesis, University of Utrecht, 2000.
  • 24
    • 85036333658 scopus 로고    scopus 로고
    • R. van Zon and H. van Beijeren (unpublished)
    • R. van Zon and H. van Beijeren (unpublished).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.