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Volumn 65, Issue 6, 2002, Pages

Lyapunov exponent pairing for a thermostatted hard-sphere gas under shear in the thermodynamic limit

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GAUSSIAN NOISE (ELECTRONIC); LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MOLECULAR DYNAMICS; THERMOSTATS; VECTORS; VISCOSITY;

EID: 41349083916     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.060102     Document Type: Article
Times cited : (3)

References (25)
  • 6
    • 85035256796 scopus 로고    scopus 로고
    • D.J. Evans and G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, London, 1990)
    • D.J. Evans and G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, London, 1990).
  • 7
    • 85035265872 scopus 로고    scopus 로고
    • With CPR, the viscosity can be computed from two pairing Lyapunov exponents, but numerically it is not very efficient
    • With CPR, the viscosity can be computed from two pairing Lyapunov exponents, but numerically it is not very efficient.
  • 12
    • 37649032424 scopus 로고    scopus 로고
    • A recent work by G.P. Morriss, Phys. Rev. E 65, 017201 (2002) has once again verified that the original results of Ref. 5 were correct, thereby contradicting the simulation results of Refs. 10 and 11.
    • (2002) Phys. Rev. E , vol.65 , pp. 17201
    • Morriss, G.P.1
  • 13
    • 21844499382 scopus 로고
    • For the limit (Formula presented) with an isokinetic Gaussian thermostat during the collision, see J. Petravic, D.J. Isbister, and D.J. Morriss, J. Stat. Phys. 76, 1045 (1994).
    • (1994) J. Stat. Phys. , vol.76 , pp. 1045
    • Petravic, J.1    Isbister, D.J.2    Morriss, D.J.3
  • 14
    • 85035292490 scopus 로고    scopus 로고
    • nlin.CD/0107048
    • Debabrata Panja, e-print nlin.CD/0107048.
    • Panja, D.1
  • 15
    • 85035260826 scopus 로고    scopus 로고
    • nlin.CD/0202015
    • Debabrata Panja and Ramses van Zon, e-print nlin.CD/0202015.
    • Panja, D.1    van Zon, R.2
  • 20
    • 85035291876 scopus 로고    scopus 로고
    • There may exist other forms of (Formula presented) satisfying Eq. (11), but Eq. (10) is the simplest one for which (Formula presented)
    • There may exist other forms of (Formula presented) satisfying Eq. (11), but Eq. (10) is the simplest one for which (Formula presented).
  • 23
    • 85035260307 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 previous 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 previous 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).
  • 24
    • 85035299999 scopus 로고    scopus 로고
    • R. van Zon, Ph.D. thesis, University of Utrecht, The Netherlands, 2000
    • R. van Zon, Ph.D. thesis, University of Utrecht, The Netherlands, 2000.
  • 25
    • 85035303345 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.