메뉴 건너뛰기




Volumn 279, Issue 1-4, 2000, Pages 37-44

The existence of Burnett coefficients in the periodic Lorentz gas

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; DENSITY OF GASES; DIFFUSION IN GASES; FUNCTIONS; INTEGRAL EQUATIONS; RANDOM PROCESSES;

EID: 0033746621     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00512-9     Document Type: Article
Times cited : (18)

References (12)
  • 1
    • 84960552756 scopus 로고
    • The distribution of molecular velocities and the mean motion in a non-uniform gas
    • D. Burnett, The distribution of molecular velocities and the mean motion in a non-uniform gas, Proc. London Math. Soc. 40 (1935) 382-435.
    • (1935) Proc. London Math. Soc. , vol.40 , pp. 382-435
    • Burnett, D.1
  • 2
    • 0001614585 scopus 로고
    • On the density expansion of the pair distribution function for a dense gas not in equilibrium
    • J.R. Dorfman, E.G.D. Cohen, On the density expansion of the pair distribution function for a dense gas not in equilibrium, Phys. Lett. 16 (1965) 124-125.
    • (1965) Phys. Lett. , vol.16 , pp. 124-125
    • Dorfman, J.R.1    Cohen, E.G.D.2
  • 3
    • 0013417986 scopus 로고
    • Non-analytic density behaviour of the diffusion coefficient of a Lorentz gas
    • J.M.J. van Leeuwen, A. Weijland, Non-analytic density behaviour of the diffusion coefficient of a Lorentz gas, Physica 36 (1967) 457-490.
    • (1967) Physica , vol.36 , pp. 457-490
    • Van Leeuwen, J.M.J.1    Weijland, A.2
  • 4
    • 36049053567 scopus 로고
    • Kinetic equations and density expansions: Exactly solvable one-dimensional system
    • J.L. Lebowitz, J. Percus, Kinetic equations and density expansions: Exactly solvable one-dimensional system, Phys. Rev. 155 (1967) 122-138.
    • (1967) Phys. Rev. , vol.155 , pp. 122-138
    • Lebowitz, J.L.1    Percus, J.2
  • 5
    • 0002639528 scopus 로고
    • Long time behaviour of the velocity autocorrelation function in a Lorentz gas
    • M.H. Ernst, A. Weyland, Long time behaviour of the velocity autocorrelation function in a Lorentz gas, Phys. Lett. A 34 (1971) 39-40.
    • (1971) Phys. Lett. A , vol.34 , pp. 39-40
    • Ernst, M.H.1    Weyland, A.2
  • 6
    • 0000421525 scopus 로고
    • Transport properties of stochastic Lorentz models
    • H. van Beijeren, Transport properties of stochastic Lorentz models, Rev. Mod. Phys. 54 (1982) 195-234.
    • (1982) Rev. Mod. Phys. , vol.54 , pp. 195-234
    • Van Beijeren, H.1
  • 8
    • 0033074305 scopus 로고    scopus 로고
    • Decay of correlations and dispersing billiards
    • N.I. Chernov, Decay of correlations and dispersing billiards, J. Stat. Phys. 94 (1999) 513-556.
    • (1999) J. Stat. Phys. , vol.94 , pp. 513-556
    • Chernov, N.I.1
  • 9
    • 84956084246 scopus 로고
    • Statistical properties of two-dimensional hyperbolic billiards
    • L.A. Bunimovich, Ya.G. Sinai, N.I. Chernov, Statistical properties of two-dimensional hyperbolic billiards, Russ. Math. Surveys 46 (1991) 47-106.
    • (1991) Russ. Math. Surveys , vol.46 , pp. 47-106
    • Bunimovich, L.A.1    Sinai, Y.G.2    Chernov, N.I.3
  • 10
    • 21344496897 scopus 로고
    • Statistical properties of the periodic Lorentz gas. Multidimensional case
    • N.I. Chernov, Statistical properties of the periodic Lorentz gas. Multidimensional case, J. Stat. Phys. 74 (1994) 11-53.
    • (1994) J. Stat. Phys. , vol.74 , pp. 11-53
    • Chernov, N.I.1
  • 11
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • L.-S. Young, Statistical properties of dynamical systems with some hyperbolicity, Ann. Math. 147 (1998) 585-650.
    • (1998) Ann. Math. , vol.147 , pp. 585-650
    • Young, L.-S.1
  • 12
    • 21844520203 scopus 로고
    • Limit theorems and Markov approximations for chaotic dynamical systems
    • N.I. Chernov, Limit theorems and Markov approximations for chaotic dynamical systems, Probab. Theory Relat. Fields 101 (1995) 321-362.
    • (1995) Probab. Theory Relat. Fields , vol.101 , pp. 321-362
    • Chernov, N.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.