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Volumn 301, Issue 1-3, 1998, Pages 151-185

Deterministic chaos and the foundations of the kinetic theory of gases

Author keywords

05.40.+j; 05.45.+b; 05.60.+w

Indexed keywords


EID: 0000598525     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(98)00009-X     Document Type: Article
Times cited : (6)

References (84)
  • 1
  • 14
    • 0013501719 scopus 로고
    • On Axiom A Diffeomorphisms
    • American Mathematical Society, Providence
    • R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, vol. 470, Springer, Berlin, 1975; On Axiom A Diffeomorphisms, Regional Conference Series in Mathematics, vol. 35, American Mathematical Society, Providence, 1978; R. Bowen, D. Ruelle, Invent. Math. 29 (1975) 181.
    • (1978) Regional Conference Series in Mathematics , vol.35
  • 15
    • 0013501719 scopus 로고
    • R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, vol. 470, Springer, Berlin, 1975; On Axiom A Diffeomorphisms, Regional Conference Series in Mathematics, vol. 35, American Mathematical Society, Providence, 1978; R. Bowen, D. Ruelle, Invent. Math. 29 (1975) 181.
    • (1975) Invent. Math. , vol.29 , pp. 181
    • Bowen, R.1    Ruelle, D.2
  • 16
    • 0004133384 scopus 로고
    • Addison-Wesley, Reading MA
    • D. Ruelle, Thermodynamic Formalism, Addison-Wesley, Reading MA, 1978; Am. J. Math. 98 (1976) 619; Phys. Math. IHES 50 (1979) 275; Elements of Differentiable Dynamics and Bifurcation Theory, Academic Press, New York, 1989; D. Ruelle, Ya.G. Sinai, Physica A 140 (1986) 1.
    • (1978) Thermodynamic Formalism
    • Ruelle, D.1
  • 17
    • 0000809231 scopus 로고
    • D. Ruelle, Thermodynamic Formalism, Addison-Wesley, Reading MA, 1978; Am. J. Math. 98 (1976) 619; Phys. Math. IHES 50 (1979) 275; Elements of Differentiable Dynamics and Bifurcation Theory, Academic Press, New York, 1989; D. Ruelle, Ya.G. Sinai, Physica A 140 (1986) 1.
    • (1976) Am. J. Math. , vol.98 , pp. 619
  • 18
    • 0002685627 scopus 로고
    • D. Ruelle, Thermodynamic Formalism, Addison-Wesley, Reading MA, 1978; Am. J. Math. 98 (1976) 619; Phys. Math. IHES 50 (1979) 275; Elements of Differentiable Dynamics and Bifurcation Theory, Academic Press, New York, 1989; D. Ruelle, Ya.G. Sinai, Physica A 140 (1986) 1.
    • (1979) Phys. Math. IHES , vol.50 , pp. 275
  • 19
    • 0003655376 scopus 로고
    • Academic Press, New York
    • D. Ruelle, Thermodynamic Formalism, Addison-Wesley, Reading MA, 1978; Am. J. Math. 98 (1976) 619; Phys. Math. IHES 50 (1979) 275; Elements of Differentiable Dynamics and Bifurcation Theory, Academic Press, New York, 1989; D. Ruelle, Ya.G. Sinai, Physica A 140 (1986) 1.
    • (1989) Elements of Differentiable Dynamics and Bifurcation Theory
  • 20
    • 0040233908 scopus 로고
    • D. Ruelle, Thermodynamic Formalism, Addison-Wesley, Reading MA, 1978; Am. J. Math. 98 (1976) 619; Phys. Math. IHES 50 (1979) 275; Elements of Differentiable Dynamics and Bifurcation Theory, Academic Press, New York, 1989; D. Ruelle, Ya.G. Sinai, Physica A 140 (1986) 1.
    • (1986) Physica a , vol.140 , pp. 1
    • Ruelle, D.1    Sinai, Ya.g.2
  • 21
    • 0004178218 scopus 로고    scopus 로고
    • Princeton University Press, Princeton
    • Ya.G. Sinai, Introduction to Ergodic Theory, Princeton University Press, Princeton, 1976; Russ. Math. Surv. 25 (1970) 137; Dynamical Systems, World Scientific, Singapore, 1991; Russ. Math. Surv. 21 (1972) 21; Topics in Ergodic Theory, Princeton University Press, Princeton, 1994.
    • Introduction to Ergodic Theory , pp. 1976
    • Sinai, Ya.g.1
  • 22
    • 84927896522 scopus 로고
    • Ya.G. Sinai, Introduction to Ergodic Theory, Princeton University Press, Princeton, 1976; Russ. Math. Surv. 25 (1970) 137; Dynamical Systems, World Scientific, Singapore, 1991; Russ. Math. Surv. 21 (1972) 21; Topics in Ergodic Theory, Princeton University Press, Princeton, 1994.
    • (1970) Russ. Math. Surv. , vol.25 , pp. 137
  • 23
    • 0011630155 scopus 로고
    • World Scientific, Singapore
    • Ya.G. Sinai, Introduction to Ergodic Theory, Princeton University Press, Princeton, 1976; Russ. Math. Surv. 25 (1970) 137; Dynamical Systems, World Scientific, Singapore, 1991; Russ. Math. Surv. 21 (1972) 21; Topics in Ergodic Theory, Princeton University Press, Princeton, 1994.
    • (1991) Dynamical Systems
  • 24
    • 0039642171 scopus 로고
    • Ya.G. Sinai, Introduction to Ergodic Theory, Princeton University Press, Princeton, 1976; Russ. Math. Surv. 25 (1970) 137; Dynamical Systems, World Scientific, Singapore, 1991; Russ. Math. Surv. 21 (1972) 21; Topics in Ergodic Theory, Princeton University Press, Princeton, 1994.
    • (1972) Russ. Math. Surv. , vol.21 , pp. 21
  • 25
    • 0004192457 scopus 로고
    • Princeton University Press, Princeton
    • Ya.G. Sinai, Introduction to Ergodic Theory, Princeton University Press, Princeton, 1976; Russ. Math. Surv. 25 (1970) 137; Dynamical Systems, World Scientific, Singapore, 1991; Russ. Math. Surv. 21 (1972) 21; Topics in Ergodic Theory, Princeton University Press, Princeton, 1994.
    • (1994) Topics in Ergodic Theory
  • 28
    • 0003623843 scopus 로고
    • Academic Press, London
    • D.J. Evans, G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids, Academic Press, London, 1990; W.G. Hoover, Computational Statistical Mechanics, Elsevier, Amsterdam, 1991. See also papers collected in M. Mareschal, B. Holian (Eds.), Microscopic Simulations of Comples Hydrodynamic Phenomena, Plenum Press, New York, 1992.
    • (1990) Statistical Mechanics of Nonequilibrium Liquids
    • Evans, D.J.1    Morriss, G.P.2
  • 29
    • 0004256178 scopus 로고
    • Elsevier, Amsterdam
    • D.J. Evans, G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids, Academic Press, London, 1990; W.G. Hoover, Computational Statistical Mechanics, Elsevier, Amsterdam, 1991. See also papers collected in M. Mareschal, B. Holian (Eds.), Microscopic Simulations of Comples Hydrodynamic Phenomena, Plenum Press, New York, 1992.
    • (1991) Computational Statistical Mechanics
    • Hoover, W.G.1
  • 30
    • 0003457229 scopus 로고
    • See also papers collected in (Eds.), Plenum Press, New York
    • D.J. Evans, G.P. Morriss, Statistical Mechanics of Nonequilibrium Liquids, Academic Press, London, 1990; W.G. Hoover, Computational Statistical Mechanics, Elsevier, Amsterdam, 1991. See also papers collected in M. Mareschal, B. Holian (Eds.), Microscopic Simulations of Comples Hydrodynamic Phenomena, Plenum Press, New York, 1992.
    • (1992) Microscopic Simulations of Comples Hydrodynamic Phenomena
    • Mareschal, M.1    Holian, B.2
  • 35
    • 1542574947 scopus 로고    scopus 로고
    • D. Szasz, Stud. Scient. Math. Hungarica 31 (1996) 299; Physica A 194 (1993) 86.
    • (1993) Physica a , vol.194 , pp. 86
  • 40
    • 0003831421 scopus 로고
    • Cambridge University Press, Cambridge
    • K. Peterson, Ergodic Theory, Cambridge University Press, Cambridge, 1983.
    • (1983) Ergodic Theory
    • Peterson, K.1
  • 45
    • 0038755990 scopus 로고
    • in: G. Iooss, R.H.G. Helleman, R. Stora (Eds.), North Holland, Amsterdam
    • O.E. Lanford, in: G. Iooss, R.H.G. Helleman, R. Stora (Eds.), Chaotic Behavior of Deterministic Systems, North Holland, Amsterdam, 1983, p. 6.
    • (1983) Chaotic Behavior of Deterministic Systems , pp. 6
    • Lanford, O.E.1
  • 47
    • 0004141085 scopus 로고
    • in: Hao Bai-Lin (Ed.), World Scientific, Singapore
    • T. Tel, in: Hao Bai-Lin (Ed.), Directions in Chaos, World Scientific, Singapore, 1990.
    • (1990) Directions in Chaos
    • Tel, T.1
  • 68
    • 0040828543 scopus 로고    scopus 로고
    • unpublished.
    • R. Klages, unpublished.
    • Klages, R.1
  • 70
    • 0003084473 scopus 로고
    • Topics in Nonlinear Dynamics
    • in: S. Jorna (Ed.), American Institute of Physics, New York
    • M.V. Berry, in: S. Jorna (Ed.), Topics in Nonlinear Dynamics, AIP Conf. Proc., No. 46, American Institute of Physics, New York, 1978.
    • (1978) AIP Conf. Proc., No. 46
    • Berry, M.V.1
  • 78
    • 4243891084 scopus 로고    scopus 로고
    • T. Tel, J. Vollmer, W. Breymann, Europhys. Lett. 35 (1996) 659; Phys. Rev. Lett. 77 (1996) 2945.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 2945
  • 80
    • 0031162841 scopus 로고    scopus 로고
    • P. Gaspard, Physica A 240 (1997) 54; J. Stat. Phys., 89 (1997) 1215.
    • (1997) Physica a , vol.240 , pp. 54
    • Gaspard, P.1
  • 81
    • 0031162841 scopus 로고    scopus 로고
    • P. Gaspard, Physica A 240 (1997) 54; J. Stat. Phys., 89 (1997) 1215.
    • (1997) J. Stat. Phys. , vol.89 , pp. 1215
  • 82
    • 0003810939 scopus 로고
    • (Eds.) Cambridge University Press, Cambridge
    • G. Casati, B. Chirikov (Eds.) Quantum Chaos, Cambridge University Press, Cambridge, 1995; K. Nakamura, Quantum Chaos, Cambridge University Press, Cambridge, 1994; see also Chaos 3 (4) (1993).
    • (1995) Quantum Chaos
    • Casati, G.1    Chirikov, B.2
  • 83
    • 0003810939 scopus 로고
    • Cambridge University Press, Cambridge
    • G. Casati, B. Chirikov (Eds.) Quantum Chaos, Cambridge University Press, Cambridge, 1995; K. Nakamura, Quantum Chaos, Cambridge University Press, Cambridge, 1994; see also Chaos 3 (4) (1993).
    • (1994) Quantum Chaos
    • Nakamura, K.1
  • 84
    • 0040828608 scopus 로고    scopus 로고
    • see also
    • G. Casati, B. Chirikov (Eds.) Quantum Chaos, Cambridge University Press, Cambridge, 1995; K. Nakamura, Quantum Chaos, Cambridge University Press, Cambridge, 1994; see also Chaos 3 (4) (1993).
    • Chaos , vol.3 , Issue.4 , pp. 1993


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