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Volumn 35, Issue 1, 2004, Pages 1-30

Nonequilibrium statistical mechanics Brussels-Austin style

Author keywords

Arrow of time; Integrable systems; Nonlinear dynamics; Probability; Statistical mechanics; Thermodynamics

Indexed keywords


EID: 0345861774     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/j.shpsb.2001.11.001     Document Type: Article
Times cited : (41)

References (56)
  • 1
    • 0001338733 scopus 로고
    • From probabilistic descriptions to deterministic dynamics
    • Antoniou I. Gustafson K. From probabilistic descriptions to deterministic dynamics Physica A 197 1993 153-166
    • (1993) Physica A , vol.197 , pp. 153-166
    • Antoniou, I.1    Gustafson, K.2
  • 3
    • 0000917444 scopus 로고
    • Intrinsic irreversibility and integrability of dynamics
    • Antoniou I. Prigogine I. Intrinsic irreversibility and integrability of dynamics Physica A 192 1993 443-464
    • (1993) Physica A , vol.192 , pp. 443-464
    • Antoniou, I.1    Prigogine, I.2
  • 4
    • 44049120431 scopus 로고
    • Generalized spectral decomposition of the β-adic Baker's transformation and intrinsic rreversibility
    • Antoniou I. Tasaki S. Generalized spectral decomposition of the β-adic Baker's transformation and intrinsic irreversibility Physica A 190 1992 303-329
    • (1992) Physica A , vol.190 , pp. 303-329
    • Antoniou, I.1    Tasaki, S.2
  • 5
    • 17844380546 scopus 로고
    • Spectral decomposition of the Renyi map
    • Antoniou I. Tasaki S. Spectral decomposition of the Renyi map Journal of Physics A 26 1993 73-94
    • (1993) Journal of Physics A , vol.26 , pp. 73-94
    • Antoniou, I.1    Tasaki, S.2
  • 6
    • 0010153001 scopus 로고    scopus 로고
    • Extrinsic and intrinsic irreversibility in probabilistic dynamical laws
    • A. Khrennikov (Ed.), Singapore: World Scientific
    • Atmanspacher, H., Bishop, R., & Amann, A. (2002). Extrinsic and intrinsic irreversibility in probabilistic dynamical laws. In A. Khrennikov (Ed.), Quantum probability and white noise analysis, Vol. XIII (pp. 50-70). Singapore: World Scientific.
    • (2002) Quantum Probability and White Noise Analysis , vol.13 , pp. 50-70
    • Atmanspacher, H.1    Bishop, R.2    Amann, A.3
  • 7
    • 0039162746 scopus 로고
    • Randomness and probability in dynamical theories: On the proposals of the Prigogine school
    • Batterman R. Randomness and probability in dynamical theories: on the proposals of the Prigogine school Philosophy of Science 58 1991 241-263
    • (1991) Philosophy of Science , vol.58 , pp. 241-263
    • Batterman, R.1
  • 8
    • 33646210868 scopus 로고    scopus 로고
    • Deterministic and indeterministic descriptions
    • H. Atmanspacher, & R. Bishop (Eds.), Thorverton: Imprint Academic
    • Bishop, R. C. (2002). Deterministic and indeterministic descriptions. In H. Atmanspacher, & R. Bishop (Eds.), Between chance and choice: interdisciplinary perspectives on determinism (pp. 5-31). Thorverton: Imprint Academic.
    • (2002) Between Chance and Choice: Interdisciplinary Perspectives on Determinism , pp. 5-31
    • Bishop, R.C.1
  • 9
  • 10
    • 33646214781 scopus 로고    scopus 로고
    • Quantum time arrows, semigroups and time-reversal in scattering
    • in press
    • Bishop, R. C. (2004b). Quantum time arrows, semigroups and time-reversal in scattering. International Journal of Theoretical Physics, in press.
    • (2004) International Journal of Theoretical Physics
    • Bishop, R.C.1
  • 11
    • 0010399580 scopus 로고
    • Rigged Hilbert space and mathematical description of physical systems
    • W. Brittin, A. Barut, & M. Guenin (Eds.), New York: Gordon and Breach Science Publishers Inc
    • Bohm, A. (1967). Rigged Hilbert space and mathematical description of physical systems. In W. Brittin, A. Barut, & M. Guenin (Eds.), Lectures in theoretical physics, Vol. IX A: Mathematical methods of theoretical physics (pp. 255-317). New York: Gordon and Breach Science Publishers Inc.
    • (1967) Lectures in Theoretical Physics Vol. IX A: Mathematical Methods of Theoretical Physics , pp. 255-317
    • Bohm, A.1
  • 12
    • 36749118763 scopus 로고
    • Resonance poles and Gamow vectors in the rigged Hilbert space formulation of quantum mechanics
    • Bohm A. Resonance poles and Gamow vectors in the rigged Hilbert space formulation of quantum mechanics Journal of Mathematical Physics 22 1981 2813-2822
    • (1981) Journal of Mathematical Physics , vol.22 , pp. 2813-2822
    • Bohm, A.1
  • 13
    • 0003361574 scopus 로고
    • Dirac kets, Gamow vectors, and Gel'fand triplets
    • Berlin: Springer
    • Bohm A. Gadella M. Dirac kets, Gamow vectors, and Gel'fand triplets Lecture notes in physics Vol. 348 1989 Springer Berlin
    • (1989) Lecture Notes on Physics , vol.348
    • Bohm, A.1    Gadella, M.2
  • 14
    • 33646212947 scopus 로고
    • On the construction of state spaces for classical dynamical systems with a time-dependent Hamiltonian function
    • Braunss G. On the construction of state spaces for classical dynamical systems with a time-dependent Hamiltonian function Journal of Mathematical Physics 25 1984 266-270
    • (1984) Journal of Mathematical Physics , vol.25 , pp. 266-270
    • Braunss, G.1
  • 15
    • 0039420008 scopus 로고
    • Intrinsic stochasticity of dynamical systems
    • Braunss G. Intrinsic stochasticity of dynamical systems Acta Applicandae Mathematicae 3 1985 1-21
    • (1985) Acta Applicandae Mathematicae , vol.3 , pp. 1-21
    • Braunss, G.1
  • 16
    • 0011105078 scopus 로고
    • Science of chaos or chaos in science?
    • Bricmont J. Science of chaos or chaos in science? Physicalia Magazine 17 1995 159-208
    • (1995) Physicalia Magazine , vol.17 , pp. 159-208
    • Bricmont, J.1
  • 17
    • 0000834086 scopus 로고
    • Statistical mechanics of irreversible processes, Part VII: A general theory of weakly coupled systems
    • Brout R. Prigogine I. Statistical mechanics of irreversible processes, Part VII: A general theory of weakly coupled systems Physica 22 1956 621-636
    • (1956) Physica , vol.22 , pp. 621-636
    • Brout, R.1    Prigogine, I.2
  • 18
    • 0039249913 scopus 로고
    • Intrinsic randomness and intrinsic irreversibility in classical dynamical systems
    • Proceedings of the National Academy of Sciences USA
    • Courbage M. Prigogine I. Intrinsic randomness and intrinsic irreversibility in classical dynamical systems Proceedings of the National Academy of Sciences USA 80 1983 2412-2416
    • (1983) , vol.80 , pp. 2412-2416
    • Courbage, M.1    Prigogine, I.2
  • 22
    • 0038940369 scopus 로고
    • Subdynamics and correlations
    • George C. Subdynamics and correlations Physica 65 1973 277-302
    • (1973) Physica , vol.65 , pp. 277-302
    • George, C.1
  • 27
    • 0039210307 scopus 로고
    • Spectral determination and physical conditions for a class of chaotic piecewise-linear maps
    • Hasegawa H. Driebe D. Spectral determination and physical conditions for a class of chaotic piecewise-linear maps Physics Letters A 176 1993 193-201
    • (1993) Physics Letters A , vol.176 , pp. 193-201
    • Hasegawa, H.1    Driebe, D.2
  • 28
    • 0001370675 scopus 로고
    • Unitarity and irreversibility in chaotic systems
    • Hasegawa H. Shapir W. Unitarity and irreversibility in chaotic systems Physical Review A 46 1992 7401-7423
    • (1992) Physical Review A , vol.46 , pp. 7401-7423
    • Hasegawa, H.1    Shapir, W.2
  • 30
    • 0346530941 scopus 로고    scopus 로고
    • On the Brussels school's arrow of time in quantum theory
    • Karakostas V. On the Brussels school's arrow of time in quantum theory Philosophy of Science 63 1996 374-400
    • (1996) Philosophy of Science , vol.63 , pp. 374-400
    • Karakostas, V.1
  • 35
    • 0013290658 scopus 로고    scopus 로고
    • Microscopic dynamics and the second law of thermodynamics
    • C. Mugnai, A. Ranfagni, & L. Schulman (Eds.), Rome: Consiglio Nazionale Delle Ricerche
    • Mackey, M. (2002). Microscopic dynamics and the second law of thermodynamics. In C. Mugnai, A. Ranfagni, & L. Schulman (Eds.), Time's arrows, quantum measurement and superluminal behavior (pp. 49-65). Rome: Consiglio Nazionale Delle Ricerche.
    • (2002) Time's Arrows, Quantum Measurement and Superluminal Behavior , pp. 49-65
    • Mackey, M.1
  • 36
    • 0017859512 scopus 로고
    • Nonequilibrium entropy, Lyapunov variables, and ergodic properties of classical systems
    • Misra B. Nonequilibrium entropy, Lyapunov variables, and ergodic properties of classical systems Proceedings of the National Academy of Sciences 75 1978 1627-1631
    • (1978) Proceedings of the National Academy of Sciences , vol.75 , pp. 1627-1631
    • Misra, B.1
  • 38
    • 0002161524 scopus 로고
    • From deterministic dynamics to probabilistic descriptions
    • Misra B. Prigogine I. Courbage M. From deterministic dynamics to probabilistic descriptions Physica A 98 1979 1-26
    • (1979) Physica A , vol.98 , pp. 1-26
    • Misra, B.1    Prigogine, I.2    Courbage, M.3
  • 39
    • 0004205075 scopus 로고
    • Exploring Complexity: An Introduction
    • New York: W. H. Freeman and Company
    • Nicolis G. Prigogine I. Exploring complexity: An introduction 1989 W. H. Freeman and Company New York
    • (1989)
    • Nicolis, G.1    Prigogine, I.2
  • 40
    • 49049127621 scopus 로고
    • Analysis of Prigogine's theory of subdynamics
    • Obcemea Ch. Brändas E. Analysis of Prigogine's theory of subdynamics Annals of Physics 151 1983 383-430
    • (1983) Annals of Physics , vol.151 , pp. 383-430
    • Obcemea, Ch.1    Brändas, E.2
  • 41
    • 0032047189 scopus 로고    scopus 로고
    • Rigged Hilbert spaces associated with Misra-Prigogine-Courbage theory of irreversibility
    • Ordóñez A. Rigged Hilbert spaces associated with Misra-Prigogine-Courbage theory of irreversibility Physica A 252 1998 362-376
    • (1998) Physica A , vol.252 , pp. 362-376
    • Ordóñez, A.1
  • 44
    • 0028383939 scopus 로고
    • Complex spectral representation and time-symmetry breaking
    • Petrosky T. Prigogine I. Complex spectral representation and time-symmetry breaking Chaos, Solitons and Fractals 4 1994 311-359
    • (1994) Chaos, Solitons and Fractals , vol.4 , pp. 311-359
    • Petrosky, T.1    Prigogine, I.2
  • 45
    • 0000328293 scopus 로고    scopus 로고
    • Poincaré resonances and the extension of classical dynamics
    • Petrosky T. Prigogine I. Poincaré resonances and the extension of classical dynamics Chaos, Solitons and Fractals 7 1996 441-497
    • (1996) Chaos, Solitons and Fractals , vol.7 , pp. 441-497
    • Petrosky, T.1    Prigogine, I.2
  • 47
    • 0009534344 scopus 로고
    • Quantum theory of non-integrable systems
    • Petrosky T. Prigogine I. Tasaki S. Quantum theory of non-integrable systems Physica A 173 1991 175-242
    • (1991) Physica A , vol.173 , pp. 175-242
    • Petrosky, T.1    Prigogine, I.2    Tasaki, S.3
  • 50
    • 0002971148 scopus 로고
    • Irreversible processes in gases I: The diagram technique
    • Prigogine I. Balescu R. Irreversible processes in gases I: The diagram technique Physica 25 1959 281-301
    • (1959) Physica , vol.25 , pp. 281-301
    • Prigogine, I.1    Balescu, R.2
  • 51
    • 0039841610 scopus 로고
    • Dynamical and statistical descriptions of n-body systems
    • Prigogine I. George C. Henin F. Dynamical and statistical descriptions of n-body systems Physica 45 1969 418-434
    • (1969) Physica , vol.45 , pp. 418-434
    • Prigogine, I.1    George, C.2    Henin, F.3
  • 54
    • 33646225502 scopus 로고    scopus 로고
    • Hidden determinism, probability, and time's arrow
    • H. Atmanspacher, & R. Bishop (Eds.), Thorverton: Imprint Academic
    • Primas, H. (2002). Hidden determinism, probability, and time's arrow. In H. Atmanspacher, & R. Bishop (Eds.), Between chance and choice: Interdisciplinary perspectives on determinism (pp. 89-113). Thorverton: Imprint Academic.
    • (2002) Between Chance and Choice: Interdisciplinary Perspectives on Determinism , pp. 89-113
    • Primas, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.