Contents
 
 

REFERENCES

Adams, M., Z. Dogic, S.L. Keller, and S. Fraden (1998), ``Entropically driven microphase transitions in mixtures of colloidal rods and spheres,'' Nature 393, 349.

Aronson, E.B. and C.J. Hansen (1972), ``Thermal equilibrium states of a classical system with Gravitation,'' Ap. J. 177, 145.

Baierlein, R. (1999), Thermal Physics, Cambridge Univ. Press, New York.

Bashkirov, A.G. and A.V. Vityazev (1998), ``Screening of gravitational interactions and its astrophysical manifestations,'' Ap. J. 497, 10.

Bennett, C.H. (1987), ``Demons, Engines and the Second Law,'' Sci. Am. 257 (5), 108 (November).

Bergman, P.G. and J.L. Lebowitz (1955), ``New Approach to Nonequilibrium Processes,'' Phys. Rev. 99, 578.

Binney, J. and S. Treiman (1987), Galactic Dynamics, Princeton Univ. Press, Princeton.

J.M. Blatt, J.M. (1959), ``An Alternative Approach to the Ergodic Problem,'' Prog. Theor. Phys. 22, 745.

Boltzmann, L. (1896), Vorlesungen über Gästheorie, Barth, Leipzig; Vol.1; Vol.2, 1898. [English translation by S.G. Brush: Lecture on Gas Theory, Cambridge Univ. Press, Cambridge, 1964.]

 (1895), ``On Certain Questions of the Theory of Gases,'' Nature 51, 413.

 (1897), ``Über einen mechanischen Satz Poincaré's,'' Wien. Ber. 106, 12.

Borel, É. (1913), ``La mécanique statistique et l'irréversibilité,'' J. Phys. (Paris) 21, 225. [Reprinted in OEUVRES DE EMILE BOREL, Tome III, Centre National de la Recherche Scientifique, Paris, 1972.]

 (1914), Le Hasard, Alcan, Paris.

Bricmont, J. (1996), ``Science of Chaos or Chaos in Science?'' in The Flight from Science and Reason, P.R. Gross, N. Levitt, and M.W. Lewis (eds.), Ann. NY Acad. Sci. 775, 131.

Brydges, D.C. and Ph. A. Martin (1999), ``Coulomb Systems at Low Density: A Review,'' J. Stat. Phys. 96, 1163.

Chaitin, G.J. (1975), ``Randomness and Mathematical Proof,'' Sci. Am., May, p.25.

Chirikov, B.V. (1969), ``Research Concerning the Theory of Non-linear Resonances and Stochasticity,'' Report 267, USSR Academy of Sciences, Novosibirsk. [CERN Translation 71-40 by A.T. Sanders, Geneva, 1971.]

Coveney, P.V. (1988), ``The second of law of thermodynamics: entropy, irreversibility and dynamics,'' Nature 333, 409.

Cox, R.T. (1946), ``Probability, Frequency and Reasonable Expectation,'' Am. J. Phys. 14, 1.

de Groot, S.R. and P. Mazur (1962), Nonequilibrium Thermodynamics, North-Holland, Amsterdam.

Denbigh, K.G. (1989), ``Note on Entropy, Disorder, and Disorganization,'' Br. J. Philos. Sci. 40, 323.

Denbigh, K.G. and J.S. Denbigh (1985), Entropy in Relation to Incomplete Knowledge, Cambridge Univ. Press, Cambridge.

Denbigh, K.G. and M.L.G. Redhead (1989), ``Gibbs' Paradox and Non-Uniform Convergence,'' Synthese 81, 283.

Dyson, F.J. and A. Lenard (1967), ``Stability of Matter. I,'' J. Math. Phys. 8, 423.

Ehrenfest, P. and V. Trkal (1920), ``Deduction of the dissociation-equilibrium from the theory of quanta and a calculation of the chemical constant based on this,'' Proc. Acad. Amsterdam 23, 162.

Feinstein, A. (1958), Foundations of Information Theory, McGraw-Hill, New York.

Fisher, M.E. (1964), ``The Free Energy of a Macroscopic System,'' Arch. Rat. Mech. Anal. 17, 377.

Fisher, M.E. and D. Ruelle (1966), ``The Stability of Many-Particle Systems,'' J. Math. Phys. 7, 260.

Ford, J. (1986), ``Chaos: solving the unsolvable, predicting the unpredictable!'' in M.F Barnsley and S.G. Demko (eds.), Chaotic Dynamics and Fractals, Academic Press, Orlando, FL.

Gibbs, J.W. (1875), ``On the Equilibrium of Heterogeneous Substances,'' Trans. Conn. Acad. Sci. III 108, 343, (1875-78). [Reprinted in The Scientific Papers of J. Willard Gibbs, Vol.1, Dover, NY, 1961.

Gibbs, J.W. (1902), Elementary Principles in Statistical Mechanics, Yale University Press, New Haven, Conn.

Grandy, W.T., Jr. (1980), ``Principle of maximum entropy and irreversible processes,'' Phys. Repts. 62, 175.

 (1987), Foundations of Statistical Mechanics, Vol.I: Equilibrium Theory, Reidel, Dordrecht.

 (1988), Foundations of Statistical Mechanics, Vol.II: Nonequilibrium Phenomena, Reidel, Dordrecht.

Griffiths, R.B. (1964), ``A Proof That The Free Energy Of A Spin System is Extensive,'' J. Math. Phys. 5, 1215.

Heisenberg, W. (1970), The Physicist's Conception of Nature, Greenwood Press, Westport, Conn.

Hertel, P. and W. Thirring (1971), ``Free Energy of Gravitating Fermions,'' Commun. math. Phys. 24, 22.

Hopf, E. (1932), ``Complete Transitivity and the Ergodic Principle,'' Proc. Natl. Acad. Sci. (U.S.A.) 18, 204.

Jaynes, E.T. (1957), ``Information Theory and Statistical Mechanics,'' Phys. Rev. 106, 620.

 (1971), ``Violation of Boltzmann's H-Theorem in Real Gases,'' Phys. Rev. A4, 747.

 (1992), ``The Gibbs Paradox,'' in Maximum Entropy and Bayesian Methods, C.R. Smith, G.J. Erickson, and P.O Neudorfer (eds.), Kluwer, Dordrecht.

Kiessling, M.K.-H. (1989), ``On the Equilibrium Statistical Mechanics of Isothermal Classical Self-Gravitating Matter,'' J. Stat. Phys. 55, 203.

Klein, M.J. (1956), ``Entropy and the Ehrenfest Urn Model,'' Physica 22, 569.

Krylov, N.S. (1979), Works on the Foundations of Statistical Physics, Princeton Univ. Press, Princeton.

Kubo, R. (1957), ``Statistical Mechanical Theory of Irreversible Processes. I,'' J. Phys. Soc. Japan 12, 570.

Lamb, W.E. (1973), ``Approach to Thermodynamic Equilibrium (and Other Stationary States),'' in J. Mehra (ed.), The Physicist's Conception of Nature, Reidel, Dordrecht, Netherlands.

Landau, L.D. and E.M. Lifshitz (1958), Statistical Physics, Pergamon Press, London.

Lanford, O.E., III (1975), ``Time Evolution of Large Classical Systems,'' in J. Moser (ed.), Lecture Notes in Physics, Vol.38, Springer-Verlag, Berlin.

 (1983), ``On a Derivation of the Boltzmann Equation,'' in J.L. Lebowitz and E.W. Montroll (eds.), Nonequilibrium Phenomena 1: The Boltzmann Equation, North-Holland, Amsterdam.

Lebowitz, J.L. (1993), ``Boltzmann's Entropy and Time's Arrow,'' Physics Today, Sept.

Lebowitz, J.L. and P.G. Bergman (1957), ``Irreversible Gibbsian Ensembles,'' Ann. Phys. (N.Y.) 1, 1.

Lenard, A. and F.J. Dyson (1968), ``Stability of Matter. II,'' J. Math. Phys. 9, 698.

Lévy-Leblond, J.-M. (1969), ``Nonsaturation of Gravitational Forces,'' J. Math. Phys. 10, 806.

Lieb, E.H. (1976), ``The stability of matter,'' Rev. Mod. Phys. 48, 553.

Lieb, E.H. and J. Yngvason (1999), ``The Physics and Mathematics of The Second Law Of Thermodynamics,'' Phys. Repts. 310, 1.

 (2000), ``A Fresh Look at Entropy and the Second Law of Thermodynamics,'' April, p.39.

Lynden-Bell, D. and R. Wood (1968), ``The Gravo-Thermal Catastrophe in Isothermal Spheres and the Onset of Red-Giant Structure for Stellar Systems,'' Mon. Not. R. astr. Soc. 138, 495.

Mackey, M.C. (1992) ``Time's Arrow: The Origins of Thermodynamic Behavior,'' Springer-Verlag, New York.

McGlashan, M.L. (1966), ``The Use and Misuse of the Laws of Thermodynamics,'' J. Chem Educ. 43, 226.

Neéman, Y. (1982), ``Time reversal Asymmetry at the Fundamental Level - and its Reflection on the Problem of the Arrow of Time,'' in P.T. Landsberg (ed.), The Enigma of Time, Adam Hilger, Bristol.

Nelson, R. (1961), ``Statistical Mechanical Basis for the Second Law of Thermodynamics,'' Ph.D thesis, Stanford University (unpublished).

Onsager, L. (1949), ``The effects of shape on the interaction of colloidal particles,'' Ann. NY Acad. Sci. 51, 627.

Pagels, H.R. (1985), ``Is the reversibility we see a fundamental property of nature?'' Physics Today, January.

Pauli, W. (1972), Thermodynamics and the Kinetic Theory of Gases (Pauli Lectures on Physics, Vol.3), C.P.Enz (ed.), MIT Press, Cambridge, MA.

Pauling, L. (1960), The Nature of the Chemical Bond, Cornell Univ. Press; p.466.

Penrose, O. (1970), Foundations of Statistical Mechanics, Pergamon Press, Oxford; p.160.

Pesic, P.D. (1991), ``The principle of identicality and the foundations of quantum theory. I. The Gibbs paradox,'' Am. J. Phys. 59, 971.

Pool, R. (1989), ``Chaos Theory: How Big an Advance?'' Science 245, 26. The references to this article actually refer to comments by J. Ford; Pool is basically a reporter.

Prigogine, I. (1961), Thermodynamics of Irreversible Processes, Interscience, New York.

 (1999), ``Laws of Nature, Probability and Time Symmetry Breaking,'' Physica A 263, 528.

Ruelle, D. (1969), Statistical Mechanics, Benjamin, New York.

Scalapino, D.J. (1961), ``Irreversible Statistical Mechanics,'' Ph.D thesis, Stanford University (unpublished).

Sinai, Ya. G. (1970), ``Dynamical systems with elastic reflections,'' Russ. Math. Surv. 25, 137.

Shore, J.E. and R.W. Johnson (1980), ``Axiomatic derivation of maximum entropy and the principle of minimum cross-entropy,'' IEEE Transactions IT-26, 26.

Smale, S. (1980), ``On the Problem of Reviving the Ergodic Hypothesis of Boltzmann and Birkhoff,'' Ann. NY Acad. Sci. 357, 260.

Thirring, W. (1970), ``Systems with Negative Specific Heat,'' Z. Physik 235, 339.

Tolman, R.C. (1938), ``Principles of Statistical Mechanics,'' Clarendon Press, Oxford.

Van Hove, L. (1949), ``Quelques propriétés générales de l'intégrale de configuration d'un système de particules avec interaction,'' Physica 15, 951.

von Neumann, J. (1932), ``Zur Operatorenmethode in der klassischen Mechanik,'' Ann. Math. 33, 587

Wright, P.G. (1970), ``Entropy and Disorder,'' Contemp. Phys. 11, 581.

Yang, C.N. and T.D. Lee (1952), ``Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation,'' Phys. Rev. 87, 404.

Zaslavsky, G.M. (1999), ``Chaotic Dynamics and the Origin of Statistical Laws,'' Physics Today, August.