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An Interpretation of Macroscopic Irreversibility within the Newtonian Framework

Published online by Cambridge University Press:  01 April 2022

Henry B. Hollinger
Affiliation:
Department of Chemistry/Department of Philosophy, Rensselaer Polytechnic Institute
Michael J. Zenzen
Affiliation:
Department of Chemistry/Department of Philosophy, Rensselaer Polytechnic Institute

Abstract

Some of the most imaginative analyses in contemporary science have been fostered by the paradox of irreversibility. Rendered as a question the paradox reads: How can the anisotropic macrophysical behavior of a system of molecules be reconciled with the underlying reversible molecular model? Attempts to resolve and dissolve the paradox have appealed to large numbers of particles, jammed correlations, unseen perturbations, hidden variables or constraints, uncertainty principles, averaging procedures (e.g., coarse graining and time smoothing), stochastic flaws, cosmological origins, etc.

While acknowledging these efforts as important articulations of basic ideas of statistical mechanics, we question their relevance to irreversibility as it occurs in nature. It seems to us that once the emergence of the phenomenon of equilibrium is understood in terms of molecular dynamics, the macroscopic appearance of irreversibility can also be understood in terms of the frequency of forced withdrawals from young equilibria. We believe that the paradox of irreversibility can be resolved in a simple, logically clear, and aesthetically pleasing manner.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1982

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References

Balescu, R. (1975), Equilibrium and Non-equilibrium Statistical Mechanics. New York: John Wiley and Sons.Google Scholar
Bastin, T. (ed.) (1971), Quantum Theory and Beyond, Essays and Discussions Arising from a Colloquium. London: Cambridge University Press.Google Scholar
Bent, H. (1965), The Second Law. New York: Oxford University Press.Google Scholar
Biolsi, L. and Hollinger, H. (1974), The Withdrawal from Equilibrium of a Collisionless Gas, Rarefied Gas Dynamics. New York: Academic Press.Google Scholar
Bogoliubov, N. (1961), “Problems of Dynamical Theory in Statistical Physics” in Studies in Statistical Mechanics, Vol. 1. Boer, J. de and Uhlenbeck, G. (eds.), New York: Interscience Publishers.Google Scholar
Boltzmann, L. (1872), “Weitere Studien über die Wärmegleichgewicht unta Gasmolekülen” in Wiener Ber., II, 66: 275370.Google Scholar
Boltzmann, L. (1964), Lectures on Gas Theory, translation of 1896–98 volumes published by Barth, J. A., Leipzig, , Brush, S. (tr.). Berkeley: University of California Press.CrossRefGoogle Scholar
Born, M. (1948), “Die Quantenmechanik und zweite Hauptsatz der Thermodynamik” in Annalen der Physik 3: 197.Google Scholar
Brittin, W. E. (ed.) (1959), Lectures in Theoretical Physics, Vol. 3. New York: Interscience Publishers.Google Scholar
Brush, S. (1967), “Foundations of Statistical Mechanics 1845–1915” in Archives for History of Exact Sciences 4: 145.CrossRefGoogle Scholar
Brush, S. (1972), Kinetic Theory, Vol. 3. New York: Pergamon Press.Google Scholar
Carmody, W. (1960), “Dynamic Equilibrium” in Journal of Chemical Education 37: 312.CrossRefGoogle Scholar
Chapman, S. and Cowling, T. (1952), Mathematical Theory of Non-uniform Gases. London: Cambridge University Press.Google Scholar
Cohen, E. G. D. (comp.) (1962), Fundamental Problems in Statistical Mechanics, Proceedings of the NUFFIC International Summer Course. New York: Interscience Publishers.Google Scholar
Cox, R. (1950), “The Statistical Method of Gibbs in Irreversible Change” in Reviews of Modern Physics 22: 238.CrossRefGoogle Scholar
Curtiss, C. (1948), The Equilibrium Assumption in the Theory of Absolute Reaction Rates. Report CM-476, University of Wisconsin.Google Scholar
Daub, E. (1969), “Probability and Thermodynamics: The Reduction of the Second Law” in Isis 60: 318.CrossRefGoogle Scholar
de Beauregard, O. (1970), “Is There a Paradox in the Theory of Time Anisotropy?” in A Critical Review of Thermodynamics, Stuart, E., Brainare, A., Gal-Or, B. (eds.). Baltimore, MD: Mono Book Co.Google Scholar
de Broglie, L., Lochak, G., Beswick, J., and Vassalo-Pereira, J. (1976), “Present, Predicted, and Hidden Probabilities” in Foundations of Physics 6: 3.CrossRefGoogle Scholar
de Groot, S. and Mazur, P. (1962), Non-equilibrium Thermodynamics. Amsterdam: North Holland Publishing Co.Google Scholar
Denbigh, K. (1971), Chemical Equilibrium. (3rd ed.). London: Cambridge University Press.Google Scholar
Ehrenfest, P. and T. (1959), The Conceptual Foundations of the Statistical Approach in Mechanics. (tr. of Encyklopadie der mathematischen Wissenschaftsen, Teubner, Leipzig, 1911) Ithaca: Cornell University Press.Google Scholar
Einstein, E. (1922), “Zur Theorie des Radiometers” in Annalen der Physik 69: 241.CrossRefGoogle Scholar
Elkana, Y. (1974), “Boltzmann's Scientific Research Program and its Alternatives” in The Interaction Between Science and Philosophy, Elkana, Y. (ed.), Atlantic Highlands, NJ: Humanities Press.Google Scholar
Farquhar, I. (1964), Ergodic Theory in Statistical Mechanics. New York: Interscience Publishers.Google Scholar
Fast, J. (1962), Entropy. New York: McGraw-Hill Book Company.Google Scholar
Fugita, S. (1966), Introduction to Non-equilibrium Statistical Mechanics. Philadelphia, PA: W. B. Saunders Co.Google Scholar
Gal-Or, B. (1976), “Cosmological Origin of Irreversibility, Time and Time Anisotropies, I and II” in Foundations of Physics 6, nos. 4 and 6.Google Scholar
Garrido, L. M. (Director) (1972), Irreversibility in the Many Body Problem, Sitges International School of Physics. New York: Plenum Press.CrossRefGoogle Scholar
Glasstone, S., Laidler, K., and Eyring, H. (1941), The Theory of Rate Processes. New York: McGraw-Hill Book Co.Google Scholar
Gold, T. (ed.) (1967), The Nature of Time, a Meeting at Cornell University (1963). Ithaca, NY: Cornell University Press.Google Scholar
Grad, H. (1961), “The Many Faces of Entropy” in Communications of Pure and Applied Mathematics 14: 323.CrossRefGoogle Scholar
Grecos, A. and Prigogine, I. (1972), “Kinetic and Ergodic Properties of Quantum Systems” in Physica 59.CrossRefGoogle Scholar
Green, M. (1956), “Boltzmann Equation from the Statistical Mechanical Point of View” in Journal of Chemical Physics 25: 836.CrossRefGoogle Scholar
Grünbaum, A. (1973), Philosophical Problems of Space and Time (2nd enlarged ed.), Volume 12 of the Boston Studies in the Philosophy of Science, Wartofsky, M. (ed.). Boston: D. Reidel Publishing Co.Google Scholar
Grünbaum, A. (1974), “Popper's Views on the Arrow of Time” in The Philosophy of Karl Popper, Volume 4 of The Library of Living Philosophers, Schillp, P. (ed.), LaSalle, IL: Open Court Publishing Co.Google Scholar
Hill, T. (1956), Statistical Thermodynamics. New York: McGraw-Hill Book Co.Google Scholar
Hollinger, H. (1962), “Molecular Chaos and the Boltzmann Equation” in Journal of Chemical Physics 36: 3208.CrossRefGoogle Scholar
Hollinger, H. (1972), “Equilibrium” in The Science Teacher 39, No. 7.Google Scholar
Hollinger, H. and Curtiss, C. (1960), “Kinetic Theory of Dense Gases” in Journal of Chemical Physics 33: 1386.CrossRefGoogle Scholar
Jammer, M. (1974), The Philosophy of Quantum Mechanics. New York: John Wiley and Sons.Google Scholar
Jaynes, E. (1965), “Gibbs vs Boltzmann Entropies” in American Journal of Physics 33: 291.CrossRefGoogle Scholar
Jaynes, E. (1967), Foundations of Probability Theory and Statistical Mechanics, Delaware Seminar in the Foundations of Physics, Bunge, M. (ed.). New York: Springer Verlag.Google Scholar
Jeans, J. (1954), The Dynamical Theory of Gases. (4th ed. of Cambridge University Press 1925 edition, republished) New York: Dover.Google Scholar
Kac, M. (1959), Probability and Related Topics in Physical Sciences. New York: Interscience Publishers.Google Scholar
Khinchin, A. (1949), Mathematical Foundations of Statistical Mechanics. New York: Dover.Google Scholar
Koneig, F. (1959), “The History of the Second Law of Thermodynamics” in Men and Moments in the History of Science, Evans, H. (ed.). Seattle: University of Washington Press.Google Scholar
Landau, L. and Lifshitz, E. (1958), Statistical Physics. Reading, MA: Addison-Wesley Publishing Co.Google Scholar
Lande, A. (1953), Scientific Papers Presented to Max Born. Edinburgh: Oliver and Boyd.Google Scholar
Layzer, D. (1975), “The Arrow of Time” in Scientific American, December: 26.CrossRefGoogle Scholar
Liboff, R. (1969), Introduction to the Theory of Kinetic Equations. New York: John Wiley and Sons.CrossRefGoogle Scholar
Mehlberg, H. (1961), Physical Laws and Time's Arrow, Current Issues in the Philosophy of Science. New York: Holt, Rinehart, and Winston.Google Scholar
Mirman, R. (1975), “The Direction of Time”, Foundations of Physics 5: 491.CrossRefGoogle Scholar
Moore, W. (1972), Physical Chemistry (4th ed.). Englewood Cliffs: Prentice-Hall, Inc.Google Scholar
Morrissey, B. (1970), Irreversible Processes in Rarefield Gases. Ph.D. Thesis, Rensselaer Polytechnic Institute.Google Scholar
Morrissey, B. (1975), “Microscopic Reversibility and Detailed Balance” in Journal of Chemical Education 52: 296.CrossRefGoogle Scholar
Morse, P. (1964), Thermal Physics. New York: W. A. Benjamin.Google Scholar
Nagel, E. (1961), The Structure of Science. New York: Harcourt, Brace and World.CrossRefGoogle Scholar
Prigogine, I. (1955), Thermodynamics of Irreversible Processes. New York: Interscience Publishers.Google Scholar
Prigogine, I. (ed.) (1958), Proceedings of the International Symposium on Transport Processes in Statistical Mechanics (Brussels, 1956). New York: Interscience Publishers.Google Scholar
Prigogine, I. (1962), Non-equilibrium Statistical Mechanics. New York: Interscience Publishers.Google Scholar
Reichenbach, H. (1956), The Direction of Time. Berkeley: University of California Press.CrossRefGoogle Scholar
Rothstein, J. (1974), “Loschmidt's and Zermelo's Paradoxes Do Not Exist” in Foundations of Physics 4: 83.CrossRefGoogle Scholar
Schlegel, R. (1961), Time and the Physical World. East Lansing: Michigan State University Press.Google Scholar
Sears, F. (1956), Thermodynamics, Kinetic Theory of Gases, and Statistical Mechanics. (2nd ed.). Reading, MA: Addison-Wesley Publishing Co.Google Scholar
Sklar, L. (1973), “Statistical Explanation and Ergodic Theory” in Philosophy of Science 40: 194.CrossRefGoogle Scholar
Strauss, M. (1972), Max Planck and the Rise of Quantum Theory, Modern Physics and its Philosophy. Dordrecht, Holland: D. Reidel Publishing Co.Google Scholar
ter Haar, D. (1954), Elements of Statistical Mechanics. New York: Rinehart and Company.Google Scholar
Tolman, R. (1938), The Principles of Statistical Mechanics. New York: Oxford University Press.Google Scholar
Wannier, G. (1966), Statistical Physics. New York: John Wiley and Sons.Google Scholar
Yang, H. and Lees, L. (1960), “Raleigh Problem at Low Reynolds Number According to Kinetic Theory” in Proceedings of the First International Symposium on Rarefied Gas Dynamics. New York: Pergammon Press.Google Scholar
Zenzen, M. (1977), “Popper, Gaünbaum and de facto Irreversibility” in British Journal for Philosophy of Science 28: 313.CrossRefGoogle Scholar