Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-08T22:14:41.052Z Has data issue: false hasContentIssue false

Irreversibility and Statistical Mechanics: A New Approach?

Published online by Cambridge University Press:  01 April 2022

Robert W. Batterman*
Affiliation:
Department of Philosophy, University of Illinois at Chicago

Abstract

I discuss a broad critique of the classical approach to the foundations of statistical mechanics (SM) offered by N. S. Krylov. He claims that the classical approach is in principle incapable of providing the foundations for interpreting the “laws” of statistical physics. Most intriguing are his arguments against adopting a de facto attitude towards the problem of irreversibility. I argue that the best way to understand his critique is as setting the stage for a positive theory which treats SM as a theory in its own right, involving a completely different conception of a system's state. As the orthodox approach treats SM as an extension of the classical or quantum theories (one which deals with large systems), Krylov is advocating a major break with the traditional view of statistical physics.

Type
Research Article
Copyright
Copyright © 1990 by the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

I would like to thank Larry Sklar for valuable advice and comments on earlier versions of this work. I have also benefited from discussions with Anne Bezuidenhout, Gary Ebbs, Steve Jacobson, Jim Joyce, Jim Maffie, Joe Mendola, Peter Railton, and Bill Schmitz.

References

Brewer, R. B. and Hahn, E. L. (1984), “Atomic Memory”, Scientific American 251: 5057.CrossRefGoogle Scholar
Ehrenfest, P. and Ehrenfest, T. (1959), The Conceptual Foundations of the Statistical Approach in Mechanics. Trans. Moravesik, M. J. Ithaca: Cornell University Press.Google Scholar
Fine, T. L. (1973), Theories of Probability: An Examination of Foundations. New York: Academic Press.Google Scholar
Krylov, N. S. (1979), Works on the Foundations of Statistical Physics. Trans. Midgal, A. B., Sinai, Ya. G., and Zeeman, Y. U. Princeton: Princeton University Press.Google Scholar
Reichenbach, H. (1956), The Direction of Time. Berkeley: University of California Press.CrossRefGoogle Scholar
Rhim, W. K., Pines, A., and Waugh, J. S. (1971), “Time-Reversal Experiments in Dipolar Coupled Spin Systems”, Physical Review B 3: 684685.CrossRefGoogle Scholar
Sklar, L. (1970), “Is Probability a Dispositional Property?Journal of Philosophy LXVII. 355366.Google Scholar
Tolman, R. C. (1938), The Principles of Statistical Mechanics. Oxford: Oxford University Press.Google Scholar