Abstract
Instead of defining entropy as proportional to the logarithm of complexion function as in the Boltzmann principle, Einstein insisted that a complexion function should be defined in terms of the entropy. It is shown explicitly for the case of particle statistics that the Boltzmann principle is an approximation to Einstein’s reversal when the entropy is the Shannon-Jaynes entropy, i. e. a Shannon entropy in an appropriate physics context.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fowler, R.H., (1966). Statistical Mechanics, 2nd Ed. (1936), Cambridge University Press.
Gamo, H., (1964). Thermodynamic Entropy of Partially Coherent Beams, J. Phys. Soc. Japan, 19, 1955–1961.
Jaynes, E.T., (1957a). Information Theory and Statistical Mechanics I, Phys. Rev. 106, 620–630.
Jaynes, E.T., (1957b). Information Theory and Statistical Mechanics II, Phys. Rev. 108, 171–190.
Jaynes, E.T., (1983). Papers on Probability, Statistics and Statistical Physics, edited by R.D. Rosenkrantz, D. Reidl Publ. Co.
Khinchin, A.Y., (1960). Mathematical Foundations of Quantum Statistics, Greylock Press.
Klauder, J.R. and Sudarshan, E.C.G., (1968). Fundamentals of Quantum Optics, W.A. Benjamin, Inc. (N.Y.), ch. 5.
Pais, A., (1982). ‘Subtle is the Lord…’, Oxford University Press, ch.4.
Rajagopal, A.K. and Teitler, S., (1987). Particle occupation factors without large numbers’ approximation, Physica in press.
Shannon, C.E., (1948). A Mathematical Theory of Communication, Bell Syst. Tech. J. 27, 379–423.
Sommerfeld, A., (1956). Thermodynamics and Statistical Mechanics, Academic Press, N.Y.
Tribus, M., (1987). An Engineer Looks at Bayes, these proceedings.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Kluwer Academic Publishers
About this chapter
Cite this chapter
Rajagopal, A.K., Teitler, S. (1988). Einstein’s Reversal of the Boltzmann Principle and Particle Statistics. In: Erickson, G.J., Smith, C.R. (eds) Maximum-Entropy and Bayesian Methods in Science and Engineering. Fundamental Theories of Physics, vol 31-32. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9054-4_7
Download citation
DOI: https://doi.org/10.1007/978-94-010-9054-4_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-9056-8
Online ISBN: 978-94-010-9054-4
eBook Packages: Springer Book Archive