Abstract
The definitions of statistical probability offered by Boltzmann, Gibbs, Hilbert, and Enskog are criticized within the framework of classical statistics. A new definition, which avoids all the shortcomings of previous definitions and in the limit follows from the quantum-statistical definition, is proposed.
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References
L. Boltzmann, Lectures on the Theory of Gases [Russian translation], Moscow, 1953.
C. Schaefer, Theory of Heat, pt. II [Russian translation], §47, eqs. (240), (222), and (236a), GTTI, 1933.
O. Sackur, Ann. d. Phys.,36, 958, 1911; 40,67, 1913; H. Tetrode, Ann. d. Phys.,38, 434, 1912.
The Collected Works of J. W. Gibbs, 1, 166, 1928.
C. Schaefer, Theory of Heat, pt. II [Russian translation], §§39, 46, GTTI, 1933.
H. A. Lorentz, Statistical Theories in Thermodynamics [Russian translation], p. 17, 126, ONTI, 1935.
M. Planck, Theory of Heat Radiation [Russian translation], p. 186, ONTI, 1935.
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Kostarev, A.I. Redefinition of statistical probability in classical boltzmanngibbs statistics. Soviet Physics Journal 10, 81–83 (1967). https://doi.org/10.1007/BF00820309
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DOI: https://doi.org/10.1007/BF00820309