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A New Approach to Classical Statistical Mechanics
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Journal of Modern Physics·Volume 02 (2011)·Pages 1235–1241·Published 10 November 2011·DOI10.4236/jmp.2011.211153
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Abstract
A new approach to classical statistical mechanics is presented; this is based on a new method of specifying the possible “states” of the systems of a statistical assembly and on the relative frequency interpretation of probability. This approach is free from the concept of ensemble, the ergodic hypothesis, and the assumption of equal a priori probabilities.
KeywordsStatistical EquilibriumRandom SequencesCentral Limit Theorem
- J. W. Gibbs “Elementary Principles of Statistical Mechanics,” Dever, New York, 1960 (Reprint of 1902 Edition).
- R. C. Tolman, “The Principles of Statistical Mechanics,” Oxford University Press, Oxford, 1938.
- D. Ter Haar, “Foundations of Statistical Mechanics,” Reviews of Modern Physics, Vol. 27, No. 3, 1955, pp. 289-338. doi:10.1103/RevModPhys.27.289
- D. Chandler, “Introduction to Modern Statistical Mechanics,” Oxford University Press, Oxford, 1987.
- R. von Mises, “Mathematical Theory of Probability and Statistics,” Academic Press, Waltham, 1964.
- M. R. Spigel, “Theory and Problems of Probability and Statistics,” McGraw-Hill, New York, 1992.
- R. Frigg, “Typicality and the Approach to Equilibrium in Boltzmann Statistical Mechanics,” Philosophy of Science, Vol. 76, No. 5, December 2009, pp. 997-1008.
- J. L. Lebowitz, “Statistical Mechanics,” In: H. Stroke, Ed., The First Hundred Years, The Physical Review, AJP Publication, New York, 1995, pp. 465-471.
- H. O. Georgii, “The Equivalence of Ensembles for Classical Systems of Particles,” Journal of Statistical Physics, Vol. 80, No. 5-6, 1995, pp. 1341-1378. doi:10.1007/BF02179874