Abstract
In this chapter, we introduce the subjects to be treated in terms of statistical mechanics. The principles of statistical mechanics, the topics of Chap. 2, are well established for the equilibrium state, while the kinetic theory of gases was developed to interpret the thermal properties of matter in the bulk. Though we will not be involved in kinetic theory in this chapter, we will clarify some important relations which can be derived by the use of averages with respect to configuration and motion of molecules.
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
L. Boltzmann: Vorlesungen über Gastheorie, 2 Bde. (J.A. Barth, Leipzig 1912), English transi. by S.G. Brush: Lectures on Gas Theory (Univ. of California Press 1964)
J.W. Gibbs: Elementary Principles in Statistical Mechanics (Yale Univ. Press 1902, reprint Dover)
P. Ehrenfest, T. Ehrenfest: The Conceptional Foundations of the Statistical Approach in Mechanics [transi. by M.J. Moravcsik](Cornell Univ. Press 1959), Enzyklopädie der mathematischen Wissenschaften, Bd. 4 Art 32 (1911)
A. Einstein: Investigations on The Theory of the Brownian Motion, ed. by R. Furth (transi. by A.D. Cowper, Dover 1956)
P. Jordan: Statistische Mechanik auf Quantenmechanischer Grundlage (Vieweg Braunschweig 1933)
R.C. Tolman: The Principles of Statistical Mechanics (Oxford Univ. Press 1938)
A.I. Khinchin: Mathematical Foundations of Statistical Mechanics [transi. by G. Gamow](Dover 1949)
R. Kurth: Axiomatics of Classical Statistical Mechanics (Pergamon 1960)
O. Penrose: Foundations of Statistical Mechanics (Pergamon 1970)
R. Ruelle: Statistical Mechanics (Benjamin 1969)
E.H. Kennard: Kinetic Theory of Gases (McGraw-Hill, New York, London 1938)
The method employed here and in Sect.3.3.2 has been presented before only in Japanese by M. Toda in Recent Problems in Physics [in Japanese](Iwanami Shoten Publ. 1948)
R. Kubo, M. Toda, N. Hashitsume: Statistical Physics II, Springer Ser. Solid-State Sci, Vol. 31 (Springer, Berlin, Heidelberg, New York 1983)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Toda, M., Kubo, R., Saitô, N. (1983). General Preliminaries. In: Statistical Physics I. Springer Series in Solid-State Sciences, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96698-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-96698-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-96700-9
Online ISBN: 978-3-642-96698-9
eBook Packages: Springer Book Archive