Abstract
The goal of this chapter is to show how mechanics problems with a very large number of variables can be reduced to the solution of a single linear partial differential equation, albeit one with many independent variables. Furthermore, under conditions that define a thermal equilibrium, the solution of this partial differential equation can be written down explicitly.
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
7.7. Bibliography
L.C. Evans,Entropy and Partial Differential Equations, Lecture notes, UC Berkeley Mathematics Department, 1996.
E.T. Jaynes, Papers on Probability, Statistics and Statistical Physics, Kluwer, Boston, 1983.
L. Kadanoff, Statistical Physics: Statics, Dynamics, and Renormalization, World Scientific, Singapore, 1999.
J. Lebowitz, H. Rose, and E. Speer, Statistical mechanics of nonlinear Schroedinger equations, J. Stat. Phys. 54 (1988), pp. 657–687.
A. Sommerfeld, Thermodynamics and Statistical Mechanics, Academic Press, New York, 1964.
C. Thompson, Mathematical Statistical Mechanics, Princeton University Press, Princeton, NJ, 1972.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Chorin, A.J., Hald, O.H. (2013). Statistical Mechanics. In: Stochastic Tools in Mathematics and Science. Texts in Applied Mathematics, vol 58. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6980-3_7
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6980-3_7
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6979-7
Online ISBN: 978-1-4614-6980-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)