Abstract
Several problems concerning the fundamental principles of statistical mechanics, including the canonical ensemble theory, the supporting set of an ensemble distribution function, the correspondence to thermodynamics, irreversibility, and time evolution, are briefly discussed.
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
References
Domb, C.: Thermodynamics and statistical mechanics (in equilibrium). In: Brown L, Pippard B, Pais A (eds) Twentieth Century Physics. AIP press (1995)
Gibbs, J.W.: Elementary Principles in Statistical Mechanics. Scribner, New York (1902)
Schrödinger, E.: Statistical Thermodynamics. Cambridge University Press, Cambridge (1946)
Jaynes, E.T.: Information theory and statistical mechanics I & II. Phys. Rev. 106, 620–630; 108, 171–190 (1957)
Hilbert, S., Hänggi, P., Dunkel, J.: Phys. Rev. E 90, 062116 (2014)
Chandler, D.: Introduction to Modern Statistical Mechanics. Oxford University Press, Oxford (1987)
Bogoliubov, N.N.: J. Phys. USSR 10, 257 (1946)
Van Hove, L.: Physica 15, 951 (1949)
Yang, C.N., Lee, T.D.: Phys. Rev. 87, 404 (1952)
Fisher, M.E., Ruelle, D.: J. Math. Phys. 7, 260 (1966)
Ma, S.K.: Statistical Mechanics. World Scientific (1985)
Balescu, R.: Eqquilibrium and Nonequilibrium Statistical Mechanics. Wiley, London (1975)
Poincaré, H.: Acta Mathemutica 13, 1–270 (1890)
Fermi, E., Pasta, J., Ulam, S.: Studies of Nonlinear Problems. Document LA-1940. Los Alamos National Laboratory (1955)
Kubo, R., Toda, M., Hashitsume, N.: Statistical Physics II. Springer, Berlin (1998)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Zheng, WM. (2021). On the Foundational Principles of Statistical Mechanics. In: Liu, XY. (eds) Frontiers and Progress of Current Soft Matter Research. Soft and Biological Matter. Springer, Singapore. https://doi.org/10.1007/978-981-15-9297-3_2
Download citation
DOI: https://doi.org/10.1007/978-981-15-9297-3_2
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-9296-6
Online ISBN: 978-981-15-9297-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)