Elementary Principles in Statistical Mechanics

Developed with Especial Reference to the Rational Foundation of Thermodynamics
Erscheinungsjahr 2010
ISBN: 978-1-108-01702-2
Verlag: Cambridge University Press

Buch, Englisch, 232 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 333 g

Reihe: Cambridge Library Collection - Mathematics

Josiah Willard Gibbs (1839-1903) was the greatest American mathematician and physicist of the nineteenth century. He played a key role in the development of vector analysis (his book on this topic is also reissued in this series), but his deepest work was in the development of thermodynamics and statistical physics. This book, Elementary Principles in Statistical Mechanics, first published in 1902, gives his mature vision of these subjects. Mathematicians, physicists and engineers familiar with such things as Gibbs entropy, Gibbs inequality and the Gibbs distribution will find them here discussed in Gibbs' own words.

Autoren/Hrsg.

Gibbs, Josiah Willard

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Thermodynamik

Inhaltsverzeichnis

Preface
1. General notions. The principle of conservation of extension-in-phase
2. Application of the principle of conservation of extension-in-phase to the theory of errors
3. Application of the principle of conservation of extension-in-phase to the integration of the differential equations of motion
4. On the distribution-in-phase called canonical, in which the index of probability is a linear function of the energy
5. Average values in a canonical ensemble of systems
6. Extension-in-configuration and extension-in-velocity
7. Farther discussion of averages in a canonical ensemble of systems
8. On certain important functions of the energies of a system
9. The function F and the canonical distribution
10. On a distribution in phase called microcanonical in which all the systems have the same energy
11. Maximum and minimum properties of various distributions in phase
12. On the motion of systems and ensembles of systems through long periods of time
13. Effect of various processes on an ensemble of systems
14. Discussion of thermodynamic analogies
15. Systems composed of molecules.