Elementary Principles in Statistical Mechanics
Developed with Especial Reference to the Rational Foundation of Thermodynamics
Published on 16. September 2010
Book
Paperback/Softback
232 pages
978-1-108-01702-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 216 mm
Width: 140 mm
Thickness: 14 mm
Weight
333 gr
ISBN-13
978-1-108-01702-2 (9781108017022)
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Schweitzer Classification
Content
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 ? 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.