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Elementary Principles in Statistical Mechanics
J. Willard Gibbs
- 224 Seiten
- English
- ePUB (handyfreundlich)
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Elementary Principles in Statistical Mechanics
J. Willard Gibbs
Ăber dieses Buch
Written by J. Willard Gibbs, the most distinguished American mathematical physicist of the nineteenth century, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The lucid, advanced-level text remains a valuable collection of fundamental equations and principles.
Topics include the general problem and the fundamental equation of statistical mechanics, the canonical distribution of the average energy values in a canonical ensemble of systems, and formulas for evaluating important functions of the energies of a system. Additional discussions cover maximum and minimal properties of distribution in phase, a valuable comparison of statistical mechanics with thermodynamics, and many other subjects.
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Inhaltsverzeichnis
- Cover
- Title Page
- Copyright Page
- Preface
- Contents
- Chapter I. General Notions. The Principle of Conservation of ExtensionâInâPhase.
- Chapter II. Application of the Principle of Conservation of ExtensionâInâPhase to the Theory of Errors.
- Chapter III. Application of the Principle of Conservation of ExtensionâInâPhase to the Integration of the Differential Equations of Motion.
- Chapter IV. On the DistributionâInâPhase Called Canonical, in which the Index of Probability is a Linear Function of the Energy.
- Chapter V. Average Values in a Canonical Ensemble Of Systems.
- Chapter VI. ExtensionâInâConfiguration and ExtensionâInâVelocity.
- Chapter VII. Farther Discussion of Averages in a Canonical Ensemble of Systems.
- Chapter VIII. On Certain Important Functions of the Energies of a System.
- Chapter IX. The Function Ï and the Canonical Distribution.
- Chapter X. On a Distribution in Phase Called Microcanonical in which all the Systems have the Same Energy.
- Chapter XI. Maximum and Minimum Properties of Various Distributions in Phase.
- Chapter XII. On the Motion of Systems and Ensembles of Systems through Long Periods of Time.
- Chapter XIII. Effect of Various Processes on an Ensemble of Systems.
- Chapter XIV. Discussion of Thermodynamic Analogies.
- Chapter XV. Systems Composed of Molecules.