Elementary Principles in Statistical Mechanics: Developed with Especial Reference to the Rational Foundation of Thermodynamics (Collected Works, vol.2)

Preface......Page 6
Contents......Page 12
Chapter I. General notions. The principle of conservation of extension-in-phase......Page 20
Chapter II. Application of the principle of conservation of extension-in-phase to the theory of errors......Page 37
Chapter III. Application of the principle of conservation of extension-in-phase to the integration of the differential equations of motion......Page 43
Chapter IV. On the distribution-in-phase callbd canonical, in which the index of probability is a linear function of the energy......Page 49
Chapter V. Average values in a canonical ensemble of systems......Page 63
Chapter VI. Extension in configuration and extension in velocity......Page 74
Chapter VII. Farther discussion of averages in a canonical ensemble of systems......Page 85
Chapter VIII. On certain important functions of the energies of a system......Page 104
Chapter IX. The function ϕ and the canonical distribution......Page 117
Chapter X. On a distribution in phase called microcanonical in which all the systems have the same energy......Page 132
Chapter XI. Maximum and minimum properties of various distributions in phase......Page 146
Chapter XII. On the motion of systems and ensembles of systems through long periods of time......Page 156
Chapter XIII. Effect of various processes on an ensemble of systems......Page 169
Chapter XIV. Discussion of thermodynamic analogies......Page 182
Chapter XV. Systems composed of molecules......Page 204