The collected works, Volume II

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Author(s): J. Willard Gibbs
Publisher: Yale University
Year: 1948

Language: English

Title page
PART ONE
Preface
Contents (detailed)
ELEMENTARY PRINCIPLES IN STATISTICAL MECHANICS
CHAPTER I. GENERAL NOTIONS. THE PRINCIPLE OF CONSERVATION OF EXTENSION-IN-PHASE
CHAPTER II. APPLICATION OF THE PRINCIPLE OF CONSERVATION OF EXTENSION-lN-PHASE TO THE THEORY OF ERRORS
CHAPTER III. APPLICATION OF THE PRINCIPLE OF CONSEHVATION OF EXTENSION-IN-PHASE TO THE INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF MOTION.
CHAPTER IV. ON THE DISTRIBUTION-IN-PHASE CALLED CANONICAL, IN WHICH THE INDEX OF PROBABILITY 1S A LINEAR FUNCTION OF THE ENERGY
CHAPTER V. AVERAGE VALUES IN A CANONICAL ENSEMBLE OF SYSTEMS
CHAPTER VI. EXTENSION-IN-CONFIGURATION AND EXTENSION-IN-VELOCITY
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 φ 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
PART TWO
Contents (detailed)
DYNAMICS
I. ON THE FUNDAMENTAL FORMULAE OF DVNAMICS
II. ON THE FUNDAMENTAL FORMULA OF STATISTICAL MECHANICS WITH APPLICATIONS TO ASTRONOMY AND THERMODYNAMICS (ABSTRACT)
VECTOR ANALYSIS AND MULTIPLE ALGEBRA
III. ELEMENTS OF VECTOR ANALYSIS, ARRANGED FOR THE USE OF STUDENTS lN PHYSICS
IV. ON MULTIPLE ALGEBRA. VICE-PRESIDENT'S ADDRESS BEFORE THE AMERICAN ASSOCIATION FOR THE ADVANOEMENT OF SCIENCE
V. ON THE DETERMINATION OF ELLIPTIO ORBITS FROM THREE COMPLETE OBSERVATIONS
VI. ON THE USE OF THE VEOTOR METHOD lN THE DETERMINATION OF ORBITS. LETTER TO THE EDITOR OF KLINKERFUES' "THEORETISOHE ASTRONOMIE,"
VII. ON THE RÔLE OF QUATERNIONS lN THE ALGEBRA OF VECTORS
VIII. QUATERNIONS AND THE "AUSDEHNUNGSLEHRE,"
IX. QUATERNIONS AND THE ALGEBRA OF VECTORS
X. QUATERNIONS AND VEOTOR ANALYSIS
THE ELECTROMAGNETIC THEORY OF LIGHT
XI. ON DOUBLE REFRACTION AND THE DISPERSION OF COLORS IN PERFECTLY TRANSPARENT MEDIA
XII. ON DOUBLE REFRACTION lN PERFECTLY TRANSPARENT MEDIA WHICH EXHIBIT THE PHENOMENA OF CIRCULAR POLARIZATION
XIII. ON THE GENERAL EQUATIONS OF MONOCHROMATIC LIGHT lN MEDIA OF EVERY DEGREE OF TRANSPARENCY
XIV. A COMPARISON OF THE ELASTIC AND THE ELECTRICAL THEORIES OF LIGHT WITH RESPECT TO THE LAW OF DOUBLE REFRACTION AND THE DISPERSION OF COLORS
XV. A COMPARISON OF THE ELECTRIC THEORY OF LIGHT AND SIR WILLIAM THOMSON'S THEORY OF A QUASI-LABILE ETHER
MISCELLANEOUS PAPERS
XVI. REVIEWS OF NEWCOMB AND MICHELSON'S "VELOCITY OF LIGHT IN AIR AND REFRACTING MEDIA" AND OF KETTELER'S "THEORETISCHE OPTIK"
XVII. ON THE VELOCITY OF LIGHT AS DETERMINED BY FOUCAULT'S REVOLVING MIRROR
XVIII. VELOCITY OF PROPAGATION OF ELECTROSTATIC FORCE
XIX. FOURIER'S SERIES
XX. RUDOLF JULIUS EMANUEL OLAUSIUS
XXI. HUBERT ANSON NEWTON