Kinetic Theory (eBook)

Irreversible Processes

S. G. Brush (Autor)

D. ter Haar (Herausgeber)

eBook Download: PDF

2016 | 1. Auflage
262 Seiten
Elsevier Science (Verlag)
9781483155937 (ISBN)

Infos

Kinetic Theory, Volume 2: Irreversible Processes compiles the fundamental papers on the kinetic theory of gases. This book comprises the two papers by Maxwell and Boltzmann in which the basic equations for transport processes in gases are formulated, as well as the first derivation of Boltzmann's 'H-theorem and problem of irreversibility. Other topics include the dynamical theory of gases; kinetic theory of the dissipation of energy; three-body problem and the equations of dynamics; theorem of dynamics and the mechanical theory of heat; and mechanical explanation of irreversible processes. This volume is beneficial to physics students in the advanced undergraduate or postgraduate level.

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Kinetic Theory, Volume 2: Irreversible Processes compiles the fundamental papers on the kinetic theory of gases. This book comprises the two papers by Maxwell and Boltzmann in which the basic equations for transport processes in gases are formulated, as well as the first derivation of Boltzmann's "e;H-theorem and problem of irreversibility. Other topics include the dynamical theory of gases; kinetic theory of the dissipation of energy; three-body problem and the equations of dynamics; theorem of dynamics and the mechanical theory of heat; and mechanical explanation of irreversible processes. This volume is beneficial to physics students in the advanced undergraduate or postgraduate level.

Inhalt

Front Cover 1
Irreversible Processes 4
Copyright Page 5
Table of Contents 8
Dedication 6
Preface 12
Part 1 14
Introduction 16
Boltzmann 18
Dissipation of Energy 20
Cultural Influence of the Dissipation of Energy 24
The Statistical Nature of the Second Law 25
The Eternal Return and the Recurrence Paradox 28
Bibliography 32
Part 2 34
CHAPTER 1. On the Dynamical Theory of Gases 36
SUMMARY 36
On the Mutual Action of Two Molecules 47
On the Mutual Action of Two Systems of Moving Molecules 50
Determination of O for Certain Laws of Force 54
On the Final Distribution of Velocity among the Molecules of Two Systems acting on one another according to any Law of Force 58
Variation of Functions of the Velocity due to encounters between the Molecules 63
On the Action of External Forces on a System of Moving Molecules 65
Theory of a Medium composed of Moving Molecules 68
Transference of Quantities across a Plane Area 69
(a) Transference of Matter across a Plane—Velocity of the Fluid 70
(ß) Transference of Momentum across a Plane—System of Pressures at any point of the Fluid 71
Energy in the Medium—Actual Heat 72
(y) Transference of Energy across a Plane—Conduction of Heat 73
On the Rate of Variation of Q in an Element of Volume, Q being any property of the Molecules in that Element 73
Equation of Continuity 74
Equations of Motion (a) 75
Condition of Equilibrium of a Mixture of Gases 75
Diffusion of Gases 76
Definition of the Coefficient of Diffusion 79
1st. Equilibrium of Temperature between two Gases—Law of Equivalent Volumes 83
Cooling by Expansion 85
Specific Heat of Unit of Mass at Constant Volume 85
Specific Heat of Unit of Mass at Constant Pressure 86
Thermal Effects of Diffusion 87
Determination of the Inequality of Pressure in different Directions due to the Motion of the Medium 88
Equations of Motion corrected for Viscosity 90
Viscosity of a Mixture of Gases 93
Conduction of Heat in a Single Medium (.) 96
[Final Equilibrium of Temperature] 97
Coefficient of Conductivity 98
CHAPTER 2. Further Studies on the Thermal Equilibrium of Gas Molecules 101
SUMMARY 101
I. Consideration of Monatomic Gas Molecules 104
II. Replacement of Integrals by Sums 130
.II· Diffusion, viscosity, and heat conduction of a Gas 146
IV. Treatment of polyatomic gas molecules 155
V. The molecules do not make a large number of vibrations between one collision and the next 173
VI. Solution of equation (81) and calculation of the entropy 180
CHAPTER 3. The Kinetic Theory of the Dissipation of Energy 189
SUMMARY 189
Appendix 196
CHAPTER 4. On the Relation of a General Mechanical Theorem to the Second Law of Thermodynamics 201
SUMMARY 201
CHAPTER 5. On the Three-body Problem and the Equations of Dynamics 207
SUMMARY 207
1. Notations and definitions 207
8. Use of integral invariants 209
CHAPTER 6. Mechanism and Experience 216
SUMMARY 216
CHAPTER 7. On a Theorem of Dynamics and the Mechanical Theory of Heat 221
SUMMARY 221
CHAPTER 8. Reply to Zermelo's Remarks on the Theory of Heat 231
SUMMARY 231
Appendix 239
CHAPTER 9. On the Mechanical Explanation of Irreversible Processes 242
SUMMARY 242
CHAPTER 10. On Zermelo's Paper "On the Mechanical Explanation of Irreversible Processes" 251
SUMMARY 251
Appendix 256
Index 260

Produkt-Details

• Erscheint lt. Verlag: 27.10.2016
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• ISBN-13: 9781483155937 / 9781483155937