Principles of Thermodynamics and Statistical Mechanics

by D. F. Lawden

• ISBN13: 9780486446479
• ISBN10: 0486446476
• Format: Paperback
• Copyright: 2005-12-10
• Publisher: Dover Publications

Summary

A thorough exploration of the universal principles of thermodynamics and statistical mechanics, this volume takes an applications-oriented approach to a multitude of situations arising in physics and engineering. Students can supplement their understanding by working through the text's numerous exercises. 1987 edition.

Table of Contents

Preface	ix
List of constants	xiii
Classical thermodynamics	1	(25)
Thermodynamics and statistical mechanics	1	(1)
Thermodynamical equilibrium	2	(1)
Zeroth law of thermodynamics	2	(2)
First law of thermodynamics. Internal energy	4	(2)
Ideal gases	6	(4)
Second law of thermodynamics. Absolute temperature	10	(5)
Entropy. Clausius's inequality	15	(2)
Illustrative problems	17	(4)
Law of increasing entropy	21	(5)
Exercises 1	23	(3)
Applications of classical theory	26	(28)
Two-parameter systems	26	(2)
Enthalpy, free energy and Gibbs function	28	(2)
Experimental characteristics for a fluid	30	(2)
Characteristics of a fluid	32	(4)
Adiabatic demagnetization	36	(2)
Thermal radiation	38	(4)
Phase equilibrium	42	(4)
Vapour-pressure curve. Clapeyron's equation	46	(3)
Gibbs' phase rule	49	(5)
Exercises 2	50	(4)
Classical statistics. Maxwell's distribution	54	(20)
Hypothesis of random states	54	(2)
The Gibbs ensemble	56	(1)
Liouville's theorem	57	(2)
Thermodynamical equilibrium	59	(2)
Maxwell-Boltzmann distribution law	61	(3)
Thermodynamics of a Maxwell gas	64	(2)
Gas of point molecules	66	(3)
Boltzmann's principle. Disorder of systems	69	(5)
Exercises 3	71	(3)
Method of mean values	74	(26)
Statistical analysis of Maxwell-Boltzmann distribution	74	(3)
Mixture of gases	77	(3)
System in a heat bath. Canonical ensemble	80	(4)
Partition functions for mixtures	84	(2)
Gas of diatomic molecules	86	(2)
Paramagnetic materials. Langevin's function	88	(2)
Additional constraints	90	(4)
Equipartition of energy. Law of Dulong and Petit	94	(3)
Entropy and information	97	(3)
Exercises 4	98	(2)
Quantum statistics	100	(19)
Quantization of phase space	100	(1)
Density matrix	101	(3)
Liouville's theorem	104	(2)
Quantum interpretation of classical theory of molecular aggregates	106	(2)
Absolute zero. Third law of thermodynamics	108	(2)
Grand canonical ensemble	110	(4)
Thermodynamics of an open system	114	(1)
Classical gas of indistinguishable molecules	115	(4)
Exercises 5	117	(2)
Crystals and magnets	119	(9)
Einstein's model for a crystal	119	(1)
Debye's model for a crystal. Phonons	120	(4)
Quantum theory of paramagnetic materials	124	(4)
Exercises 6	126	(2)
Bose-Einstein and Fermi-Dirac statistics	128	(16)
Gas of indistinguishable non-interacting molecules	128	(2)
Gas of point bosons	130	(3)
Gas of bosons with rotational energy	133	(3)
Fermion gas	136	(1)
Conduction electrons in metals	137	(2)
Photon gas	139	(5)
Exercises 7	142	(2)
Appendices	144	(5)
A. Electromagnetic field energy	144	(1)
B. Stirling's formula	145	(1)
C. Evaluation of a contour integral	146	(3)
Bibliography	149	(1)
Index	150