ELECTRODYNAMICS OF CONTINUOUS MEDIA

by Landau; Pitaevskii; Lifshitz

• ISBN13: 9780750626347
• ISBN10: 0750626348
• Edition: 2nd
• Format: Paperback
• Copyright: 1984-01-01
• Publisher: Elsevier Science

Summary

Covers the theory of electromagnetic fields in matter, and the theory of macroscopic electric and magnetic properties of matter. There is a considerable amount of new material particularly on the theory of the magnetic properties of matter and the theory of optical phenomena with new chapters on spatial dispersion and non-linear optics.

Table of Contents

Preface to the second edition	ix
Preface to the first English edition	xi
Notation	xii
I. ELECTROSTATICS OF CONDUCTORS
The electrostatic field of conductors	1	(2)
The energy of the electrostatic field of conductors	3	(5)
Methods of solving problems in electrostatics	8	(11)
A conducting ellipsoid	19	(10)
The forces on a conductor	29	(5)
II. ELECTROSTATICS OF DIELECTRICS
The electric field in dielectrics	34	(1)
The permittivity	35	(4)
A dielectric ellipsoid	39	(3)
The permittivity of a mixture	42	(2)
Thermodynamic relations for dielectrics in an electric field	44	(4)
The total free energy of a dielectric	48	(3)
Electrostriction of isotropic dielectrics	51	(3)
Dielectric properties of crystals	54	(4)
The sign of the dielectric susceptibility	58	(1)
Electric forces in a fluid dielectric	59	(5)
Electric forces in solids	64	(3)
Piezoelectrics	67	(7)
Thermodynamic inequalities	74	(3)
Ferroelectrics	77	(6)
Improper ferroelectrics	83	(3)
III. STEADY CURRENT
The current density and the conductivity	86	(4)
The Hall effect	90	(2)
The contact potential	92	(2)
The galvanic cell	94	(2)
Electrocapillarity	96	(1)
Thermoelectric phenomena	97	(4)
Thermogalvanomagnetic phenomena	101	(1)
Diffusion phenomena	102	(3)
IV. STATIC MAGNETIC FIELD
Static magnetic field	105	(2)
The Magnetic field of a steady current	107	(6)
Thermodynamic relations in a magnetic field	113	(3)
The total free energy of a magnetic substance	116	(2)
The energy of a system of currents	118	(3)
The self-inductance of linear conductors	121	(5)
Forces in a magnetic field	126	(3)
Gyromagnetic Phenomena	129	(1)
V. FERROMAGNETISM AND ANTIFERROMAGNETISM
Magnetic symmetry of crystals	130	(2)
Magnetic classes and space groups	132	(3)
Ferromagnets near the Curie point	135	(3)
The magnetic anisotropy energy	138	(3)
The magnetization curve of ferromagnets	141	(3)
Magnetostriction of ferromagnets	144	(3)
Surface tension of a domain wall	147	(6)
The domain Structure of ferromagnets	153	(4)
Single-domain particles	157	(2)
Orientational transitions	159	(3)
Fluctuations in ferromagnets	162	(4)
Antiferromagnets near the Curie point	166	(4)
The bicritical point for an antiferromagnet	170	(2)
Weak ferromagnetism	172	(4)
Piezomagnetism and the magnetoelectric effect	176	(2)
Helicoidal magnetic structures	178	(2)
VI. SUPERCONDUCTIVITY
The magnetic properties of superconductors	180	(2)
The superconductivity current	182	(3)
The critical field	185	(4)
The intermediate state	189	(5)
Structure of the intermediate state	194	(5)
VII. QUASI-STATIC ELECTROMAGNETIC FIELD
Equations of the quasi-static field	199	(2)
Depth of penetration of a magnetic field into a conductor	201	(7)
The skin effect	208	(2)
The complex resistance	210	(4)
Capacitance in a quasi-steady current circuit	214	(3)
Motion of a conductor in a magnetic field	217	(5)
Excitation of currents by acceleration	222	(3)
VIII. MAGNETOHYDRODYNAMICS
The equations of motion for a fluid in a magnetic field	225	(3)
Dissipative processes in magnetohydrodynamics	228	(2)
Magnetoydrodynamic flow between parallel planes	230	(2)
Equilibrium configurations	232	(3)
Hydromagnetic waves	235	(5)
Conditions at discontinuities	240	(1)
Tangential and rotational discontinuities	240	(5)
Shock waves	245	(1)
Evolutionary shock waves	245	(8)
The turbulent dynamo	253	(4)
IX. THE ELECTROMAGNETIC WAVE EQUATIONS
The field equations in a dielectric in the absence of dispersion	257	(3)
The electrodynamics of moving dielectrics	260	(4)
The dispersion of the permittivity	264	(3)
The permittivity at very high frequencies	267	(1)
The dispersion of the magnetic permeability	268	(4)
The field energy in dispersive media	272	(4)
The stress tensor in dispersive media	276	(3)
The analytical properties of ε(ω)	279	(4)
A plane monochromatic wave	283	(3)
Transparent media	286	(4)
X. THE PROPAGATION OF ELECTROMAGNETIC WAVES
Geometrical optics	290	(3)
Reflection and refraction of electromagnetic waves	293	(7)
The surface impedance of metals	300	(4)
The propagation of waves in an inhomogeneous medium	304	(4)
The reciprocity principle	308	(2)
Electromagnetic oscillations in hollow resonators	310	(3)
The propagation of electromagnetic waves in waveguides	313	(6)
The scattering of electromagnetic waves by small particles	319	(3)
The absorption of electromagnetic waves by small particles	322	(1)
Diffraction by a wedge	323	(4)
Diffraction by a plane screen	327	(4)
XI. ELECTROMAGNETIC WAVES IN ANISOTROPIC MEDIA
The permittivity of crystals	331	(8)
A plane wave in an anisotropic medium	339	(1)
Optical properties of uniaxial crystals	339	(2)
Biaxial crystals	341	(6)
Double refraction in an electric field	347	(1)
Magnetic--optical effects	347	(8)
Mechanical--optical effects	355	(3)
XII. SPATIAL DISPERSION
Spatial dispersion	358	(4)
Natural optical activity	362	(4)
Spatial dispersion in optically inactive media	366	(1)
Spatial dispersion near an absorption line	367	(5)
XIII. NON-LINEAR OPTICS
Frequency transformation in non-linear media	372	(2)
The non-linear permittivity	374	(4)
Self-focusing	378	(5)
Second-harmonic generation	383	(5)
Strong electromagnetic waves	388	(3)
Stimulated Raman scattering	391	(3)
XIV. THE PASSAGE OF FAST PARTICLES THROUGH MATTER
Ionization losses by fast particles in matter: the non-relativistic case	394	(5)
Ionization losses by fast particles in matter: the relativistic case	399	(7)
Cherenkov radiation	406	(2)
Transition radiation	408	(5)
XV. SCATTERING OF ELECTROMAGNETIC WAVES
The general theory of scattering in isotropic media	413	(6)
The principle of detailed balancing applied to scattering	419	(3)
Scattering with small change of frequency	422	(6)
Rayleigh scattering in gases and liquids	428	(5)
Critical opalescence	433	(2)
Scattering in liquid crystals	435	(1)
Scattering in amorphous solids	436	(3)
XVI. DIFFRACTION OF X-RAYS IN CRYSTALS
The general theory of X-ray diffraction	439	(6)
The integral intensity	445	(2)
Diffuse thermal scattering of X-rays	447	(2)
The temperature dependence of the diffraction cross-section	449	(3)
Appendix	452	(3)
Index	455