THE PHYSICS OF STRUCTURAL PHASE TRANSITIONS

By THOMAS LEE

CONTENTS PART I BASIC CONCEPTS THERMODYNAMICAL PRINCIPLES AND THE LANDAU THEORY INTRODUCTION PHASE EQUILIBRIA IN ISOTROPIC SYSTEMS PHASE DIAGRAMS AND METASTABLE STATES THE VAN DER WAALS EQUATION OF STATE SECOND-ORDER PHASE TRANSITIONS AND THE LANDAU THEORY THE EHRENFEST CLASSI?CATION THE LANDAU THEORY SUSCEPTIBILITIES AND THE WEISS FIELD SUSCEPTIBILITY OF AN ORDER PARAMETER THE WEISS FIELD IN A FERROMAGNETIC DOMAIN CRITICAL ANOMALIES, BEYOND CLASSICAL THERMODYNAMICS REMARKS ON CRITICAL EXPONENTS ORDER VARIABLES, THEIR CORRELATIONS AND STATISTICS: THE MEAN-FIELD THEORY ORDER VARIABLES PROBABILITIES, SHORT- AND LONG-RANGE CORRELATIONS, AND THE MEAN-FIELD APPROXIMATION PROBABILITIES THE CONCEPT OF A MEAN FIELD STATISTICAL MECHANICS OF AN ORDER-DISORDER TRANSITION THE ISING MODEL FOR SPIN-SPIN CORRELATIONS THE ROLE OF THE WEISS FIELD IN AN ORDERING PROCESS COLLECTIVE MODES OF PSEUDOSPINS IN DISPLACIVE CRYSTALS AND THE BORN-HUANG THEORY DISPLACIVE CRYSTALS THE LANDAU CRITERION FOR CLASSICAL FLUCTUATIONS QUANTUM-MECHANICAL PSEUDOSPINS AND THEIR CORRELATIONS THE BORN-HUANG THEORY AND STRUCTURAL ORDERING IN CRYSTALS COLLECTIVE PSEUDOSPIN MODES IN DISPLACIVE SYSTEMS EXAMPLES OF COLLECTIVE PSEUDOSPIN MODES STRONTIUM TITANATE AND RELATED PEROVSKITES TRIS-SACOSINE CALCIUM CHLORIDE AND RELATED CRYSTALS THE VARIATION PRINCIPLE AND THE WEISS SINGULARITY SOFT MODES, LATTICE ANHARMONICITY AND PSEUDOSPIN CONDENSATES IN THE CRITICAL REGION THE CRITICAL MODULATION THE LYDDANE-SACHS-TELLER RELATION LONG-RANGE INTERACTIONS AND THE COCHRAN THEORY THE QUARTIC ANHARMONIC POTENTIAL IN THE CRITICAL REGION THE COWLEY THEORY OF MODE SOFTENING SYMMETRY CHANGE AT A CONTINUOUS PHASE TRANSITION OBSERVATION OF SOFT-MODE SPECTRA THE CENTRAL PEAK SYMMETRY-BREAKING FLUCTUATIONS IN BINARY PHASE TRANSITIONS MACROSCOPIC OBSERVATION OF A BINARY PHASE TRANSITION; L-ANOMALY OF THE SPECI?C HEAT DYNAMICS OF PSEUDOSPINS CONDENSATES AND THE LONG-RANGE ORDER IMPERFECTIONS IN PRACTICAL CRYSTALS THE PINNING POTENTIAL THE LIFSHITZ CONDITION FOR INCOMMENSURATE FLUCTUATIONS A PSEUDOPOTENTIAL FOR CONDENSATE LOCKING AND COMMENSURATE MODULATION PROPAGATION OF A COLLECTIVE PSEUDOSPIN MODE A HYDRODYNAMIC MODEL FOR PSEUDOSPIN PROPAGATION THE KORTEWEG-DEVRIES EQUATION GENERAL DERIVATION SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION SOLITON POTENTIALS AND THE LONG-RANGE ORDER MODE STABILIZATION BY THE ECKART POTENTIAL PART II EXPERIMENTAL STUDIES DI?USE X-RAY DI?RACTION AND NEUTRON INELASTIC SCATTERING FROM MODULATED CRYSTALS MODULATED CRYSTALS THE BRAGG LAW OF X-RAY DI?RACTION DI?USE DI?RACTION FROM WEAKLY MODULATED CRYSTALS THE LAUE FORMULA AND DI?USE DI?RACTION FROM PEROVSKITES NEUTRON INELASTIC SCATTERING LIGHT SCATTERING AND DIELECTRIC STUDIES ON STRUCTURAL PHASE TRANSITIONS RAMAN SCATTERING STUDIES ON STRUCTURAL TRANSITIONS RAYLEIGH AND BRILLOUIN SCATTERINGS DIELECTRIC RELAXATION DIELECTRIC SPECTRA IN THE FERROELECTRIC PHASE TRANSITION OF TSCC THE SPIN-HAMILTONIAN AND MAGNETIC RESONANCE SPECTROSCOPY PRINCIPLES OF MAGNETIC RESONANCE AND RELAXATION MAGNETIC RESONANCE SPECTROMETERS THE CRYSTALLINE POTENTIAL THE ZEEMAN ENERGY AND THE G TENSOR THE FINE STRUCTURE HYPER?NE INTERACTIONS AND FORBIDDEN TRANSITIONS MAGNETIC RESONANCE SAMPLING AND NUCLEAR SPIN RELAXATION STUDIES ON MODULATED CRYSTALS PARAMAGNETIC PROBES IN A MODULATED CRYSTAL THE SPIN-HAMILTONIAN IN MODULATED CRYSTALS THE G TENSOR ANOMALY THE HYPER?NE STRUCTURE ANOMALY THE FINE-STRUCTURE ANOMALY STRUCTURAL PHASE TRANSITIONS IN TSCC AND BCCD CRYSTALS AS STUDIED BY PARAMAGNETIC RESONANCE SPECTRA THE FERROELECTRIC PHASE TRANSITION IN TSCC CRYSTALS STRUCTURAL PHASE TRANSITIONS IN BCCD CRYSTALS NUCLEAR QUADRUPOLE RELAXATION IN INCOMMENSURATE PHASES STRUCTURAL PHASE TRANSITIONS IN MISCELLANEOUS SYSTEMS 10 1 CELL-DOUBLING TRANSITIONS IN OXIDE PEROVSKITES 10 2 THE INCOMMENSURATE PHASE IN ?-THORIUM TETRABROMIDE 10 3 PHASE TRANSITIONS IN DEUTERATED BIPHENYL CRYSTALS 10 4 SUCCESSIVE PHASE TRANSITIONS IN A2BX4 FAMILY CRYSTALS 10 5 INCOMMENSURATE PHASES IN RBH3(SEO3)2 AND RELATED CRYSTALS 10 6 PHASE TRANSITIONS IN (NH4)2SO4 AND NH4ALF4 10 7 PROTON ORDERING IN HYDROGEN-BONDED CRYSTALS EPILOGUE

ISBN978-93-7769-847-8
Copyright Year2027
Pages267
Price$265.99
LanguageEnglish
FormatPDF
CategoryPHYSICS