Kinetics of first-order phase transitions:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Weinheim
Wiley-VCH
2009
|
Ausgabe: | 1. Aufl. |
Schlagworte: | |
Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
Beschreibung: | XIV, 415 S. Ill., graph. Darst. |
ISBN: | 9783527407750 |
Internformat
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CONTENTS FOREWORD XI PREFACE XIII 1 INTRODUCTION 1 2 BASIC EQUATIONS:
DETERMINATION OF THE COEFFICIENTS OF EMISSION IN NUCLEATION THEORY 7 2.1
INTRODUCTION 7 2.2 BASIC KINETIC EQUATIONS 9 2.3 RATIO OF THE
COEFFICIENTS OF ABSORPTION AND EMISSION OF PARTICLES 10 2.3.1
TRADITIONAL APPROACH 11 2.3.2 A NEW METHOD OF DETERMINATION OF THE
COEFFICIENTS OF EMISSION 16 2.3.3 APPLICATIONS 22 2.4 GENERALIZATION TO
MULTICOMPONENT SYSTEMS 22 2.4.1 TRADITIONAL APPROACH 23 2.4.2 NEW
APPROACH 24 2.4.3 APPLICATIONS 25 2.5 GENERALIZATION TO ARBITRARY
BOUNDARY CONDITIONS 26 2.6 INITIAL CONDITIONS FOR THE CLUSTER-SIZE
DISTRIBUTION FUNCTION 28 2.7 DESCRIPTION OF CLUSTER ENSEMBLE EVOLUTION
ALONG A GIVEN TRAJECTORY . 30 2.7.1 MOTIVATION 30 2.7.2 EFFECTIVE
DIFFUSION COEFFICIENTS 31 2.7.3 EVOLUTION OF THE CLUSTER-SIZE
DISTRIBUTION FUNCTIONS 36 2.8 CONCLUSIONS 37 3 KINETICS OF
NUCLEATION-GROWTH PROCESSES: THE FIRST STAGES 39 3.1 INTRODUCTION 39 3.2
BASIC KINETIC EQUATIONS 41 3.3 NONSTEADY-STATE EFFECTS IN THE INITIAL
STAGE OF NUCLEATION 46 3.3.1 APPROXIMATIVE SOLUTION IN THE RANGE 1 N
N C * SN C 47 3.3.2 TIME SCALE OF ESTABLISHMENT OF STEADY-STATE
CLUSTER-SIZE DISTRIBUTIONS IN THE RANGE 1 N BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/992627087 DIGITALISIERT DURCH VI CONTENTS
3.3.4 STEADY-STATE NUCLEATION RATE AND STEADY-STATE CLUSTER-SIZE
DISTRIBUTION IN THE RANGE 1 N N C + SN C 51 3.4 FLUX AND CLUSTER
DISTRIBUTIONS IN THE RANGE OF SUPERCRITICAL CLUSTER SIZES 54 3.4.1
RESULTS IN THE RANGE N C N 8N C 55 3.4.2 RESULTS IN THE RANGE N 8N
C 57 3.5 TIME INTERVAL FOR STEADY-STATE NUCLEATION 65 3.5.1 KINETICALLY
LIMITED GROWTH 66 3.5.2 DIFFUSION-LIMITED GROWTH 68 3.5.3
NONSTEADY-STATE TIME LAG AND THE TIME SCALE OF STEADY-STATE NUCLEATION
68 3.6 FURTHER BASIC CHARACTERISTICS OF NUCLEATION-GROWTH PROCESSES 69
3.6.1 NUMBER OF CLUSTERS FORMED BY NUCLEATION 69 3.6.2 AVERAGE SIZE OF
THE CLUSTERS 70 3.6.3 TIME INTERVAL OF INDEPENDENT GROWTH 71 3.7 TIME OF
STEADY-STATE NUCLEATION AND INDUCTION TIME 73 3.8 FORMATION OF A NEW
PHASE WITH A GIVEN STOICHIOMETRIC COMPOSITION . . 76 3.8.1 THE MODEL 76
3.8.2 BASIC EQUATIONS 76 3.8.3 APPLICATIONS 81 3.9 SUMMARY OF RESULTS 86
3.9.1 RESULTS FOR THE RANGE OF CLUSTER SIZES N N C 86 3.9.2 RESULTS
FOR THE RANGE OF CLUSTER SIZES N N C 87 3.9.3 INTEGRAL CHARACTERISTICS
OF THE NUCLEATION-GROWTH PROCESS 89 3.1 CONTENTS VII 4.3.3 REGIONS OF
PHASE COEXISTENCE IN COMPOSITION SPACE 152 4.3.4 COMPETITION OF
DIFFERENT PHASES IN COARSENING 156 4.3.5 FORMATION OF PRECIPITATES OF
NONSTOICHIOMETRIC COMPOSITION 161 4.3.6 COMPARISON WITH EXPERIMENTAL
DATA 163 4.3.7 CONCLUSIONS 165 5 SHAPES OF CLUSTER-SIZE DISTRIBUTIONS
EVOLVING IN NUCLEATION AND GROWTH PROCESSES 171 5.1 INTRODUCTION 171 5.2
ANALYSIS OF STATISTICAL APPROACHES: "EQUILIBRIUM DISTRIBUTION" OF
CLASSICAL NUCLEATION THEORY, FISHER'S DROPLET, AND SIMILAR MODELS 172
5.3 THERMODYNAMIC APPROACH: ON THE POSSIBILITY OF EVOLUTION OF MONODIS-
PERSE CLUSTER-SIZE DISTRIBUTIONS 175 5.4 DYNAMICAL APPROACH 178 5.4.1
BASIC KINETIC EQUATIONS: GENERAL EXPRESSION 178 5.4.2 DETERMINATION OF
THE COEFFICIENTS OF EMISSION 179 5.4.3 DETERMINATION OF THE COEFFICIENTS
OF AGGREGATION 181 5.4.4 DESCRIPTION OF GROWTH PROCESSES OF CLUSTERS 181
5.4.5 APPLICATION TO THE DESCRIPTION OF NUCLEATION 184 5.4.6 BASIC
KINETIC EQUATIONS FOR DIFFERENT IMPORTANT GROWTH MECHANISMS . . 185 5.5
NUMERICAL SOLUTION OF THE KINETIC EQUATIONS 187 5.5.1 PRECIPITATION IN A
PERFECT SOLUTION 187 5.5.2 EFFECT OF NONLINEAR INHIBITION OF CLUSTER
GROWTH ON THE SHAPE OF THE CLUSTER-SIZE DISTRIBUTIONS 192 5.5.3
APPLICATION OF FISHER'S EXPRESSION FOR THE WORK OF CLUSTER FORMATION . .
196 5.6 SELECTED APPLICATIONS AND CONCLUSIONS 198 5.7 DISCUSSION 201 6
COARSENING UNDER THE INFLUENCE OF ELASTIC STRESSES AND IN POROUS
MATERIALS 203 6. VIH CONTENTS 6.6 INFLUENCE OF STOCHASTIC EFFECTS ON
COARSENING IN POROUS MATERIALS . 224 6.7 DISCUSSION 225 7 CLUSTER
FORMATION AND GROWTH IN SEGREGATION PROCESSES AT GIVEN INPUT FLUXES OF
MONOMERS AND UNDER THE INFLUENCE OF RADIATION 227 7.1 INTRODUCTION 227
7.2 COARSENING WITH INPUT FLUXES OF RAW MATERIAL 228 7.2.1 PRELIMINARY'
ESTIMATES 228 7.2.2 BASIC KINETIC EQUATIONS 230 7.2.3 RESULTS OF THE
NUMERICAL SOLUTION OF THE KINETIC EQUATIONS 232 7.2.4 DISCUSSION 235 7.3
VOID RIPENING IN THE PRESENCE OF BULK VACANCY SOURCES 237 7.3.1
INTRODUCTION 237 7.3.2 BASIC EQUATIONS 237 7.3.3 DAMPED SOURCES 239
7.3.4 UNDAMPED SOURCES 243 7.3.5 CONCLUSIONS 247 7.4 GROWTH AND
SHRINKAGE OF PRECIPITATES UNDER IRRADIATION 247 7.4.1 INTRODUCTION 247
7.4.2 DIFFUSION MECHANISM OF RADIATION-INDUCED SHRINKAGE OF THE
PRECIPITATES 248 7.4.3 EFFECT OF THE PRECIPITATE INCOHERENCE AND THE
SOLUTE ATOM TRANSITION INTO THE INTERSTITIAL SITES AND BACK IN THE
LATTICE SITES 251 7.4.4 THE CASE OF INCOHERENT PRECIPITATION 255 7.4.5
CONCLUSION 256 8 FORMATION OF A NEWLY EVOLVING PHASE WITH A GIVEN
STOICHIOMETRIC COMPOSITION 257 8.1 INTRODUCTION 257 8.2 BASIC SET OF
EQUATIONS 259 8.3 THE STAGE OF NUCLEATION OF CLUSTERS OF THE NEWLY
EVOLVING PHASE . 264 8.4 THE TRANSIENT STAGE 272 8.5 KINETIC
EQUATIONS AND THERMODYNAMIC RELATIONSHIPS ACCOUNTING FOR SOLUTE-SOLUT
CONTENTS IX 9.2.4 DISTRIBUTION FUNCTION OF BUBBLES IN THE RANGE N C N
N 300 9.2.5 DISTRIBUTION FUNCTION OF BUBBLES IN THE RANGE N N 302
9.3 THE INTERMEDIATE STAGE 307 9.4 THE LATE STAGE 314 9.5 RESULTS OF
NUMERICAL COMPUTATIONS 322 9.6 CONCLUSIONS 325 9.A APPENDICES 326 9.A. 1
SOME MATHEMATICAL TRANSFORMATIONS 326 9.A.2 ESTIMATION OF THE CONDITIONS
WHEN MERGING OF COLLIDING BUBBLES CAN BE NEGLECTED 327 10 PHASE
SEPARATION IN SOLID 3 HE- 4 HE MIXTURES 329 10.1 INTRODUCTION 329 10.2
HOMOGENEOUS NUCLEATION IN MIXTURES: THEORY 331 10.3 HOMOGENEOUS
NUCLEATION IN 3 HE- 4 HE SOLID SOLUTIONS: EXPERIMENT AND COMPARISON WITH
THEORY 334 10.3.1 SPIN ECHOES IN RESTRICTED GEOMETRY AND CLUSTER SIZES
334 10.3.2 EXPERIMENTAL DETAILS 335 10.3.3 RESULTS AND DISCUSSION 337
10.3.4 CONCLUSION 339 10.4 KINETICS OF PHASE TRANSITION IN SOLID
SOLUTIONS OF 4 HE IN 3 HE AT DIFFERENT DEGREES OF SUPERSATURATION 339
10.4.1 EXPERIMENTAL RESULTS 339 10.4.2 DISCUSSION 340 10.4.3 CONCLUSION
345 10.5 INFLUENCE OF THE DEGREE OF SUPERCOOLING ON THE KINETICS OF
PHASE SEPARATION I X CONTENTS 11.5.3 TRANSITION FROM INDEPENDENT CLUSTER
GROWTH TO COARSENING 392 11.6 RESULTS AND DISCUSSION 395 REFERENCES 399
INDEX 413 |
any_adam_object | 1 |
author | Slezov, Vitalij V. |
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dewey-search | 530.414 |
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dewey-tens | 530 - Physics |
discipline | Chemie / Pharmazie Physik |
edition | 1. Aufl. |
format | Book |
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spelling | Slezov, Vitalij V. Verfasser (DE-588)138692661 aut Kinetics of first-order phase transitions Vitaly V. Slezov 1. Aufl. Weinheim Wiley-VCH 2009 XIV, 415 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Phasenumwandlung erster Ordnung - Kinetik Phase transformations (Statistical physics) Kinetik (DE-588)4030665-3 gnd rswk-swf Phasenumwandlung erster Ordnung (DE-588)4259018-8 gnd rswk-swf Phasenumwandlung erster Ordnung (DE-588)4259018-8 s Kinetik (DE-588)4030665-3 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3243344&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017710927&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Slezov, Vitalij V. Kinetics of first-order phase transitions Phasenumwandlung erster Ordnung - Kinetik Phase transformations (Statistical physics) Kinetik (DE-588)4030665-3 gnd Phasenumwandlung erster Ordnung (DE-588)4259018-8 gnd |
subject_GND | (DE-588)4030665-3 (DE-588)4259018-8 |
title | Kinetics of first-order phase transitions |
title_auth | Kinetics of first-order phase transitions |
title_exact_search | Kinetics of first-order phase transitions |
title_full | Kinetics of first-order phase transitions Vitaly V. Slezov |
title_fullStr | Kinetics of first-order phase transitions Vitaly V. Slezov |
title_full_unstemmed | Kinetics of first-order phase transitions Vitaly V. Slezov |
title_short | Kinetics of first-order phase transitions |
title_sort | kinetics of first order phase transitions |
topic | Phasenumwandlung erster Ordnung - Kinetik Phase transformations (Statistical physics) Kinetik (DE-588)4030665-3 gnd Phasenumwandlung erster Ordnung (DE-588)4259018-8 gnd |
topic_facet | Phasenumwandlung erster Ordnung - Kinetik Phase transformations (Statistical physics) Kinetik Phasenumwandlung erster Ordnung |
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