The physics of phase transitions: concepts and applications
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English French |
| Published: |
Berlin [u.a.]
Springer
2006
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| Edition: | 2. rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 409 S. graph. Darst. |
| ISBN: | 3540333894 9783540333890 |
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| 100 | 1 | |a Papon, Pierre |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Physique des transitions de phases |
| 245 | 1 | 0 | |a The physics of phase transitions |b concepts and applications |c P. Papon ; J. Leblond ; P. H. E. Meijer |
| 250 | |a 2. rev. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2006 | |
| 300 | |a XVI, 409 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
1 Thermodynamics and Statistical Mechanics of Phase
Transitions 1
1.1 What is a Phase Transition? 1
1.2 Thermodynamic Description of Phase Transitions 4
1.2.1 Stability and Transition Gibbs Duhem Criterion.... 4
1.2.2 Phase Diagrams 8
1.2.3 Thermodynamic Classification of Phase Transitions ... 13
1.3 General Principles of Methods of Investigating
Phase Transitions 17
1.3.1 Calculation of Thermodynamic Potentials
and Quantities 18
1.3.2 Equation of State 22
1.3.3 Dynamic Aspects Fluctuations 22
1.4 The Broad Categories of Phase Transitions 25
1.4.1 Transitions with a Change in Structure 26
1.4.2 Transitions with No Change in Structure 28
1.4.3 Non Equilibrium Transitions 29
1.5 The Major Experimental Methods
for Investigation of Phase Transitions 30
1.6 The Broad Categories of Applications of Phase Transitions . . 31
1.7 Historical Aspect: from the Ceramics
of Antiquity to Nanotechnologies 32
Problems 35
2 Dynamics of Phase Transitions 37
2.1 A Large Variety of Mechanisms 37
2.2 Nucleation 38
2.2.1 The Diffusion Phenomenon Fick s Law 38
2.2.2 Diffusion Coefficient and Activation Energy 39
2.2.3 Nucleation of a New Phase 40
2.2.4 Nucleation Rate 46
2.2.5 Global Phase Transformation Avrami Model 51
2.3 Spinodal Decomposition 55
2.3.1 Thermodynamics of Spinodal Decomposition 56
X Contents
2.3.2 Experimental Demonstration Limitation of the Model 61
2.4 Structural Transition 64
2.4.1 Dynamics of a Structural Transition The Soft Mode . 64
2.4.2 Martensitic Transformation 66
2.5 Fractals Percolation 67
2.5.1 Fractal Structures 67
2.5.2 Percolation and Gelation 72
2.6 Dynamics of Phase Transitions
and Properties of Materials 75
3 Phase Transitions in Liquids and Solids: Solidification
and Melting 79
3.1 Ubiquitous Phenomena 79
3.2 Characterization of the Phenomena 80
3.2.1 Thermodynamic Characterization 80
3.2.2 Microscopic Approach 82
3.2.3 Delays in the Transition: Supercooling Superheating . . 84
3.2.4 Methods of Observation and Measurement 86
3.3 Melting 90
3.3.1 The Lindemann Model 90
3.3.2 The Role of Defects 92
3.3.3 Melting and Surface of Materials 95
3.4 Solidification 96
3.4.1 Theoretical Approach to Crystallization
with Intermolecular Potentials 97
3.4.2 Case of Colloids 104
3.4.3 Crystallization and Melting of Polymers 106
3.5 Crystallization, Melting, and Interface Ill
3.5.1 Surface Melting Ill
3.5.2 Size Effect on Small Particles 114
3.5.3 The Special Case of Ice 114
3.6 Very Numerous Applications 117
3.6.1 Melting Solidification in Metallurgy 118
3.6.2 Molding of Polymers 120
3.6.3 Production of Sintered Ceramics 121
4 Phase Transitions in Fluids 125
4.1 The Approach with Equations of State 125
4.2 The Liquid Gas Transition in Simple Liquids 127
4.2.1 Van der Waals Equation of State 127
4.2.2 The Law of Corresponding States 128
4.2.3 Behavior Near the Critical Point 130
4.3 Thermodynamic Conditions of Equilibrium 132
4.3.1 Liquid Gas Equilibrium 132
4.3.2 Maxwell s Rule 133
Contents XI
4.3.3 Clausius Clapeyron and Ehrenfest Equations 134
4.4 Main Classes of Equations of State for Fluids 135
4.4.1 General Principles 135
4.4.2 One Component Fluids 136
4.4.3 Variants of the van der Waals Equation 137
4.5 Metastable States: Undercooling and Overheating 139
4.5.1 Returning to Metastability 139
4.5.2 Drops and Bubbles Formation 139
4.6 Simulation of Phase Transitions 140
4.6.1 Principles 140
4.6.2 Molecular Dynamics 141
4.6.3 Monte Carlo Method 143
4.7 Mixture of Two Components 145
4.7.1 Conditions of Phase Equilibrium in a Binary Mixture . 145
4.7.2 Systems in the Vicinity of a Critical Point 146
4.7.3 Equation of State of Mixtures 147
4.7.4 Mixtures of Polymers or Linear Molecules 152
4.7.5 Binary Mixtures far from the Critical Point 155
4.7.6 Supercritical Demixing 158
4.7.7 Tricritical Points 159
5 The Glass Transition 165
5.1 Glass Formation 165
5.2 The Glass Transition 168
5.2.1 Thermodynamic Characteristics 168
5.2.2 Behavior of the Viscosity 171
5.2.3 Relaxation and Other Time Behaviors 173
5.3 The Structure of Glasses 173
5.3.1 Mode Coupling Theory 176
5.3.2 Industrial Applications 183
5.3.3 Models for Biological Systems 185
6 Gelation and Transitions in Biopolymers 189
6.1 The Gel State and Gelation 189
6.1.1 Characterization of a Gel 189
6.1.2 The Different Types of Gels 190
6.2 Properties of Gels 192
6.2.1 Thermal Properties 192
6.2.2 Mechanical Properties 193
6.3 A Model For Gelation: Percolation 196
6.3.1 The Percolation Model 197
6.4 Biopolymers Gels 200
6.4.1 An Important Gel: Gelatin 200
6.4.2 Polysaccharide Gels 203
6.4.3 Modeling of the Coil 4=» Helix Transition 204
XII Contents
6.4.4 Statistical Model 205
6.5 Main Applications of Gels and Gelation 209
7 Transitions and Collective Phenomena in Solids.
New Properties 215
7.1 Transitions with Common Characteristics 215
7.2 The Order Disorder Transition in Alloys 217
7.3 Magnetism 221
7.3.1 Characterization of Magnetic States 221
7.3.2 The Molecular Field Model 222
7.3.3 Bethe Method 225
7.3.4 Experimental Results 229
7.4 Ferroelectricity 230
7.4.1 Characteristics 230
7.4.2 The Broad Categories of Ferroelectrics 231
7.4.3 Theoretical Models the Landau Model 233
7.5 Superconductivity 236
7.5.1 A Complex Phenomenon 236
7.5.2 Theoretical Models 238
7.6 Universality of Critical Phenomena 241
7.6.1 Critical Exponents and Scaling Laws 241
7.6.2 Renormalization Group Theory 243
7.7 Technological Applications 245
8 Collective Phenomena in Liquids: Liquid Crystals
and Superfluidity 251
8.1 Liquid Crystals 251
8.1.1 Partially Ordered Liquid Phases 251
8.1.2 Definition of Order in the Liquid Crystal State 252
8.1.3 Classification of Mesomorphic Phases 253
8.1.4 The Nematic Phase and its Properties 260
8.1.5 The Many Applications of Liquid Crystals 286
8.1.6 Mesomorphic Phases in Biology 290
8.2 Superfluidity of Helium 291
8.2.1 Helium 4 292
8.2.2 Superfluidity in Helium 3 301
9 Microstructures, Nanostructures and Phase Transitions . . 305
9.1 The Importance of the Microscopic Approach 305
9.2 Microstructures in Solids 306
9.2.1 Solidification and Formation of Microstructures 306
9.2.2 A Typical Example: The Martensitic Transformation . 309
9.2.3 Singular Phases: The Quasicrystals 311
9.2.4 The Special Case of Sintering in Ceramics 312
Contents XIII
9.2.5 Microstructures in Ferromagnetic, Ferroelectric,
and Superconducting Phases 316
9.3 Microstructures in Fluid Phases 324
9.3.1 Microemulsions 325
9.3.2 Colloids 326
9.4 Microstructure, Nanostructures,
and Their Implications in Materials Technology 329
10 Transitions in Thin Films 335
10.1 Monolayers at the Air Water Interface 335
10.1.1 The Role of Surfactants 335
10.1.2 Examples of Molecules Forming Monolayers 336
10.1.3 Preparation and Thermodynamics Study
of Monolayers 337
10.1.4 Phase Diagram of a Monolayer 338
10.2 Monolayer on the Surface of a Solid 343
10.3 Melting and Vitification of Thin Films 345
11 Phase Transitions under Extreme Conditions and in
Large Natural and Technical Systems 347
11.1 Phase Transitions under Extreme Conditions 347
11.1.1 Experimental Methods 347
11.1.2 Equations of State and Phase Transitions
under Extreme Conditions 349
11.1.3 Geomaterials 353
11.1.4 The Plasma State 355
11.1.5 Bose Einstein Condensates
at Extremely Low Temperature 355
11.2 The Role of Phase Transitions
in the Ocean Atmosphere System 358
11.2.1 Stability of an Atmosphere Saturated
with Water Vapor 359
11.2.2 Thermodynamic Behavior of Humid Air 363
11.2.3 Formation of Ice in the Atmosphere Melting
of Ice and Climate 366
11.3 Phase Transitions in Technical Systems 367
11.3.1 Vaporization in Heat Engines 367
11.3.2 The Cavitation Phenomenon 370
11.3.3 Boiling Regimes 371
11.3.4 Phase Transitions and Energy Storage 374
Answers to Problems 377
A. Conditions for Phase Equilibrium 391
XIV Contents
B. Percus—Yevick Equation 393
C. Renormalization Group Theory 397
Bibliography 399
Index 405
|
| adam_txt |
Contents
1 Thermodynamics and Statistical Mechanics of Phase
Transitions 1
1.1 What is a Phase Transition? 1
1.2 Thermodynamic Description of Phase Transitions 4
1.2.1 Stability and Transition Gibbs Duhem Criterion. 4
1.2.2 Phase Diagrams 8
1.2.3 Thermodynamic Classification of Phase Transitions . 13
1.3 General Principles of Methods of Investigating
Phase Transitions 17
1.3.1 Calculation of Thermodynamic Potentials
and Quantities 18
1.3.2 Equation of State 22
1.3.3 Dynamic Aspects Fluctuations 22
1.4 The Broad Categories of Phase Transitions 25
1.4.1 Transitions with a Change in Structure 26
1.4.2 Transitions with No Change in Structure 28
1.4.3 Non Equilibrium Transitions 29
1.5 The Major Experimental Methods
for Investigation of Phase Transitions 30
1.6 The Broad Categories of Applications of Phase Transitions . . 31
1.7 Historical Aspect: from the Ceramics
of Antiquity to Nanotechnologies 32
Problems 35
2 Dynamics of Phase Transitions 37
2.1 A Large Variety of Mechanisms 37
2.2 Nucleation 38
2.2.1 The Diffusion Phenomenon Fick's Law 38
2.2.2 Diffusion Coefficient and Activation Energy 39
2.2.3 Nucleation of a New Phase 40
2.2.4 Nucleation Rate 46
2.2.5 Global Phase Transformation Avrami Model 51
2.3 Spinodal Decomposition 55
2.3.1 Thermodynamics of Spinodal Decomposition 56
X Contents
2.3.2 Experimental Demonstration Limitation of the Model 61
2.4 Structural Transition 64
2.4.1 Dynamics of a Structural Transition The Soft Mode . 64
2.4.2 Martensitic Transformation 66
2.5 Fractals Percolation 67
2.5.1 Fractal Structures 67
2.5.2 Percolation and Gelation 72
2.6 Dynamics of Phase Transitions
and Properties of Materials 75
3 Phase Transitions in Liquids and Solids: Solidification
and Melting 79
3.1 Ubiquitous Phenomena 79
3.2 Characterization of the Phenomena 80
3.2.1 Thermodynamic Characterization 80
3.2.2 Microscopic Approach 82
3.2.3 Delays in the Transition: Supercooling Superheating . . 84
3.2.4 Methods of Observation and Measurement 86
3.3 Melting 90
3.3.1 The Lindemann Model 90
3.3.2 The Role of Defects 92
3.3.3 Melting and Surface of Materials 95
3.4 Solidification 96
3.4.1 Theoretical Approach to Crystallization
with Intermolecular Potentials 97
3.4.2 Case of Colloids 104
3.4.3 Crystallization and Melting of Polymers 106
3.5 Crystallization, Melting, and Interface Ill
3.5.1 Surface Melting Ill
3.5.2 Size Effect on Small Particles 114
3.5.3 The Special Case of Ice 114
3.6 Very Numerous Applications 117
3.6.1 Melting Solidification in Metallurgy 118
3.6.2 Molding of Polymers 120
3.6.3 Production of Sintered Ceramics 121
4 Phase Transitions in Fluids 125
4.1 The Approach with Equations of State 125
4.2 The Liquid Gas Transition in Simple Liquids 127
4.2.1 Van der Waals Equation of State 127
4.2.2 The Law of Corresponding States 128
4.2.3 Behavior Near the Critical Point 130
4.3 Thermodynamic Conditions of Equilibrium 132
4.3.1 Liquid Gas Equilibrium 132
4.3.2 Maxwell's Rule 133
Contents XI
4.3.3 Clausius Clapeyron and Ehrenfest Equations 134
4.4 Main Classes of Equations of State for Fluids 135
4.4.1 General Principles 135
4.4.2 One Component Fluids 136
4.4.3 Variants of the van der Waals Equation 137
4.5 Metastable States: Undercooling and Overheating 139
4.5.1 Returning to Metastability 139
4.5.2 Drops and Bubbles Formation 139
4.6 Simulation of Phase Transitions 140
4.6.1 Principles 140
4.6.2 Molecular Dynamics 141
4.6.3 Monte Carlo Method 143
4.7 Mixture of Two Components 145
4.7.1 Conditions of Phase Equilibrium in a Binary Mixture . 145
4.7.2 Systems in the Vicinity of a Critical Point 146
4.7.3 Equation of State of Mixtures 147
4.7.4 Mixtures of Polymers or Linear Molecules 152
4.7.5 Binary Mixtures far from the Critical Point 155
4.7.6 Supercritical Demixing 158
4.7.7 Tricritical Points 159
5 The Glass Transition 165
5.1 Glass Formation 165
5.2 The Glass Transition 168
5.2.1 Thermodynamic Characteristics 168
5.2.2 Behavior of the Viscosity 171
5.2.3 Relaxation and Other Time Behaviors 173
5.3 The Structure of Glasses 173
5.3.1 Mode Coupling Theory 176
5.3.2 Industrial Applications 183
5.3.3 Models for Biological Systems 185
6 Gelation and Transitions in Biopolymers 189
6.1 The Gel State and Gelation 189
6.1.1 Characterization of a Gel 189
6.1.2 The Different Types of Gels 190
6.2 Properties of Gels 192
6.2.1 Thermal Properties 192
6.2.2 Mechanical Properties 193
6.3 A Model For Gelation: Percolation 196
6.3.1 The Percolation Model 197
6.4 Biopolymers Gels 200
6.4.1 An Important Gel: Gelatin 200
6.4.2 Polysaccharide Gels 203
6.4.3 Modeling of the Coil 4=» Helix Transition 204
XII Contents
6.4.4 Statistical Model 205
6.5 Main Applications of Gels and Gelation 209
7 Transitions and Collective Phenomena in Solids.
New Properties 215
7.1 Transitions with Common Characteristics 215
7.2 The Order Disorder Transition in Alloys 217
7.3 Magnetism 221
7.3.1 Characterization of Magnetic States 221
7.3.2 The Molecular Field Model 222
7.3.3 Bethe Method 225
7.3.4 Experimental Results 229
7.4 Ferroelectricity 230
7.4.1 Characteristics 230
7.4.2 The Broad Categories of Ferroelectrics 231
7.4.3 Theoretical Models the Landau Model 233
7.5 Superconductivity 236
7.5.1 A Complex Phenomenon 236
7.5.2 Theoretical Models 238
7.6 Universality of Critical Phenomena 241
7.6.1 Critical Exponents and Scaling Laws 241
7.6.2 Renormalization Group Theory 243
7.7 Technological Applications 245
8 Collective Phenomena in Liquids: Liquid Crystals
and Superfluidity 251
8.1 Liquid Crystals 251
8.1.1 Partially Ordered Liquid Phases 251
8.1.2 Definition of Order in the Liquid Crystal State 252
8.1.3 Classification of Mesomorphic Phases 253
8.1.4 The Nematic Phase and its Properties 260
8.1.5 The Many Applications of Liquid Crystals 286
8.1.6 Mesomorphic Phases in Biology 290
8.2 Superfluidity of Helium 291
8.2.1 Helium 4 292
8.2.2 Superfluidity in Helium 3 301
9 Microstructures, Nanostructures and Phase Transitions . . 305
9.1 The Importance of the Microscopic Approach 305
9.2 Microstructures in Solids 306
9.2.1 Solidification and Formation of Microstructures 306
9.2.2 A Typical Example: The Martensitic Transformation . 309
9.2.3 Singular Phases: The Quasicrystals 311
9.2.4 The Special Case of Sintering in Ceramics 312
Contents XIII
9.2.5 Microstructures in Ferromagnetic, Ferroelectric,
and Superconducting Phases 316
9.3 Microstructures in Fluid Phases 324
9.3.1 Microemulsions 325
9.3.2 Colloids 326
9.4 Microstructure, Nanostructures,
and Their Implications in Materials Technology 329
10 Transitions in Thin Films 335
10.1 Monolayers at the Air Water Interface 335
10.1.1 The Role of Surfactants 335
10.1.2 Examples of Molecules Forming Monolayers 336
10.1.3 Preparation and Thermodynamics Study
of Monolayers 337
10.1.4 Phase Diagram of a Monolayer 338
10.2 Monolayer on the Surface of a Solid 343
10.3 Melting and Vitification of Thin Films 345
11 Phase Transitions under Extreme Conditions and in
Large Natural and Technical Systems 347
11.1 Phase Transitions under Extreme Conditions 347
11.1.1 Experimental Methods 347
11.1.2 Equations of State and Phase Transitions
under Extreme Conditions 349
11.1.3 Geomaterials 353
11.1.4 The Plasma State 355
11.1.5 Bose Einstein Condensates
at Extremely Low Temperature 355
11.2 The Role of Phase Transitions
in the Ocean Atmosphere System 358
11.2.1 Stability of an Atmosphere Saturated
with Water Vapor 359
11.2.2 Thermodynamic Behavior of Humid Air 363
11.2.3 Formation of Ice in the Atmosphere Melting
of Ice and Climate 366
11.3 Phase Transitions in Technical Systems 367
11.3.1 Vaporization in Heat Engines 367
11.3.2 The Cavitation Phenomenon 370
11.3.3 Boiling Regimes 371
11.3.4 Phase Transitions and Energy Storage 374
Answers to Problems 377
A. Conditions for Phase Equilibrium 391
XIV Contents
B. Percus—Yevick Equation 393
C. Renormalization Group Theory 397
Bibliography 399
Index 405 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Papon, Pierre Leblond, Jacques Meijer, Paul H. E. 1921- |
| author_GND | (DE-588)123526086 |
| author_facet | Papon, Pierre Leblond, Jacques Meijer, Paul H. E. 1921- |
| author_role | aut aut aut |
| author_sort | Papon, Pierre |
| author_variant | p p pp j l jl p h e m phe phem |
| building | Verbundindex |
| bvnumber | BV021704777 |
| callnumber-first | Q - Science |
| callnumber-label | QC175 |
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| callnumber-search | QC175.16.P5 |
| callnumber-sort | QC 3175.16 P5 |
| callnumber-subject | QC - Physics |
| classification_rvk | UB 3800 UG 3800 |
| classification_tum | PHY 065f |
| ctrlnum | (OCoLC)70178007 (DE-599)BVBBV021704777 |
| dewey-full | 530.4/74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/74 |
| dewey-search | 530.4/74 |
| dewey-sort | 3530.4 274 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 2. rev. ed. |
| format | Book |
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| id | DE-604.BV021704777 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:18:29Z |
| indexdate | 2024-07-09T20:42:05Z |
| institution | BVB |
| isbn | 3540333894 9783540333890 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014918687 |
| oclc_num | 70178007 |
| open_access_boolean | |
| owner | DE-29T DE-19 DE-BY-UBM DE-703 DE-20 DE-91G DE-BY-TUM |
| owner_facet | DE-29T DE-19 DE-BY-UBM DE-703 DE-20 DE-91G DE-BY-TUM |
| physical | XVI, 409 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| spelling | Papon, Pierre Verfasser aut Physique des transitions de phases The physics of phase transitions concepts and applications P. Papon ; J. Leblond ; P. H. E. Meijer 2. rev. ed. Berlin [u.a.] Springer 2006 XVI, 409 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Phase transformations (Statistical physics) Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 s DE-604 Leblond, Jacques Verfasser aut Meijer, Paul H. E. 1921- Verfasser (DE-588)123526086 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014918687&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Papon, Pierre Leblond, Jacques Meijer, Paul H. E. 1921- The physics of phase transitions concepts and applications Phase transformations (Statistical physics) Phasenumwandlung (DE-588)4132140-6 gnd |
| subject_GND | (DE-588)4132140-6 |
| title | The physics of phase transitions concepts and applications |
| title_alt | Physique des transitions de phases |
| title_auth | The physics of phase transitions concepts and applications |
| title_exact_search | The physics of phase transitions concepts and applications |
| title_exact_search_txtP | The physics of phase transitions concepts and applications |
| title_full | The physics of phase transitions concepts and applications P. Papon ; J. Leblond ; P. H. E. Meijer |
| title_fullStr | The physics of phase transitions concepts and applications P. Papon ; J. Leblond ; P. H. E. Meijer |
| title_full_unstemmed | The physics of phase transitions concepts and applications P. Papon ; J. Leblond ; P. H. E. Meijer |
| title_short | The physics of phase transitions |
| title_sort | the physics of phase transitions concepts and applications |
| title_sub | concepts and applications |
| topic | Phase transformations (Statistical physics) Phasenumwandlung (DE-588)4132140-6 gnd |
| topic_facet | Phase transformations (Statistical physics) Phasenumwandlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014918687&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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