Thermodynamics of crystalline states:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2013
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 275 S. Ill., graph. Darst. |
| ISBN: | 9781461450849 |
Internformat
MARC
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| 100 | 1 | |a Fujimoto, Minoru |e Verfasser |0 (DE-588)115312439 |4 aut | |
| 245 | 1 | 0 | |a Thermodynamics of crystalline states |c Minoru Fujimoto |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 2013 | |
| 300 | |a XI, 275 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Kristalliner Festkörper |0 (DE-588)4165761-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Thermodynamik |0 (DE-588)4059827-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kristalliner Festkörper |0 (DE-588)4165761-5 |D s |
| 689 | 0 | 1 | |a Thermodynamik |0 (DE-588)4059827-5 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-025875086 | ||
Datensatz im Suchindex
| _version_ | 1804150179187654656 |
|---|---|
| adam_text | Contents
1
Introduction
......................................... ]
1.1
Crystalline Phases
................................. 1
1.2
Structural Changes
................................. 4
1.3
New Concepts
.................................... 7
1.3.1
Modulated Phases and Renoimalized Coordinates
. ... 7
1.3.2
Thermodynamic Changes and Nonlinear Dynamics
. . . 8
1.3.3
Fields within Thermodynamic Boundaries
.......... 8
1.3.4
Adiabatic Potentials
.......................... 8
1.4
Sampling Modulated States
.......................... 9
Exercise
1........................................... 9
References
.......................................... 10
2
Phonons
............................................ 11
2.1
Normal Modes in a Simple Crystal
..................... 11
2.2
Quantized Normal Modes
........................... 14
2.3
Phonon Field and Momentum
......................... 16
2.4
Thermal Equilibrium
............................... 18
2.5
Specific Heat of a Monatomic Crystal
................... 20
2.6
Approximate Models
............................... 22
2.6.1
Einstein s Model
............................ 22
2.6.2
Debye s Model
.............................. 23
2.7
Phonon Statistics Part
1............................. 25
2.8
Compressibility of a Crystal
.......................... 28
Exercise
2........................................... 30
References
.......................................... 31
3
Order Variables and the Adiabatic Potential
................ 33
3.1
A One-dimensional Ionic Chain
....................... 33
3.2
Displacive Variables
............................... 35
3.3
Born-Oppenheimer s Approximation
................... 39
Contents
3.4
Equilibrium Crystals and the Bloch Theorem
............. 45
3.4.1
Reciprocal Lattice and Renormalized Coordinates
. ... 45
3.4.2
The Bloch Theorem
.......................... 47
3.4.3
Lattice Symmetry and the Brillouin Zone
........... 49
3.5
Phonon Scatterings
................................ 51
3.5.1
Phonon Scatterings in Crystals
.................. 51
3.5.2
The Born-Huang Relaxation and Soft Modes
........ 52
Exercise
3........................................... 53
References
.......................................... 54
Mean-Field Theories of Binary Ordering
................... 55
4.1
Probabilities in Binary Alloys
......................... 55
4.2
The Bragg-Williams Theory
.......................... 57
4.3
Becker s Interpretation
.............................. 60
4.4
Ferromagnetic Order
............................... 62
4.5
Ferromagnetic Transition in Applied Magnetic Field
........ 64
Exercise
4........................................... 66
References
.......................................... 66
Pseudospin Clusters
................................... 67
5.1
Pseudospins for Binary Displacements
.................. 67
5.2
A Tunneling Model
................................ 70
5.3
Pseudospin Correlations
............................. 71
5.4
Pseudospin Clusters in Crystals
....................... 73
5.4.1
Classical Pseudospins in Crystals
................. 73
5.4.2
Clusters of Pseudospins
........................ 74
5.5
Examples of Pseudospin Clusters
...................... 78
5.5.1
Cubic to Tetragonal Transition in SrTiO3
........... 78
5.5.2
Monoclinic Crystals of Tris-Sarcosine Calcium
Chloride (TSCC)
............................ 80
Exercise
5........................................... 82
References
.......................................... 82
Critical Fluctuations
.................................. 83
6.1
The Landau Theory of Binary Transitions
................ 83
6.2
Internal Pinning of Adiabatic Fluctuations
............... 87
6.3
Critical Anomalies
................................. 88
6.4
Observing Anomalies
............................... 90
6.5
Extrinsic Pinning
.................................. 92
6.5.1
Pinning by Point Defects
....................... 93
6.5.2
Pinning by an Electric Field
.................... 93
6.5.3
Surface Pinning
............................. 94
Exercise
6........................................... 94
References
.......................................... 95
Contents ¡x
7 Pseudospin
Correlations
................................ 97
7.1
Propagation of a Collective Pseudospin Mode
............. 97
7.2
Transverse Components and the Cnoidal Potential
......... 101
7.3
The Lifshitz Condition for Incommensurability
............ 103
7.4
Pseudopotentials
.................................. 105
Exercise
7........................................... 108
References
.......................................... 109
8
Soliton Theory of
Long-Range
Order
.....................
Ill
8.1
A Longitudinal Dispersive Mode of Collective Pseudospins
...
Ill
8.2
The Korteweg-de
Vries
Equation
...................... 115
8.3
Solutions of the Korteweg-de
Vries
Equation
............. 117
8.4
Cnoidal Theorem and the
Eckart
Potential
............... 120
8.5
Condensate Pinning by the
Eckart
Potentials
.............. 122
8.6
Born-Huang s Transitions
........................... 126
8.7
Topological Mapping of Mesoscopic Fields
.............. 129
Exercise
8........................................... 132
References
.......................................... 135
9
Soft Modes
.......................................... 137
9.1
The Lyddane-Sachs-Teller Relation
.................... 137
9.2
Soft Lattice Modes of Condensates
..................... 141
9.2.1
The Lattice Response to Collective Pseudospins
...... 141
9.2.2
Temperature Dependence of Soft-Mode
Frequencies
................................ 144
9.2.3
Cochran s Model
............................ 148
9.3
Symmetry Change at Tc
.............................. 151
Exercise
9........................................... 153
References
.......................................... 154
10
Experimental Studies on Critical Fluctuations
............... 155
10.1
Diffuse
Х
-Ray Diffraction
.......................... 155
10.2
Neutron Inelastic Scatterings
........................ 160
10.3
Light Scattering Experiments
........................ 164
10.3.1
Brillouin Scatterings
........................ 165
10.3.2
Raman Scatterings
......................... 169
10.4
Magnetic Resonance
.............................. 171
10.4.1
Principles of Nuclear Magnetic Resonance
and Relaxation
............................ 173
10.4.2
Paramagnetic Resonance of Impurity Probes
...... 175
10.4.3
The Spin Hamiltonian
....................... 176
10.4.4
Hyperfine Interactions
....................... 180
10.5
Magnetic Resonance in Modulated Crystals
............. 180
10.6
Examples of Transition Anomalies
.................... 183
References
.......................................... 187
x
Contents
11
Magnetic Crystals
.................................... 189
11.1
Microscopic Magnetic Moments in Crystals
............. 189
[ 1.2
Paramagnetism
.................................. 193
1
1.3
Spin-Spin Correlations
............................ 194
11.4
Spin Clusters and Magnetic Symmetry
................. 198
1
1.5
Magnetic Weiss Field
............................. 200
1
1.6
Spin Waves
..................................... 203
1
1.7
Magnetic Anisotropy
.............................. 204
11.8
Antiferromagnetic and Ferrimagnetic States
............. 208
11.9
Fluctuations in Ferromagnetic and Antiferromagnetic
States
......................................... 210
11.9.1
Ferromagnetic Resonance
.................... 211
11.9.2
Antiferromagnetic Resonance
................. 212
Exercise
11.......................................... 214
References
.......................................... 214
12
Phonon and Electron Statistics in Metals
................... 215
12.1
Phonon Statistics Part
2............................ 215
12.2
Conduction Electrons in Metals
...................... 218
12.2.1
The
Pauli
Principle
......................... 218
12.2.2
The Coulomb Interaction
..................... 220
12.2.3
The Bloch Theorem in Equilibrium Crystals
....... 221
12.3
Many-Electron Systems
............................ 222
12.4
Fermi-Dirac Statistics for Conduction Electrons
.......... 226
Exercise
12.......................................... 226
References
.......................................... 227
13
Superconducting Metals
................................ 229
13.1
Superconducting States
............................ 229
13.1.1
Near-Zero Electrical Resistance
................ 229
13.1.2
The Meissner Effect
........................ 231
13.1.3
Thermodynamic Equilibrium Between Normal
and Superconducting Phases
.................. 233
13.2
Long-Range Order in Superconducting States
............ 235
13.3
Electromagnetic Properties of Superconductors
........... 237
13.4
The Ginzburg-Landau Equation and the
Coherence Length
................................ 244
Exercise
13.......................................... 247
References
.......................................... 248
14
Theories of Superconducting Transitions
................... 249
14.1
The
Fröhlich s
Condensate
.......................... 249
14.2
The Cooper Pair
................................. 252
14.3
Critical Anomalies and the Superconducting Ground State
. . . 255
14.3.1
Critical Anomalies and a Gap in a
Superconducting Energy Spectrum
.............. 255
Contents xi
14.3.2 Order Variables in
Superconducting
States........ 257
14.3.3 BCS
Ground
States......................... 262
14.3.4
Superconducting
States
at Finite Temperatures
..... 266
Exercise
14.......................................... 267
References
.......................................... 268
Appendix
............................................... 269
Index
.................................................. 271
|
| any_adam_object | 1 |
| author | Fujimoto, Minoru |
| author_GND | (DE-588)115312439 |
| author_facet | Fujimoto, Minoru |
| author_role | aut |
| author_sort | Fujimoto, Minoru |
| author_variant | m f mf |
| building | Verbundindex |
| bvnumber | BV040895510 |
| classification_rvk | UP 1500 |
| ctrlnum | (OCoLC)828615361 (DE-599)HBZHT017543822 |
| dewey-full | 548/.81 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548/.81 |
| dewey-search | 548/.81 |
| dewey-sort | 3548 281 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV040895510 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:34:48Z |
| institution | BVB |
| isbn | 9781461450849 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025875086 |
| oclc_num | 828615361 |
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| owner | DE-703 DE-29T |
| owner_facet | DE-703 DE-29T |
| physical | XI, 275 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| spelling | Fujimoto, Minoru Verfasser (DE-588)115312439 aut Thermodynamics of crystalline states Minoru Fujimoto 2. ed. New York [u.a.] Springer 2013 XI, 275 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kristalliner Festkörper (DE-588)4165761-5 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Kristalliner Festkörper (DE-588)4165761-5 s Thermodynamik (DE-588)4059827-5 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4614-5085-6 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025875086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fujimoto, Minoru Thermodynamics of crystalline states Kristalliner Festkörper (DE-588)4165761-5 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4165761-5 (DE-588)4059827-5 |
| title | Thermodynamics of crystalline states |
| title_auth | Thermodynamics of crystalline states |
| title_exact_search | Thermodynamics of crystalline states |
| title_full | Thermodynamics of crystalline states Minoru Fujimoto |
| title_fullStr | Thermodynamics of crystalline states Minoru Fujimoto |
| title_full_unstemmed | Thermodynamics of crystalline states Minoru Fujimoto |
| title_short | Thermodynamics of crystalline states |
| title_sort | thermodynamics of crystalline states |
| topic | Kristalliner Festkörper (DE-588)4165761-5 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Kristalliner Festkörper Thermodynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025875086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fujimotominoru thermodynamicsofcrystallinestates |