Spin glasses:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge Univ. Press
1993
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Ausgabe: | 1. paperback ed. |
Schriftenreihe: | Cambridge studies in magnetism
1 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 408 S. graph. Darst. |
ISBN: | 0521342961 0521447771 |
Internformat
MARC
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Datensatz im Suchindex
_version_ | 1804141320213626880 |
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adam_text | Titel: Spin glasses
Autor: Fischer, Konrad H
Jahr: 1993
Contents
Preface ix
1 Introduction 1
2 Models, order parameters, and systems 15
2.1 Models: random sites and random bonds 15
2.2 Broken symmetry in pure systems 19
2.3 Averaging in disordered systems 25
2.4 Broken ergodicity and spin glass order parameters 30
2.5 Frustration 41
2.6 Spin glass systems 48
3 Mean field theory I: Ising model, equilibrium theory 61
3.1 The SK model and a heuristic solution 62
3.2 SK solution from perturbation theory 65
3.3 Replica-symmetric theory 75
3.4 Replica symmetry breaking and broken ergodicity: 84
the Parisi solution
3.5 TAP equations and metastable states 94
3.6 Two soluble models 108
The spherical model 109
The random energy model 111
3.7 The Potts glass 118
4 Introduction to dynamics 125
4.1 The Glauber model 125
4.2 Monte Carlo calculations 129
4.3 Soft spins and Langevin models 131
4.4 The fluctuation-dissipation theorem 138
5 Mean field theory II: Ising dynamics 141
5.1 The dynamical functional integral for the SK model 142
5.2 Dynamics of the phase transition 144
5.3 Sompolinsky theory 156
vi Contents
6 Mean field theory III: vector spins 165
6.1 The Gabay-Toulouse line 167
6.2 Anisotropy: non-random 175
6.3 The Dzyaloshinskii-Moriya interaction 180
6.4 Random DM anisotropy 182
6.5 Dynamics with conserved magnetization 187
7 Short-range interactions: low-temperature 193
properties
7.1 Frustration and local gauge theories 194
7.2 Hydrodynamics and spin waves 203
7.3 Effects of anisotropy: hysteresis, remanence, torque, 210
ESR, and NMR
8 Beyond mean field theory 219
8.1 Renormalization in pure systems 219
8.2 Scaling theory of the spin glass phase 227
8.3 The spin glass transition 237
8.4 Monte Carlo calculations 249
8.5 Experimental evidence 259
9 Dynamics on many time scales 267
9.1 Experimental windows 269
ac susceptibility measurements 270
Time-dependent magnetization measurements 275
Neutron scattering (including spin echo) 278
Mössbauer effect 280
NMR and ESR 281
Muon spin rotation and relaxation 282
9.2 Ageing 284
9.3 Phenomenological models 292
Ultradiffusion: the Ogielski-Stein-Schreckenbeg model 293
Other models for ultradiffusion 296
Connection with explicit models 299
10 Specific heat, sound propagation, and transport 301
properties
10.1 Specific heat 301
10.2 Ultrasound 306
10.3 Electrical resistivity and thermopower 311
Contents
11 Competition between spin glass and 319
ferromagnetic or antiferromagnetic order
11.1 Mean field theory 320
11.2 Reentrant transitions 322
12 One-dimensional models 327
12.1 The nearest-neighbour Ising spin glass chain 328
12.2 A long-range model 331
13 Random field and random anisotropy 337
13.1 Random external fields 338
13.2 Random anisotropy 346
14 The physics of complexity 355
14.1 Combinatorial optimization problems 356
The weighted matching problem 356
The travelling salesman 358
Graph bipartitioning 359
14.2 Collective computation and neural networks 361
15 A short history of spin glasses 371
References 377
Index 399
|
any_adam_object | 1 |
author | Fischer, K. H. Hertz, J. A. |
author_facet | Fischer, K. H. Hertz, J. A. |
author_role | aut aut |
author_sort | Fischer, K. H. |
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building | Verbundindex |
bvnumber | BV025866322 |
classification_rvk | UG 2000 UP 6800 |
ctrlnum | (OCoLC)636879130 (DE-599)BVBBV025866322 |
dewey-full | 530.41 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.41 |
dewey-search | 530.41 |
dewey-sort | 3530.41 |
dewey-tens | 530 - Physics |
discipline | Physik |
edition | 1. paperback ed. |
format | Book |
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id | DE-604.BV025866322 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:14:00Z |
institution | BVB |
isbn | 0521342961 0521447771 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019113801 |
oclc_num | 636879130 |
open_access_boolean | |
owner | DE-11 |
owner_facet | DE-11 |
physical | X, 408 S. graph. Darst. |
publishDate | 1993 |
publishDateSearch | 1993 |
publishDateSort | 1993 |
publisher | Cambridge Univ. Press |
record_format | marc |
series | Cambridge studies in magnetism |
series2 | Cambridge studies in magnetism |
spelling | Fischer, K. H. Verfasser aut Spin glasses K. H. Fischer ; J. A. Hertz 1. paperback ed. Cambridge Cambridge Univ. Press 1993 X, 408 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in magnetism 1 Spinglas (DE-588)4138228-6 gnd rswk-swf Spinglas (DE-588)4138228-6 s DE-604 Hertz, J. A. Verfasser aut Cambridge studies in magnetism 1 (DE-604)BV004417957 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019113801&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Fischer, K. H. Hertz, J. A. Spin glasses Cambridge studies in magnetism Spinglas (DE-588)4138228-6 gnd |
subject_GND | (DE-588)4138228-6 |
title | Spin glasses |
title_auth | Spin glasses |
title_exact_search | Spin glasses |
title_full | Spin glasses K. H. Fischer ; J. A. Hertz |
title_fullStr | Spin glasses K. H. Fischer ; J. A. Hertz |
title_full_unstemmed | Spin glasses K. H. Fischer ; J. A. Hertz |
title_short | Spin glasses |
title_sort | spin glasses |
topic | Spinglas (DE-588)4138228-6 gnd |
topic_facet | Spinglas |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019113801&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV004417957 |
work_keys_str_mv | AT fischerkh spinglasses AT hertzja spinglasses |