Solitons in liquid crystals:
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1992
|
| Series: | Partially ordered systems
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 338 S. Ill., graph. Darst. |
| ISBN: | 3540968784 0387968784 |
Staff View
MARC
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| 245 | 1 | 0 | |a Solitons in liquid crystals |c Lui Lam ... ed. |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1992 | |
| 300 | |a XIV, 338 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Partially ordered systems | |
| 500 | |a Literaturangaben | ||
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| 650 | 0 | 7 | |a Soliton |0 (DE-588)4135213-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Flüssigkristall |0 (DE-588)4071279-5 |D s |
| 689 | 0 | 1 | |a Soliton |0 (DE-588)4135213-0 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-019108023 | |
Record in the Search Index
| _version_ | 1817318883870113792 |
|---|---|
| adam_text |
CONTENTS
PREFACE V
CONTRIBUTORS XIII
1 INTRODUCTION 1
L. LAM AND J. PROST
1.1 LIQUID CRYSTAL PHASES 1
1.2 SOLITONS IN LIQUID CRYSTALS 4
REFERENCES 6
2 SOLITONS AND FIELD INDUCED SOLITONS IN LIQUID CRYSTALS 9
L. LAM
2.1 INTRODUCTION 9
2.2 SOLITONS 10
2.2.1 ORIGIN AND DEFINITION 10
2.2.2 A BRIEF HISTORY 13
2.3 SOLITON EQUATIONS 15
2.3.1 KORTEWEG-DEVRIES EQUATION 15
2.3.2 NONLINEAR SCHRDDINGER EQUATION 15
2.3.3 SINE-GORDON EQUATION 16
2.3.4 FISHER EQUATION 19
2.3.5 THE DAMPED 0
4
EQUATION 20
2.3.6 OTHER EQUATIONS 22
2.4 CONSTRUCTING SOLITON EQUATIONS 23
2.5 METHODS OF SOLVING SOLITON EQUATIONS 24
2.5.1 INVERSE SCATTERING METHOD 24
2.5.2 BACKLUND TRANSFORMATION 25
2.5.3 HIROTA METHOD 26
2.5.4 PERTURBATION 27
2.5.5 NUMERICAL METHOD 28
2.5.6 EXPERIMENTAL SIMULATION 28
2.6 FORMATION OF SOLITONS 28
2.7 MAGNETIC FIELD INDUCED SOLITONS IN NEMATICS 31
2.7.1 EARLY WORKS 31
2.7.2 NEMATICS UNDER TILTED MAGNETIC FIELDS 34
2.8 ELECTRIC FIELD INDUCED SOLITONS IN LIQUID CRYSTALS 44
HTTP://D-NB.INFO/920483283
VIII CONTENTS
2.9 CONCLUSIONS 45
REFERENCES 46
3 SOLITONS IN SHEARING LIQUID CRYSTALS 51
L. LAM AND C.Q. SHU
3.1 INTRODUCTION 51
3.2 STEADY UNIFORM SHEAR I: ONE-DIMENSIONAL CASE 52
3.2.1 EQUATIONS OF MOTION 52
3.2.2 CLASSIFICATION OF SOLITONS 53
3.2.3 SINGLE SOLITONS 56
3.2.4 MULTISOLITONS 58
3.2.5 ENERGY DISSIPATION 59
3.2.6 TRANSMITTED LIGHT INTENSITY 61
3.2.7 FLEXOELECTRIC SOLITONS 64
3.2.8 SPATIOTEMPORAL DISTRIBUTION OF DIRECTORS 67
3.2.9 EXPERIMENTAL SITUATION 69
3.3 STEADY UNIFORM SHEAR II: BOUNDARY EFFECTS 72
3.3.1 DIRECTOR EQUATION OF MOTION 72
3.3.2 STEADY STATES 73
3.3.3 NUMERICAL SOLITON SOLUTIONS 75
3.3.4 ANALYTIC SOLITON SOLUTIONS 78
3.3.5 RELAXATION PROCESSES 84
3.4 UNSTEADY UNIFORM SHEAR 84
3.4.1 MULTIPLE SCALE ANALYSIS 85
3.4.2 PERTURBED SOLITONS 85
3.5 STEADY NONUNIFORM SHEAR I: LINEAR CELL 86
3.5.1 THEORY OF PRESSURE GRADIENT INDUCED SOLITONS 86
3.5.2 EXPERIMENTAL RESULTS IN LINEAR CELLS 87
3.5.3 PERTURBED SOLITONS UNDER SPATIALLY VARYING SHEAR 100
3.6 STEADY NONUNIFORM SHEAR II: RADIAL CELL 101
3.6.1 TORSIONAL SHEAR FLOW 103
3.6.2 RADIAL POISEUILLE FLOW 103
3.6.3 EXPERIMENTS IN RADIAL CELLS 105
3.7 CONCLUSIONS 106
REFERENCES 107
4 SOME NONLINEAR PROBLEMS IN ANISOTROPIC SYSTEMS 110
P.E. CLADIS AND W. VAN SAARLOOS
4.1 INTRODUCTION 110
4.2 NONLINEAR ASPECTS OF STATIC PROPERTIES OF
LIQUID CRYSTALS 112
4.2.1 NONLINEARITIES ASSOCIATED WITH THE
FREEDERICKSZ TRANSITION 116
4.2.2 ESCAPE INTO THE THIRD DIMENSION 117
4.3 NONLINEAR MACROSCOPIC DYNAMICS OF LIQUID CRYSTALS 120
CONTENTS IX
4.3.1 DYNAMICS OF LINE DEFECTS IN NEMATIC
LIQUID CRYSTALS 122
4.3.2 MOVING WALL FRONTS IN HELIELECTRIC
LIQUID CRYSTALS 127
4.3.3 AN EXACT SOLITARY WAVE SOLUTION FOR E
A
0 133
4.3.4 BIOLOGICAL SIGNIFICANCE OF CHIRALITY 134
4.3.5 NONLINEAR ASPECTS OF LIQUID CRYSTALS
IN FLOW 135
4.4 PERSPECTIVES 144
4.5 CONCLUSIONS 145
REFERENCES 146
5 SOLITARY WAVES IN FERROELECTRIC LIQUID CRYSTALS 151
J.E. MACLENNAN, N.A. CLARK, AND M.A. HANDSCHY
5.1 INTRODUCTION 151
5.2 EQUATIONS OF MOTION IN ONE DIMENSION 153
5.2.1 SOLVING THE EQUATION OF MOTION 156
5.3 WAVE FRONTS IN INFINITE SYSTEMS 156
5.3.1 COMPUTER SIMULATIONS 157
5.3.2 MARGINAL STABILITY 160
5.3.3 ANALYTIC SOLUTION FOR THE METASTABLE
STABLE CASE 162
5.3.4 SUMMARY 162
5.4 DIRECTOR REORIENTATION IN FINITE DOMAINS WITH
FIXED BOUNDARIES 162
5.4.1 THICK CELLS WITH A HELIX 163
5.4.2 THIN CELLS WITH SPLAY 163
5.4.3 COMPUTER SIMULATIONS 164
5.5 STRUCTURES WITH FINITE INTERFACE ENERGIES 179
5.5.1 INTRODUCTION 179
5.5.2 ONE-DIMENSIONAL STRUCTURES 182
5.5.3 TWO-DIMENSIONAL STRUCTURES 182
5.6 CONCLUSIONS 188
REFERENCES 189
6 FRUSTRATED SMECTICS 191
P. BAROIS, J. POMMIER, AND J. PROST
6.1 INTRODUCTION 191
6.2 THE PHYSICS OF POLAR SMECTICS 192
6.2.1 INTRINSIC INCOMMENSURABILITY OF
COEXISTING MODULATIONS 192
6.2.2 PHENOMENOLOGICAL THEORY OF FRUSTRATED
SMECTICS 194
X CONTENTS
6.2.3 SOLITONS IN THE MODEL OF FRUSTRATED
SMECTICS 199
6.2.4 CONNECTION WITH EXPERIMENTS 205
6.3 ELECTRIC PROPERTIES OF THE INCOMMENSURATE SMECTICS 211
6.3.1 INTRINSIC FERROELECTRICITY OF
INCOMMENSURATE SMECTICS 211
6.3.2 DISTORTION OF THE MODULATED SMECTIC
STRUCTURE BY AN ELECTRIC FIELD 217
6.3.3 LONGITUDINAL FERROELECTRICITY 219
6.3.4 CONCLUSIONS 224
6.4 ESCAPE FROM INCOMMENSURABILITY 225
6.4.1 TWO-DIMENSIONAL LOCKIN OF THE
WAVE VECTORS 225
6.4.2 THEORETICAL PHASE DIAGRAMS WITH 2D
ANTIPHASES 227
6.4.3 INCLUDING HIGHER ORDER HARMONICS IN K
X
229
6.5 CONCLUSIONS 230
REFERENCES 232
7 SOFT WALLS AND ORIENTATIONAL SINGULARITIES IN
TWO-DIMENSIONAL LIQUID CRYSTAL FILMS 235
R. PINDAK
7.1 BACKGROUND 235
7.2 EXPERIMENTAL TECHNIQUES 239
7.3 SOFT TILT DIRECTOR WALLS IN FERROELECTRIC
SMECTIC C* FILMS 242
7.4 CHARACTERISTIC ORIENTATIONAL SINGULARITIES IN TILTED
HEXATIC FILMS 246
7.5 CONCLUDING REMARKS 249
REFERENCES 250
8 CHARGED TWIST WALLS IN NEMATIC LIQUID CRYSTALS 253
N.V. MADHUSUDANA, J.F. PALIERNE, PH. MARTINOT-LAGARDE,
AND G. DURAND
8.1 INTRODUCTION 253
8.2 EXPERIMENT 253
8.3 MODEL 257
8.4 CONCLUSIONS 263
REFERENCES 263
9 LOCALIZED INSTABILITIES IN THE CONVECTION
O
F
NEMATIC LIQUID CRYSTALS 264
R. RIBOTTA
9.1 INTRODUCTION 264
CONTENTS XI
9.2 LOCALIZED INSTABILITIES IN THE EVOLUTION TO
THE CHAOTIC STATE
265
9.3
THEORETICAL MODEL: THE AMPLITUDE EQUATION 267
9.4 CONVECTIVE INSTABILITIES IN NEMATICS UNDER A.C.
ELECTRIC FIELDS
269
9.5
SEQUENCE OF HOMOGENEOUS STATIONARY STATES
271
9.6 TOPOLOGY OF DISLOCATIONS
274
9.7
EXPERIMENTAL TECHNIQUES
275
9.8
NUCLEATION OF DISLOCATIONS IN THE CONVECTIVE ROLLS 276
9.9
PHASE PROPAGATION AND LOCALIZATION OF A
CONVECTIVE STRUCTURE
284
9.10 PROPAGATION OF SOLITARY ROLLS
289
REFERENCES
290
10 SOLITONS AND COMMENSURATE-INCOMMENSURATE PHASE
TRANSITIONS IN FERROELECTRIC SMECTICS 293
M. YAMASHITA
10.1 INTRODUCTION 293
10.2 CONDENSATION OF SOLITONS 294
10.2.1 SOLITON AND SOLITON LATTICES OF THE
SINE-GORDON EQUATION 294
10.2.2 CHOLESTERIC-NEMATIC PHASE TRANSITION 295
10.2.3 FLEXOELECTRIC INSTABILITY OF THE NEMATIC
PHASE 297
10.3 THE CHIRAL SMECTIC C-SMECTIC C PHASE TRANSITION 300
10.3.1 CHIRAL SMECTIC C PHASE UNDER AN
ELECTRIC FIELD 300
10.3.2 INTERACTION BETWEEN SOLITONS 302
10.3.3 MULTISOLITONS AND SOLITON LATTICES 303
10.3.4 PHASE TRANSITION OF INSTABILITY TYPE 309
10.3.5 EFFECT OF MAGNETIC FIELD 312
10.4 INCOMMENSURATE AND RIPPLED PHASES WITHOUT LIFSHITZ
INVARIANT 314
10.4.1 RIPPLED PHASE 314
10.4.2 PHASE TRANSITIONS BETWEEN SMECTIC A
PHASES 319
10.5 SUMMARY 322
REFERENCES 322
AUTHOR INDEX 326
SUBJECT INDEX 334 |
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| discipline | Physik |
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| illustrated | Illustrated |
| indexdate | 2024-12-02T09:05:41Z |
| institution | BVB |
| isbn | 3540968784 0387968784 |
| language | English |
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| owner_facet | DE-11 |
| physical | XIV, 338 S. Ill., graph. Darst. |
| publishDate | 1992 |
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| publisher | Springer |
| record_format | marc |
| series2 | Partially ordered systems |
| spelling | Solitons in liquid crystals Lui Lam ... ed. New York [u.a.] Springer 1992 XIV, 338 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Partially ordered systems Literaturangaben Flüssigkristall (DE-588)4071279-5 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 s Soliton (DE-588)4135213-0 s DE-604 Lam, Lui 1944- (DE-588)128642734 edt DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019108023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Solitons in liquid crystals Flüssigkristall (DE-588)4071279-5 gnd Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4071279-5 (DE-588)4135213-0 |
| title | Solitons in liquid crystals |
| title_auth | Solitons in liquid crystals |
| title_exact_search | Solitons in liquid crystals |
| title_full | Solitons in liquid crystals Lui Lam ... ed. |
| title_fullStr | Solitons in liquid crystals Lui Lam ... ed. |
| title_full_unstemmed | Solitons in liquid crystals Lui Lam ... ed. |
| title_short | Solitons in liquid crystals |
| title_sort | solitons in liquid crystals |
| topic | Flüssigkristall (DE-588)4071279-5 gnd Soliton (DE-588)4135213-0 gnd |
| topic_facet | Flüssigkristall Soliton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019108023&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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