On the influence of disorder on elastic manifolds: solid dry friction and flux lines in high-Tc-superconductors
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| Format: | Thesis Book |
| Language: | German |
| Published: |
1998
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 196 S. Ill., graph. Darst. |
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MARC
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| 100 | 1 | |a Volmer, Andreas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On the influence of disorder on elastic manifolds |b solid dry friction and flux lines in high-Tc-superconductors |c vorgelegt von Andreas Volmer |
| 264 | 1 | |c 1998 | |
| 300 | |a IV, 196 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Köln, Univ, Diss., 1998 | ||
| 650 | 0 | 7 | |a Statistische Mechanik |0 (DE-588)4056999-8 |2 gnd |9 rswk-swf |
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| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008262333&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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| _version_ | 1807773221696569344 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
RANDOM
MANIFOLDS
.
2
1.1.1
STATISTICAL
MECHANICS
IN
EQUILIBRIUM
.
3
1.1.2
DRIVEN
DYNAMICS
.
6
I
STATISTICAL
MECHANICS
OF
SOLID
DRY
FRICTION
13
2
INTRODUCTION
15
2.1
AMONTONS
'
LAWS
.
15
2.2
ADHESION
THEORY
OF
FRICTION
.
16
2.3
RUBBER
FRICTION
.
20
2.4
ELASTIC
MULTISTABILITY:
A
TOY
MODEL
.
21
2.5
AIMS
AND
OUTLINE
OF
PART
I
.
25
3
THE
MODEL
27
3.1
SURFACE
PROFILES
.
28
3.2
THE
CONFIGURATIONAL
ENERGY
.
31
3.2.1
DISCRETE
MODEL
.
32
3.2.2
CONTINUOUS
MODEL
.
33
3.2.3
EFFECTIVE
SURFACE
ELASTICITY
.
34
3.2.4
SURFACE
INTERACTION
.
36
3.3
EQUATIONS
OF
MOTION
.
37
3.4
REAL
CONTACT
AREA
VERSUS
NORMAL
LOAD
.
39
3.4.1
EXPONENTIAL
POTENTIAL
.
40
3.4.2
POWER
LAW
POTENTIAL
.
41
II
CONTENTS
3.5
STRONG
PINNING
VERSUS
WEAK
PINNING
.
43
4
ANALYTICAL
RESULTS
47
4.1
SCALING
ANALYSIS
.
47
4.2
MEAN
FIELD
THEORY
.
50
4.2.1
LATERAL
DEFORMATIONS
.
50
4.2.2
PERTURBATIVE
EXPANSION
.
51
4.2.3
POTENTIAL-POTENTIAL
CORRELATION
FUNCTIONS
.
53
4.2.4
DERIVATIVES
OF
C2
IN
THE
ORIGIN
.
56
4.2.5
RELATION
BETWEEN
FRICTION
FORCE
AND
NORMAL
LOAD
.
.
58
4.3
PERTURBATIVE
ANALYSIS
.
59
4.3.1
STATIC
PROPERTIES
.
60
4.3.2
KINETIC
AND
STATIC
FRICTION
.
63
4.3.3
BEYOND
PERTURBATION
THEORY
.
69
4.4
RELATION
TO
EXPERIMENTS
.
71
4.4.1
THE
LARKIN
LENGTH
.
73
4.4.2
FRICTION
FORCE
AMPLITUDE
.
73
4.4.3
RELATION
TO
RUBBER
FRICTION
.
74
5
NUMERICAL
SIMULATIONS
77
5.1
SETUP
.
77
5.2
MEASURED
QUANTITIES
.
80
5.3
RESULTS
.
81
5.3.1
EXPONENTIAL
POTENTIAL
.
81
5.3.2
QUADRATIC
POTENTIAL
.
85
5.4
AVALANCHES
.
87
5.5
OUTLOOK
.
91
6
CONCLUSION
93
CONTENTS
III
II
VAN
DER
WAALS
INTERACTIONS
BETWEEN
FLUX
LINES
IN
LAYERED
HIGH-T
C
SUPERCONDUCTORS
97
7
INTRODUCTION
99
8
PROPERTIES
OF
A
SINGLE
FLUX
LINE
105
8.1
INTERACTIONS
AND
ELASTIC
CONSTANTS
.
105
8.2
HAMILTONIAN
FOR
A
SINGLE
FLUX
LINE
.
108
8.3
CORRELATION
FUNCTIONS
.
ILL
8.3.1
SHORT
WAVELENGTH
LIMIT
OF
CDI
S
(FC)
.
ILL
8.3.2
LONG
WAVELENGTH
LIMIT
OF
CDIS
.
115
8.3.3
THERMAL
FLUCTUATIONS
C
T
.
115
9
VAN
DER
WAALS
ATTRACTION
117
9.1
AN
INTUITIVE
PICTURE
.
118
9.1.1
PURE
THERMAL
CASE
.
119
9.1.2
DISORDER
CASE
AT
T
=
0
.
119
9.2
EXPANSION
OF
THE
FREE
ENERGY
.
125
9.2.1
FIRST
CUMULANT
.
126
9.2.2
SECOND
CUMULANT
.
127
10
LOW
FIELD
PHASE
DIAGRAM
131
10.1
PHASE
DIAGRAM
IN
THE
PURE
CASE
.
131
10.1.1
SCALING
APPROACH
.
132
10.1.2
FUNCTIONAL
RENORMALIZATION
.
135
10.1.3
GIBBS
FREE
ENERGY
DENSITY
.
140
10.2
PHASE
DIAGRAM
IN
THE
PRESENCE
OF
DISORDER
.
147
11
A
VARIATIONAL
APPROACH
149
11.1
VARIATION
OF
THE
FREE
ENERGY
.
149
11.2
SHORT
RANGE
REPULSIVE
POTENTIAL
.
153
11.3
MINIMIZATION
OF
THE
GIBBS
FREE
ENERGY
.
155
11.4
VAN
DER
WAALS
INTERACTION
.
157
11.5
COMPARISON
WITH
THE
FUNCTIONAL
RG
.
161
12
CONCLUSION
165
IV
CONTENTS
A
PART
I
167
A.L
BULK
MEDIATED
ELASTICITY
.
167
A.2
HERTZIAN
CONTACT
.
169
A.3
CORRELATION
FUNCTION
C2(
K
, 5)
FOR
THE
POWER
LAW
POTENTIAL
.
171
A.4
RANDOM
POTENTIAL
CORRELATION
FUNCTION
.
173
B
PART
II
175
B.L
PROBABILITY
DENSITY
PIAFFE)
.
175
B.2
FUNCTIONAL
RENORMALIZATION
GROUP
.
176
B.2.1
LINEAR
FUNCTIONAL
RG
.
177
B.2.2
NONLINEAR
FUNCTIONAL
RG
.
178
B.3
NUMERICAL
EVALUATION
OF
AA
AND
B
&
.
179
BIBLIOGRAPHY
181
ACKNOWLEDGEMENTS
189
ZUSAMMENFASSUNG
191 |
| any_adam_object | 1 |
| author | Volmer, Andreas |
| author_facet | Volmer, Andreas |
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| author_sort | Volmer, Andreas |
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| ctrlnum | (OCoLC)51007214 (DE-599)BVBBV012192023 |
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| id | DE-604.BV012192023 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:21:29Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008262333 |
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| physical | IV, 196 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| record_format | marc |
| spelling | Volmer, Andreas Verfasser aut On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors vorgelegt von Andreas Volmer 1998 IV, 196 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Köln, Univ, Diss., 1998 Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Gleitreibung (DE-588)4021264-6 gnd rswk-swf Hochtemperatursupraleiter (DE-588)4220922-5 gnd rswk-swf Flussschlauch (DE-588)4326682-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gleitreibung (DE-588)4021264-6 s Statistische Mechanik (DE-588)4056999-8 s DE-604 Hochtemperatursupraleiter (DE-588)4220922-5 s Flussschlauch (DE-588)4326682-4 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008262333&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Volmer, Andreas On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors Statistische Mechanik (DE-588)4056999-8 gnd Gleitreibung (DE-588)4021264-6 gnd Hochtemperatursupraleiter (DE-588)4220922-5 gnd Flussschlauch (DE-588)4326682-4 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4021264-6 (DE-588)4220922-5 (DE-588)4326682-4 (DE-588)4113937-9 |
| title | On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors |
| title_auth | On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors |
| title_exact_search | On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors |
| title_full | On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors vorgelegt von Andreas Volmer |
| title_fullStr | On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors vorgelegt von Andreas Volmer |
| title_full_unstemmed | On the influence of disorder on elastic manifolds solid dry friction and flux lines in high-Tc-superconductors vorgelegt von Andreas Volmer |
| title_short | On the influence of disorder on elastic manifolds |
| title_sort | on the influence of disorder on elastic manifolds solid dry friction and flux lines in high tc superconductors |
| title_sub | solid dry friction and flux lines in high-Tc-superconductors |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Gleitreibung (DE-588)4021264-6 gnd Hochtemperatursupraleiter (DE-588)4220922-5 gnd Flussschlauch (DE-588)4326682-4 gnd |
| topic_facet | Statistische Mechanik Gleitreibung Hochtemperatursupraleiter Flussschlauch Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008262333&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT volmerandreas ontheinfluenceofdisorderonelasticmanifoldssoliddryfrictionandfluxlinesinhightcsuperconductors |