Asymptotic laws near higher order glass transition singularities:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2003
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Techn. Univ., Diss., 2003 |
| Beschreibung: | 141 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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CONTENTS
LIST OF FIGURES 5
LIST OF ABBREVIATIONS, ACRONYMS AND SYMBOLS 7
CHAPTER 1. INTRODUCTION 9
CHAPTER 2. EQUATIONS OF MOTION 13
1. DENSITY-AUTOCORRELATION FUNCTION 13
2. GLASS-TRANSITION SINGULARITIES 16
3. COUPLED QUANTITIES 17
CHAPTER 3. STATIC-STRUCTURE FACTORS 19
1. STATIC-STRUCTURE FACTOR AND WIENER-HOPF FACTORIZATION 19
2. STRUCTURE FACTORS FOR SHORT-RANGED ATTRACTION WITHIN MSA 21
3. STRUCTURE FACTORS FOR SHORT-RANGED INTERACTION WITHIN PYA 25
4. REMARKS 27
CHAPTER 4. GLASS-TRANSITION DIAGRAMS 29
1. GLASS-TRANSITION DIAGRAM OF THE SWS 29
2. GLASS-TRANSITION DIAGRAMS FOR DIFFERENT POTENTIALS 36
3. REENTRY PHENOMENON 41
CHAPTER 5. ASYMPTOTIC EXPANSIONS 45
1. GENERAL FORMULAS 45
2. LOGARITHMIC DECAY 49
3. CRITICAL DECAY AT AN /^-SINGULARITY 54
4. CRITICAL DECAY AT AN A4-SINGULARITY 59
5. /^-SINGULARITY AND COUPLED QUANTITIES 61
6. DYNAMICS IN A ONE-COMPONENT MODEL ' 65
7. DYNAMICS IN A TWO-COMPONENT MODEL 72
CHAPTER 6. LOGARITHMIC RELAXATION IN THE SWS 87
1. LOGARITHMIC DECAY AT THE
A
4
-SINGULARITY 87
2. SUBDIFFUSIVE POWER LAW IN THE MSD 95
3. LOGARITHMIC DECAY AT AN ^-SINGULARITY 98
4. CRITICAL DECAY AT HIGHER-ORDER SINGULARITIES 101
CHAPTER 7. LINE CROSSING IN THE SWS 107
1. MSD AT A CROSSING 107
2. CORRELATION FUNCTION AT A CROSSING 115
CHAPTER 8. EXPERIMENTAL ASPECTS 121
3
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/968634079
4
CONTENTS
1. DEPLETION ATTRACTION 121
2. REENTRY PHENOMENON 121
3. LOCATION OF THE GLASS-TRANSITION DIAGRAM IN THE PHASE DIAGRAM 122
4. LOGARITHMIC DECAY IN MD 124
CHAPTER 9. CONCLUSION 129
APPENDIX A. COMMENTS ON THE ASYMPTOTIC EXPANSION 131
1. LAPLACE TRANSFORM OF LOGARITHMS 131
2. PARAMETERS
CJ
FOR EQ. (5.31) 132
3. CRITICAL DECAY FOR THE FI
3-MODEL 132
APPENDIX B. NUMERICAL ALGORITHMS 135
1. DETERMINATION OF GLASS-GLASS TRANSITIONS 135
2. CHARACTERISTIC PARAMETERS FOR HIGHER-ORDER SINGULARITIES 136
APPENDIX. BIBLIOGRAPHY 139 |
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| indexdate | 2024-11-22T17:37:50Z |
| institution | BVB |
| language | English |
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| physical | 141 S. graph. Darst. |
| publishDate | 2003 |
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| spelling | Sperl, Matthias Verfasser aut Asymptotic laws near higher order glass transition singularities Matthias Sperl Asymptotic laws near higher-order glass-transition singularities 2003 141 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2003 Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Korrelationsfunktion (DE-588)4286297-8 gnd rswk-swf Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Glasumwandlung (DE-588)4215431-5 gnd rswk-swf Modenkopplung (DE-588)4191469-7 gnd rswk-swf Kolloid (DE-588)4164695-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Glasumwandlung (DE-588)4215431-5 s Kritisches Phänomen (DE-588)4165788-3 s DE-604 Kolloid (DE-588)4164695-2 s Modenkopplung (DE-588)4191469-7 s Korrelationsfunktion (DE-588)4286297-8 s Singularität Mathematik (DE-588)4077459-4 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010468735&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sperl, Matthias Asymptotic laws near higher order glass transition singularities Singularität Mathematik (DE-588)4077459-4 gnd Korrelationsfunktion (DE-588)4286297-8 gnd Kritisches Phänomen (DE-588)4165788-3 gnd Glasumwandlung (DE-588)4215431-5 gnd Modenkopplung (DE-588)4191469-7 gnd Kolloid (DE-588)4164695-2 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4286297-8 (DE-588)4165788-3 (DE-588)4215431-5 (DE-588)4191469-7 (DE-588)4164695-2 (DE-588)4113937-9 |
| title | Asymptotic laws near higher order glass transition singularities |
| title_alt | Asymptotic laws near higher-order glass-transition singularities |
| title_auth | Asymptotic laws near higher order glass transition singularities |
| title_exact_search | Asymptotic laws near higher order glass transition singularities |
| title_full | Asymptotic laws near higher order glass transition singularities Matthias Sperl |
| title_fullStr | Asymptotic laws near higher order glass transition singularities Matthias Sperl |
| title_full_unstemmed | Asymptotic laws near higher order glass transition singularities Matthias Sperl |
| title_short | Asymptotic laws near higher order glass transition singularities |
| title_sort | asymptotic laws near higher order glass transition singularities |
| topic | Singularität Mathematik (DE-588)4077459-4 gnd Korrelationsfunktion (DE-588)4286297-8 gnd Kritisches Phänomen (DE-588)4165788-3 gnd Glasumwandlung (DE-588)4215431-5 gnd Modenkopplung (DE-588)4191469-7 gnd Kolloid (DE-588)4164695-2 gnd |
| topic_facet | Singularität Mathematik Korrelationsfunktion Kritisches Phänomen Glasumwandlung Modenkopplung Kolloid Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010468735&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sperlmatthias asymptoticlawsnearhigherorderglasstransitionsingularities |