Ph.D. thesis (pdf) - dirac

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$Guide to Imfufa LaTeX - dirac$

viii CONTENTS 4 Experimental techniques and observables 45 4.1 Linear response and two-time correlation functions . . . . . . . . . . 45 4.2 Dielectric spectroscopy . . . . . . . . . . . . . . . . . . . . . . . . . . 47 4.3 Inelastic Scattering Experiments . . . . . . . . . . . . . . . . . . . . 51 5 Alpha Relaxation 71 5.1 Dielectric spectroscopy . . . . . . . . . . . . . . . . . . . . . . . . . . 71 5.2 Relaxation time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 5.3 Spectral shape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 5.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 6 High Q collective modes 95 6.1 Inelastic X-ray scattering . . . . . . . . . . . . . . . . . . . . . . . . 95 6.2 Sound speed and attenuation . . . . . . . . . . . . . . . . . . . . . . 98 6.3 Nonergodicity factor . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 6.4 Nonergodicity factor and fragility . . . . . . . . . . . . . . . . . . . . 110 6.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 7 Mean squared displacement 121 7.1 Backscattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 7.2 Elastic intensity and mean square displacement . . . . . . . . . . . . 123 7.3 Relation to alpha relaxation . . . . . . . . . . . . . . . . . . . . . . . 127 7.4 Lindemann criterion . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 7.5 Temperature dependence . . . . . . . . . . . . . . . . . . . . . . . . 133 7.6 Relaxational contributions . . . . . . . . . . . . . . . . . . . . . . . . 135 7.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 8 Boson Peak 141 8.1 Time of flight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 8.2 The origin of the excess modes . . . . . . . . . . . . . . . . . . . . . 149 8.3 Boson Peak and fragility . . . . . . . . . . . . . . . . . . . . . . . . . 159 8.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
CONTENTS ix 9 Summarizing discussion 171 10 Perspectives 175 A Details on the samples 193 A.1 Cumene . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 A.2 PIB . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 A.3 DHIQ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 A.4 DBP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 A.5 m-Toluidine . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 A.6 Other samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 B Data compilations 203 B.1 Data compilation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 C Dielectric setup 209
Page 1: THÈSE présentée par Kristine NIS
Page 5 and 6: Acknowledgement First of all I woul
Page 7: Contents Abstract iii Acknowledgeme
Page 12 and 13: 2 Introduction fragility with other
Page 15: Résumé du chapitre 2 De manière
Page 18 and 19: 8 Slow and fast dynamics glass. The
Page 20 and 21: 10 Slow and fast dynamics energy in
Page 22 and 23: 12 Slow and fast dynamics increasin
Page 24 and 25: 14 Slow and fast dynamics (linear)
Page 26 and 27: 16 Slow and fast dynamics The dynam
Page 28 and 29: 18 Slow and fast dynamics T > T 2
Page 30 and 31: 20 Slow and fast dynamics as theore
Page 32 and 33: 22 Slow and fast dynamics and sugge
Page 34 and 35: 24 Slow and fast dynamics The boson
Page 36 and 37: 26 Slow and fast dynamics modulus 3
Page 39 and 40: Chapter 3 What we learn from pressu
Page 41 and 42: 3.2. Empirical scaling law and some
Page 47 and 48: 3.3. Correlations with fragility 37
Page 49 and 50: 3.4. Temperature dependences 39 mea
Page 51: 3.5. Summary 41 assumption that the
Page 55 and 56: Chapter 4 Experimental techniques a
Page 57 and 58: 4.2. Dielectric spectroscopy 47 4.1
Page 59 and 60:
4.2. Dielectric spectroscopy 49 fie
Page 61 and 62:
4.3. Inelastic Scattering Experimen
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Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79:
Résumé du chapitre 5 La relaxatio
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72 Alpha Relaxation the dielectric
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74 Alpha Relaxation Measuring the c
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76 Alpha Relaxation 4 2 0 This work
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78 Alpha Relaxation for the 1 s iso
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80 Alpha Relaxation log10(τ α ) 2
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82 Alpha Relaxation 2 1 0 216.4K th
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84 Alpha Relaxation function has a
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86 Alpha Relaxation 2.5 2.5 2 2 log
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88 Alpha Relaxation 0.4 log 10 Im(
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90 Alpha Relaxation keeping the rel
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92 Alpha Relaxation correlation bet
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Chapter 6 High Q collective modes I
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6.1. Inelastic X-ray scattering 97
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6.2. Sound speed and attenuation 99
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Page 113 and 114:
Page 115 and 116:
6.3. Nonergodicity factor 105 where
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6.3. Nonergodicity factor 107 1 0.9
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6.3. Nonergodicity factor 109 high
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6.4. Nonergodicity factor and fragi
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Page 127 and 128:
6.5. Summary 117 d log (e(ρ))/ d l
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Résumé du chapitre 7 Dans ce chap
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122 Mean squared displacement colle
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124 Mean squared displacement 1.5 I
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126 Mean squared displacement 1.4 1
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128 Mean squared displacement a cen
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130 Mean squared displacement cumen
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132 Mean squared displacement / a
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134 Mean squared displacement I P i
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136 Mean squared displacement as be
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Résumé du chapitre 8 Le pic de bo
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142 Boson Peak The FEC-model sugges
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144 Boson Peak the Qout Q in factor
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146 Boson Peak We are mainly intere
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148 Boson Peak 1.5 x 10−3 ω [meV
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150 Boson Peak comparison of the ev
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152 Boson Peak In figure 8.6 we sho
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154 Boson Peak Predictions/explanat
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156 Boson Peak meaning that the Deb
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158 Boson Peak g(ω)/ω 2 [arb. uni
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160 Boson Peak are equivalent becau
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162 Boson Peak m P /m ρ 2 1.8 1.6
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164 Boson Peak S(ω) [arb.unit] S(
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166 Boson Peak 3 2.5 S(ω) [arb. un
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168 Boson Peak perature effect on t
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Chapter 9 Summarizing discussion Wh
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173 temperature in the harmonic app
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Chapter 10 Perspectives In this wor
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178 BIBLIOGRAPHY Angell, C. A. [199
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180 BIBLIOGRAPHY Casalini, R. and R
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182 BIBLIOGRAPHY Farago, B., Arbe,
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184 BIBLIOGRAPHY Inamura, Y., Arai,
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186 BIBLIOGRAPHY Monaco, A., Chumak
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188 BIBLIOGRAPHY Patkowski, A., Gap
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190 BIBLIOGRAPHY Sekula, M., Pawlus
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Appendix A Details on the samples T
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A.1. Cumene 195 the value found fro
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A.2. PIB 197 The temperature depend
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A.4. DBP 199 peak differently at di
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A.6. Other samples 201 NH 2 tempera
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Appendix B Data compilations B.1 Da
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B.1. Data compilation 205 DHIQ = De
Page 217 and 218:
B.1. Data compilation 207 Triphenyl
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Appendix C Dielectric setup Figure
Page 222:
Abstract The degree of departure fr
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