DeutschesFachbuch.de : Ageing and the Glass Transition

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Contents
1 Introduction
M. Henkel, M. Pleimling, R. Sanctuary 1
References 6
2 Ageing, Rejuvenation and Memory: The Example of Spin-Glasses
E. Vincent 7
2.1 What is a Spin-Glass?7
2.2 Slow Dynamics and Ageing 11
2.2.1 DC Experiments 11
2.2.2 AC Susceptibility 17
2.2.3 Noise Measurements 19
2.2.4 Rejuvenation by a Stress 25
2.3 Ageing, Rejuvenation and Memory 27
2.3.1 Cooling Rate Effects 27
2.3.2 Memory Dip Experiments 31
2.3.3 Rejuvenation and Memory Versus Cumulative Ageing 36
2.4 Characteristic Length Scales for Ageing 41
2.4.1 Length Scales from Field Variation Experiments 41
2.4.2 Length Scales from Temperature Variation Experiments 45
2.4.3 The Dynamical Correlation Length from Both Temperature and Field Varia...
2.4.4 Separation of Time and Length Scales with Temperature: How Much?53
2.5 Conclusions 55
References 57
3 About the Nature of the Structural Glass Transition: An Experimental Appr...
J.K. Krüger, P. Alnot, J. Bailer, R. Bactavatchalou, S. Dorosz, M. Henkel,...
3.1 Introduction 61
3.2 The Method of Brillouin Spectroscopy 78
3.3 The "Kinetic Face" of the Structural Glass Transition 85
3.4 The Dynamic View of the Thermal Glass Transition 101
3.5 Static Properties at the Thermal Glass Transition 118
3.6 The Role of Non-Linear Elastic Behaviour at the Thermal and Chemical G...
3.7 Conclusion 152
References 153
4 Glassy Behaviours in A-Thermal Systems, the Case of Granular Media: A Te...
O. Dauchot 161
4.1 Introduction 161
4.2 Thermal vs. A-thermal Systems 162
4.2.1 Definitions and General Considerations 162
4.2.2 Illustration in the Context of Stochastic Dynamics 165
4.3 Glassy Behaviour of Granular Media 169
4.3.1 Experimental Evidence of the Analogy at the Macroscopic Level 169
4.3.2 Recent Experimental Results at the Grain Scale 179
4.3.3 Partial Conclusion 192
4.4 Looking for a Statistical Description 193
4.4.1 Edwards' Proposal 194
4.4.2 Experimental Test of Edwards' Proposal?196
4.5 Conclusion and Perspectives 202
References 204
5 Introduction to Simulation Techniques
W. Janke 207
5.1 Introduction 207
5.2 Models and Phase Transitions 209
5.2.1 Models and Observables 209
5.2.2 Phase Transitions 211
5.3 The Monte Carlo Method 216
5.3.1 Importance Sampling 216
5.3.2 Local Update Algorithms 217
5.4 Initial Non-Equilibrium Period and Ageing 222
5.5 Statistical Analysis of Monte Carlo Data 226
5.5.1 Estimators 228
5.5.2 Uncorrelated Measurements and Central-Limit Theorem 228
5.5.3 Correlated Measurements and Autocorrelation Times 229
5.5.4 Bias 231
5.5.5 Numerical Estimation of Autocorrelation Times 232
5.5.6 Binning Analysis 233
5.5.7 Jackknife Analysis 234
5.5.8 A Simplified Model: The Bivariate Gaussian Time Series 235
5.5.9 Applications to the 2 D Ising Model 238
5.6 Cluster Algorithms 239
5.7 Reweighting Techniques 245
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