Stochastic models of aggregation with injection

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identifier:oai:t2r2.star.titech.ac.jp:99004507

Contents / (0005.jp2)
Acknowledgements / (0007.jp2)
1.Introduction / (0008.jp2)
1.1 Approaches to non-equilibrium irreversible processes / 1-1 / (0009.jp2)
1.2 Random aggregating systems observed in nature / 1-6 / (0012.jp2)
2.Scheidegger's river model / (0015.jp2)
2.1 The model and the basic equations / 2-1 / (0016.jp2)
2.2 Solution for no injection / 2-12 / (0022.jp2)
2.3 The steady state charge distribution in the case of injection / 2-16 / (0024.jp2)
2.4 Intuitive prospects and other approaches / 2-30 / (0031.jp2)
2.5 Uniqueness and stability / 2-39 / (0035.jp2)
2.6 Relaxation / 2-42 / (0037.jp2)
2.7 Critical dimensions of the model / 2-52 / (0042.jp2)
2.8 Discussion / 2-54 / (0043.jp2)
3.Extended versions of the model / (0045.jp2)
3.1 Aggregation of exponentially growing particles / 3-1 / (0046.jp2)
3.2 Non-Gaussian distribution in random transport dynamics / 3-12 / (0052.jp2)
3.3 Scheidegger's model of mass-dependent random walk / 3-22 / (0057.jp2)
4.Spatial correlation / (0060.jp2)
4.1 Subtle spatial correlation in Scheidegger's river model / 4-1 / (0061.jp2)
4.2 Multifractal analysis / 4-4 / (0063.jp2)
4.3 Generalized correlation function / 4-14 / (0068.jp2)
4.4 Interval distribution of level set / 4-19 / (0070.jp2)
4.5 Conclusion / 4-34 / (0078.jp2)
Appendices / (0078.jp2)
Appendix (1) / A-1 / (0079.jp2)
Appendix (2) / A-4 / (0081.jp2)
Appendix (3) / A-7 / (0082.jp2)
Appendix (4) / A-10 / (0084.jp2)
References / (0085.jp2)