Stochastic models of aggregation with injection

[目次]

  • Contents
  • Acknowledgements
  • 1.Introduction
  • 1.1 Approaches to non-equilibrium irreversible processes / 1-1
  • 1.2 Random aggregating systems observed in nature / 1-6
  • 2.Scheidegger's river model
  • 2.1 The model and the basic equations / 2-1
  • 2.2 Solution for no injection / 2-12
  • 2.3 The steady state charge distribution in the case of injection / 2-16
  • 2.4 Intuitive prospects and other approaches / 2-30
  • 2.5 Uniqueness and stability / 2-39
  • 2.6 Relaxation / 2-42
  • 2.7 Critical dimensions of the model / 2-52
  • 2.8 Discussion / 2-54
  • 3.Extended versions of the model
  • 3.1 Aggregation of exponentially growing particles / 3-1
  • 3.2 Non-Gaussian distribution in random transport dynamics / 3-12
  • 3.3 Scheidegger's model of mass-dependent random walk / 3-22
  • 4.Spatial correlation
  • 4.1 Subtle spatial correlation in Scheidegger's river model / 4-1
  • 4.2 Multifractal analysis / 4-4
  • 4.3 Generalized correlation function / 4-14
  • 4.4 Interval distribution of level set / 4-19
  • 4.5 Conclusion / 4-34
  • Appendices
  • Appendix (1) / A-1
  • Appendix (2) / A-4
  • Appendix (3) / A-7
  • Appendix (4) / A-10
  • References

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この本の情報

書名 Stochastic models of aggregation with injection
著作者等 高安 美佐子
書名別名 注入のある凝集系の統計的モデル
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