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First-passage-time processes and subordinated Schramm-Loewner evolution

Nezhadhaghighi, M. G ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.84.011134
  3. Publisher: 2011
  4. Abstract:
  5. We study the first-passage-time processes of the anomalous diffusion on the self-similar curves in two dimensions. The scaling properties of the mean-square displacement and mean first passage time of the fractional Brownian motion and subordinated walk on the different fractal curves (loop-erased random walk, harmonic explorer, and percolation front) are derived. We also define natural parametrized subordinated Schramm-Loewner evolution (NS-SLE) as a mathematical tool that can model diffusion on fractal curves. The scaling properties of the mean-square displacement and mean first passage time for NS-SLE are obtained by numerical means
  6. Keywords:
  7. Anomalous diffusion ; Fractal curves ; Fractional Brownian motion ; Mathematical tools ; Mean first passage time ; Mean-square displacement ; Random Walk ; Scaling properties ; Self-similar ; Two-dimension ; Brownian movement ; Solvents ; Fractals
  8. Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 84, Issue 1 , July , 2011 ; 15393755 (ISSN)
  9. URL: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.011134