Diffusion and Reactions in Fractals and Disordered Systems: References
By Daniel ben-Avraham, Shlomo Havlin. 2000
657 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/aeef426a5ecaa56afa658788e063a111aac6fc5a
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Citations in the corpus
- Self-organized adaptation of a simple neural circuit enables complex robot behaviour (2010, background): “exponent β (6) as a function of p (no fit parameter) systematically well predicts those found from fitting the data in a (red dots).”
- Halting viruses in scale-free networks. (2001, background): “While most diffusion processes of practical interest, ranging from the spread of computer viruses to the diffusion of sexually transmitted diseases, take place on complex networks, the bulk of diffusion studies have focused on model systems, such as regular lattices or random networks [1,2].”
- Brownian motion: a paradigm of soft matter and biological physics (2005, background): “A common paradigm based on spatial correlations is diffusion in a porous medium with a very broad pore size distribution, idealized as diffusion on a fractal [155,156].”
- FRACTIONAL HEAT CONDUCTION EQUATION AND ASSOCIATED THERMAL STRESS (2004, background): “Several physical mechanisms of anomalous diffusion (both subdiffusion and superdiffusion) have been discussed [ 40-43 ].”
- Fractal and transfractal recursive scale-free nets (2006, background): “6 This property is related to finite ramification [7] in fractals, but is not exactly the same.”
- Modern temporal network theory: a colloquium (2015, background): “Random walks are a very fundamental stochastic process with applications in many areas, from physics to economy, biology and social science [28].”
- Random walks and diffusion on networks (2016, unknown): “(51) 10”
- Anomalous transport in the crowded world of biological cells (2013, methodology): “lattice percolation clusters, see [50, 108] and section 3.”