Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 3, 2016
Anomalous diffusion
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Page(s) | 63 - 75 | |
DOI | https://doi.org/10.1051/mmnp/201611305 | |
Published online | 21 June 2016 |
- N. Agmon. Residence times in diffusion processes J. Chem. Phys. 81 (1984), 3644-3647. [CrossRef] [Google Scholar]
- A. Bar-Haim, J. Klafter. On mean residence and first passage times in finite one-dimensional systems J. Chem. Phys. 109 (1998), 5187-5193. [CrossRef] [Google Scholar]
- A. Cairoli, A. Baule. Anomalous processes with general waiting times: functionals and multi-point structures arXiv:1411.7005[cond-mat.stat-mech]. [Google Scholar]
- S. Carmi, L. Turgeman, E. Barkai. On distributions of functionals of anomalous diffusion paths: a fractional Feynman-Kac approach J. Stat. Phys. 141 (2010), 1071-1092. [CrossRef] [Google Scholar]
- G. Foltin, K. Oerding, Z. Racz, R.L. Workman, R.P.K. Zia. Width distribution for random-walk interfaces Phys. Rev. E 50 (1994), R639. [CrossRef] [Google Scholar]
- A.H. Gandjbakhche, G.H. Weiss. Descriptive parameter for photon trajectories in a turbid medium Phys. Rev. E 61 (2000), 6958-6970. [CrossRef] [Google Scholar]
- K. Godzik, W. Schirmacher. Theory of dispersive transport in amorphous semiconductors J. de Phys. (Paris) 42 (1981), 127-131. [CrossRef] [EDP Sciences] [Google Scholar]
- D.S. Grebenkov. Residence times and other functionals of reflected Brownian motion Phys. Rev. E 76 (2007), 041139. [CrossRef] [Google Scholar]
- D.S. Grebenkov. NMR survey of reflected Brownian motion Rev. Mod. Phys. 79 (2007), 1077-1137. [CrossRef] [Google Scholar]
- R.L. Jack, P. Sollich. Duality symmetries and effective dynamics in disordered hopping models J. Stat. Mech.: Theory and Experiment (2009), P11011. [Google Scholar]
- M. Kac. On distributions of certain Wiener functionals Trans. Am. Math. Soc. 65 (1949), 1-13. [Google Scholar]
- V.M. Kenkre, Z. Kalay, P.E. Parris. Extensions of effective-medium theory of transport in disordered systems Phys. Rev. E 79 (2009), 011114. [CrossRef] [Google Scholar]
- S.N. Majumdar, A. Comtet. Local and occupation time of a particle diffusing in a random medium Phys. Rev. Lett. 89 (2002), 060601. [CrossRef] [PubMed] [Google Scholar]
- S.N. Majumdar. Brownian functionals in physics and computer science Curr. Sci. 89 (2005), 2076. [Google Scholar]
- B. Movaghar, M. Grunewald, B. Pohlmann, et al. Theory of hopping and multiple-trapping in disordered systems J. Stat. Phys. 30 (1983), 315-334. [CrossRef] [Google Scholar]
- O. Ovaskainen, S.J. Cornell. Biased movement at a boundary and conditional occupancy times for diffusion processes J. Appl. Prob. 40 (2003), 557-580. [CrossRef] [Google Scholar]
- S. Sabhapandit, S.N. Majumdar, A. Comtet. Statistical properties of functionals of the paths of a particle diffusing in a one-dimensional random potential Phys. Rev. E 73 (2006), 051102. [CrossRef] [Google Scholar]
- W. Schirmacher. Microscopic theory of dispersive transport in disordered semiconductors Sol. State Comm. 39 (1981), 893-897. [CrossRef] [Google Scholar]
- V.P. Shkilev. Equations for the Distributions of Functionals of a Random-Walk Trajectory in an Inhomogeneous Medium J. Exp. Theor. Phys. 114 (2012), 172-181. [CrossRef] [Google Scholar]
- V.P. Shkilev. Boundary conditions for the subdiffusion equation J. Exp. Theor. Phys. 116 (2013), 703-710. [CrossRef] [Google Scholar]
- V.P. Shkilev. Subdiffusion of mixed origin with chemical reactions J. Exp. Theor. Phys. 117 (2013), 1066-1070. [CrossRef] [Google Scholar]
- L. Turgeman, S. Carmi, E. Barkai. Fractional Feynman-Kac equation for non-Brownian functionals Phys. Rev. Lett. 103 (2009), 190201. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
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