By Rainer Klages, Günter Radons, Igor M. Sokolov
This multi-author reference paintings presents a distinct advent to the at present rising, hugely interdisciplinary box of these delivery approaches that can not be defined by utilizing general tools of statistical mechanics. It comprehensively summarizes issues starting from mathematical foundations of anomalous dynamics to the latest experiments during this box. In so doing, this monograph extracts and emphasizes universal rules and strategies from many alternative disciplines whereas delivering updated assurance of this new box of study, contemplating such diversified purposes as plasma physics, glassy fabric, cellphone technological know-how, and socio-economic facets. The publication might be of curiosity to either theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic techniques. It additionally varieties a fantastic start line for graduate scholars entering into this sector. 18 chapters written via the world over well-known specialists during this box offer in-depth introductions to primary facets of anomalous shipping.
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This ebook arises out of a direction i'm instructing for a two-credit (26 hour) graduate-level path Monte Carlo tools being taught on the division of Nuclear Engineering and Radiological Sciences on the college of Michigan.
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Extra resources for Anomalous Transport: Foundations and Applications (Wiley 2008)
Although with his characteristic modesty Radu referred to them as preliminary, the notes contained not only a valuable summary of fractional calculus, but also a very interesting discussion on the connection between particle dynamics with random velocity (V-Langevin equation), the CTRW model, and fractional diffusion. ” At this point Radu was fully engaged in the study of fractional diffusion. The year was 2006 and I had received an invitation to participate in the summer workshop on “Anomalous Transport: Experimental Results and Theoretical Challenges” in Bad Honnef, Germany.
Ph. van Milligen, “Renormalization of tracer turbulence leading to fractional differential equations”, Phys. Rev. E 74, 016305 (2006). 2 R. A. Carreras, and B. Ph. van Millegen, “Radu Balescu and the search for a stochastic description of turbulent transport in plasma”, Phys. Ann. Univ. Cracovia 17, 27 (2007) (special issue In Memoriam of Radu C. Balescu (1932–2006)). 3 M. De Leener, J. Orban, M. Pettini, A. H. Misguich, and R. Balescu, in Proceedings of the Congrès Société Francaise de Physique, Nice, 1985, Bull.
2: Neoclassical Transport (North-Holland, Amsterdam, 1988). 11 12 References 6 F. Mainardi, Yu. Luchko, and G. Pagnini, “The fundamental solution of the spacetime fractional diffusion equation”, Fract. Calc. Appl. Anal. 4, 153 (2001). org/abs/cond-mat/0702419] 7 R. Balescu, “V-Langevin equations, continuous time random walks and fractional diffusion”, Chaos, Solitons and Fractals 34, 62 (2007). 8 P. Allegrini, P. J. West, “Preface”, Chaos, Solitons & Fractals 34, 1 (2007). 9 R. plasma-ph], 19 April 2007, p.