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 shipping methods that can not be defined through the use of average tools of statistical mechanics. It comprehensively summarizes themes 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 techniques from many alternative disciplines whereas delivering updated insurance of this new box of study, contemplating such different functions as plasma physics, glassy fabric, telephone technological know-how, and socio-economic facets. The booklet can 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 stepping into this region. 18 chapters written by way of the world over famous specialists during this box offer in-depth introductions to basic points of anomalous delivery.

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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. Soc. Franc. Phys. 57, 56 (1985). 4 M. Pettini, A. H. Misguich, M. de Leener, J. Orban, and R.

Balescu, “Anomalous transport in turbulent plasmas and continuous time random walks”, Phys. Rev. E 51, 4807 (1995). 14 R. Balescu, Aspects of Anomalous Transport in Plasmas (IOP, Bristol, 2005). Part I Fractional Calculus and Stochastic Theory 15 Introduction to Part I The opening Part I of this book is devoted to Fractional calculus and stochastic theory. It presents in detail the theoretical and mathematical foundations of the formalism describing anomalous transport, such as fractional differentials and fractional differential equations, and gives a modern outline of random walk approaches to anomalous transport.

And he turned out to be much more than the very 9 10 1 In Memoriam: Radu Balescu bright and technically gifted scientist we expected him to be. We met a man with the greatest scientific honesty and as critical with our ideas as he was with his own. Regretfully, this kind of “symmetry” is not commonly found in the competitive arena that scientific research has become. It is just one of the reasons for which, without a doubt, I can say that he will be missed. 6 Remembering Radu Balescu by Diego del-Castillo-Negrete Radu Balescu once wrote: “I have been ’in love’ with the statistical mechanics of plasma physics over my whole scientific career” [5].

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