By Rainer Klages, Günter Radons, Igor M. Sokolov
This multi-author reference paintings offers a different creation to the at the moment rising, hugely interdisciplinary box of these delivery tactics that can't be defined through the use of typical 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 strategies from many various disciplines whereas supplying updated insurance of this new box of analysis, contemplating such varied functions as plasma physics, glassy fabric, cellphone technological know-how, and socio-economic facets. The publication can be of curiosity to either theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic techniques. It additionally types an awesome place to begin for graduate scholars stepping into this sector. 18 chapters written by way of across the world famous specialists during this box supply in-depth introductions to basic features of anomalous delivery.
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Extra info for Anomalous Transport: Foundations and Applications (Wiley 2008)
He was awarded the ﬁrst von Engel Prize of the International Conference on Phenomena in Ionised Gases in 1999 and the ﬁrst Hannes Alfvèn Prize of the Plasma Physics Division of the European Physical Society in 2000. Radu Balescu was not only a recognized scientist but also a very appreciated teacher. All along his career, he spread his love of physics amongst his students with brilliance and enthusiasm. Radu Balescu will also be remembered as a true and respected humanist. He was constantly guided by exceptional honesty and integrity in his scientiﬁc career, in the management of his group and in his relationship with colleagues.
Liouville restricts the discussion to functions represented by exponential series with λk > 0 so that f (−∞) = 0. 7) to arrive at formulas that contain the representation of integer order derivatives as limits of difference quotients (see [75, p. 106ff]). 1 Historical Introduction to Fractional Derivatives where the binomial coefﬁcient (mα ) is Γ(α − 1)Γ(m − 1)/Γ(α + m − 1). Later, this idea was taken up by Grünwald , who deﬁned fractional derivatives as limits of generalized difference quotients.
It was a (nice) surprise for me when on November 1, 2005, I received the following kind letter from him: Dear Professor Mainardi, Please let me introduce myself. I am Radu Balescu, professor emeritus at the Université Libre de Bruxelles. I have worked throughout my career on nonequilibrium statistical mechanics, and in particular on its application to plasma physics. I wrote (among others) two books which may be of interest to you: “Statistical Mechanics – Matter out of Equilibrium” (Imperial College Press, 1997) and “Aspects of Anomalous Transport in Plasmas” (Taylor and Francis, 2005).