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By Günter Radons, Rainer Klages, Igor M. Sokolov
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Additional info for Anomalous Transport Foundations and Applications
His last two papers were published early this year [7,9]. Radu left us with great memories, and long-lasting contributions to statistical mechanics and plasma physics that will inspire many generations to come. References 1 R. A. E. E. 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.
Radu Balescu was a master of statistical mechanics with a deep physical insight. He will certainly be missed, but his scientiﬁc legacy will continue to be inﬂuential. 4 My Memory of Radu Balescu by Francesco Mainardi My ﬁrst acquaintance with Radu Balescu was in the late 1990s through his book Statistical Mechanics – Matter out of Equilibrium (Imperial College Press, 1997). I found his treatment of statistical mechanics very innovative compared to those in the classical books and I much appreciated his chapter on nonGaussian stable probability distributions and generalized master equations.
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.
Anomalous Transport Foundations and Applications by Günter Radons, Rainer Klages, Igor M. Sokolov