Chairman: J. Jordan (USA); Secretary: K. Izutsu (Japan); Titular Members: A. K. Covington (UK); J. Juillard (France); R. C. Kapoor (India); E. Pungor (Hungary); Associate Members: W. Davison (UK); R. A.. Durst (USA); M. Gross (France); K. M. Kadish (USA); R. Kalvoda (Czechoslovakia); H. Kao (China); Y. Marcus (Israel); T. Mussini (Italy); H. W. Nurnberg (FRG); M. Senda (Japan); N. Tanaka (Japan...

We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group machine, for solving the flow equation, all the universal features of the one-loop beta-functions are recovered. While the universal part of the beta-functions adm...

Turbulence is a complex nonlinear and multi-scale phenomenon. Although the fundamental underlying Navier-Stokes equations have been known for two centuries, it remains extremely challenging to extract from them statistical properties of turbulence. Therefore, practical purpose, sustained effort has devoted obtaining some effective description turbulence, that we may call turbulence modelling, o...

Yasir Iqbal, ∗ Ronny Thomale, † Francesco Parisen Toldin, ‡ Stephan Rachel, § and Johannes Reuther 4, ¶ Institute for Theoretical Physics and Astrophysics, Julius-Maximilians University of Würzburg, Am Hubland, D-97074 Würzburg, Germany Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Fre...

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

We study the growth of a crystal in presence of a correlated disorder on the substrate. Using functional renormalization group, we show, for a long range disorder correlation, an initial decay of the KPZ type nonlinearity, though over a large length scale the behavior can be governed by the nonlinearity.