2023 - Research.com Mathematics in Germany Leader Award
2022 - Research.com Mathematics in Germany Leader Award
His main research concerns Statistical physics, Anomalous diffusion, Random walk, Brownian motion and Stochastic process. His research in Statistical physics intersects with topics in Particle, Fokker–Planck equation, Ergodicity, Continuous-time random walk and Scaling. Ralf Metzler interconnects Chemical physics, Fractional Brownian motion, Classical mechanics, Diffusion equation and Mean squared displacement in the investigation of issues within Anomalous diffusion.
His Random walk research is multidisciplinary, incorporating perspectives in Basis, Jump, Displacement and Fractional dynamics. His Brownian motion study integrates concerns from other disciplines, such as Amplitude and Bounded function. His Stochastic process research integrates issues from Distribution and Lévy flight.
Ralf Metzler mainly focuses on Statistical physics, Anomalous diffusion, Brownian motion, Stochastic process and Mean squared displacement. His work deals with themes such as Probability density function, Ergodicity, Continuous-time random walk, Random walk and Scaling, which intersect with Statistical physics. His Ergodicity research incorporates elements of Ergodic theory and Observable.
His research integrates issues of Fractional Brownian motion, Particle, Mathematical analysis, Amplitude and Diffusion equation in his study of Anomalous diffusion. His studies in Brownian motion integrate themes in fields like Langevin equation, Diffusion process and Gaussian. His work on Stochastic process is being expanded to include thematically relevant topics such as Classical mechanics.
The scientist’s investigation covers issues in Statistical physics, Brownian motion, Anomalous diffusion, Probability density function and Stochastic process. His study in Statistical physics is interdisciplinary in nature, drawing from both Distribution, Ergodicity, Mean squared displacement, Gaussian and Random walk. The concepts of his Ergodicity study are interwoven with issues in Ergodic theory, Relaxation and Scaling.
His studies deal with areas such as Wiener process, Thermal diffusivity, Spectral density and Particle as well as Brownian motion. His biological study spans a wide range of topics, including Fractional Brownian motion, Gaussian noise and Diffusion process. His Probability density function study incorporates themes from Lévy flight, Mathematical analysis, Domain, Langevin equation and First-hitting-time model.
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The random walk's guide to anomalous diffusion: a fractional dynamics approach
Ralf Metzler;Joseph Klafter.
Physics Reports (2000)
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
Ralf Metzler;Joseph Klafter.
Journal of Physics A (2004)
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking.
Ralf Metzler;Jae Hyung Jeon;Andrey G. Cherstvy;Eli Barkai.
Physical Chemistry Chemical Physics (2014)
Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach
Ralf Metzler;Eli Barkai;Joseph Klafter.
Physical Review Letters (1999)
From continuous time random walks to the fractional fokker-planck equation
E. Barkai;R. Metzler;J. Klafter.
Physical Review E (2000)
Generalized viscoelastic models: their fractional equations with solutions
H Schiessel;R Metzler;A Blumen;T F Nonnenmacher.
Journal of Physics A (1995)
In Vivo Anomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules
Jae-Hyung Jeon;Vincent Tejedor;Stas Burov;Eli Barkai.
Physical Review Letters (2011)
Relaxation in filled polymers: A fractional calculus approach
Ralf Metzler;Winfried Schick;Hanns‐Georg Kilian;Theo F. Nonnenmacher.
Journal of Chemical Physics (1995)
Boundary value problems for fractional diffusion equations
Ralf Metzler;Joseph Klafter.
Physica A-statistical Mechanics and Its Applications (2000)
Random time-scale invariant diffusion and transport coefficients.
Y. He;S. Burov;R. Metzler;E. Barkai.
Physical Review Letters (2008)
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