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- Ralf Metzler

Mathematics

Germany

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
88
Citations
37,812
358
World Ranking
56
National Ranking
1

2023 - Research.com Mathematics in Germany Leader Award

2022 - Research.com Mathematics in Germany Leader Award

- Quantum mechanics
- Mathematical analysis
- Statistics

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.

- The random walk's guide to anomalous diffusion: a fractional dynamics approach (5647 citations)
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics (1742 citations)
- Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. (867 citations)

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.

- Statistical physics (61.21%)
- Anomalous diffusion (43.08%)
- Brownian motion (28.30%)

- Statistical physics (61.21%)
- Brownian motion (28.30%)
- Anomalous diffusion (43.08%)

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.

- Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion (82 citations)
- Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control (73 citations)
- Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers (52 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler;Joseph Klafter.

Physics Reports **(2000)**

8966 Citations

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)**

2428 Citations

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)**

1311 Citations

Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach

Ralf Metzler;Eli Barkai;Joseph Klafter.

Physical Review Letters **(1999)**

859 Citations

From continuous time random walks to the fractional fokker-planck equation

E. Barkai;R. Metzler;J. Klafter.

Physical Review E **(2000)**

820 Citations

Generalized viscoelastic models: their fractional equations with solutions

H Schiessel;R Metzler;A Blumen;T F Nonnenmacher.

Journal of Physics A **(1995)**

700 Citations

In Vivo Anomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules

Jae-Hyung Jeon;Vincent Tejedor;Stas Burov;Eli Barkai.

Physical Review Letters **(2011)**

632 Citations

Relaxation in filled polymers: A fractional calculus approach

Ralf Metzler;Winfried Schick;Hanns‐Georg Kilian;Theo F. Nonnenmacher.

Journal of Chemical Physics **(1995)**

596 Citations

Boundary value problems for fractional diffusion equations

Ralf Metzler;Joseph Klafter.

Physica A-statistical Mechanics and Its Applications **(2000)**

560 Citations

Random time-scale invariant diffusion and transport coefficients.

Y. He;S. Burov;R. Metzler;E. Barkai.

Physical Review Letters **(2008)**

548 Citations

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