H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 88 Citations 36,122 324 World Ranking 39 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2017-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2017 and 2021, his most popular works were:

  • 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.

Top Publications

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

Ralf Metzler;Joseph Klafter.
Physics Reports (2000)

8271 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)

2281 Citations

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking.

Ralf Metzler;Ralf Metzler;Jae-Hyung Jeon;Andrey G. Cherstvy;Eli Barkai.
Physical Chemistry Chemical Physics (2014)

1052 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)

810 Citations

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

E. Barkai;R. Metzler;J. Klafter.
Physical Review E (2000)

761 Citations

Generalized viscoelastic models: their fractional equations with solutions

H Schiessel;R Metzler;A Blumen;T F Nonnenmacher.
Journal of Physics A (1995)

633 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)

580 Citations

Relaxation in filled polymers: A fractional calculus approach

Ralf Metzler;Winfried Schick;Hanns‐Georg Kilian;Theo F. Nonnenmacher.
Journal of Chemical Physics (1995)

552 Citations

Boundary value problems for fractional diffusion equations

Ralf Metzler;Joseph Klafter.
Physica A-statistical Mechanics and Its Applications (2000)

516 Citations

Random time-scale invariant diffusion and transport coefficients.

Y. He;S. Burov;R. Metzler;E. Barkai.
Physical Review Letters (2008)

513 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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