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Mathematics
Germany
2026

D-Index & Metrics

Mathematics

D-Index
98
Citations
47905
World Ranking
52
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in Germany Leader Award
  • 2025 - Research.com Mathematics in Germany Leader Award
  • 2023 - Research.com Mathematics in Germany Leader Award

Overview

Ralf Metzler is affiliated with the University of Potsdam in Germany and conducts research at the intersection of physics and molecular biology. Their work prominently spans domains such as Statistical and Nonlinear Physics, Molecular Biology, and Modeling and Simulation. Metzler's publications cover a diverse range of subfields, including Condensed Matter Physics and Economics and Econometrics.

Their research addresses main topics related to fractional differential equations solutions, stochastic dynamics and bifurcation, diffusion and search dynamics, advanced thermodynamics and statistical mechanics, as well as complex systems and time series analysis. Additional focal points of their work lie in statistical mechanics and entropy, together with material dynamics and properties.

Metzler has contributed to numerous scientific journals and repositories. The most frequent publication venues include:

  • arXiv (Cornell University)
  • Physical Review E
  • New Journal of Physics
  • Journal of Physics A Mathematical and Theoretical
  • Physical Review Research

Coauthorship plays a significant role in Metzler's research output, frequently collaborating with several researchers. The most common coauthors are:

  • Aleksei V. Chechkin
  • Andrey G. Cherstvy
  • Trifce Sandev
  • Wei Wang
  • Igor M. Sokolov

Recent publications by Metzler and collaborators examine phenomena in non-Gaussian diffusion and fractional Brownian motion. Examples of papers include:

  • Superstatistics and non-Gaussian diffusion, 2020, The European Physical Journal Special Topics
  • Universal Relation between Instantaneous Diffusivity and Radius of Gyration of Proteins in Aqueous Solution, 2021, Physical Review Letters
  • Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time, 2020, Journal of Physics A Mathematical and Theoretical
  • Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes, 2021, Physical Review E
  • Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise, 2020, Physical Review E

Best Publications

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

    Ralf Metzler;Joseph Klafter

  • The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

    Ralf Metzler;Joseph Klafter

  • 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

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

    Ralf Metzler;Eli Barkai;Joseph Klafter

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

    E. Barkai;R. Metzler;J. Klafter

  • Generalized viscoelastic models: their fractional equations with solutions

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

  • In Vivo Anomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules

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

  • Relaxation in filled polymers: A fractional calculus approach

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

  • Random time-scale invariant diffusion and transport coefficients.

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

  • Boundary value problems for fractional diffusion equations

    Ralf Metzler;Joseph Klafter

  • Fractional model equation for anomalous diffusion

    Ralf Metzler;Walter G. Glöckle;Theo F. Nonnenmacher

  • Fractional dynamics : recent advances

    Joseph Klafter;S C Lim;Ralf Metzler

  • Lévy flights in external force fields: Langevin and fractional Fokker-Planck equations and their solutions

    Sune Jespersen;Ralf Metzler;Hans C. Fogedby

  • The generalized Cattaneo equation for the description of anomalous transport processes

    Albert Compte;Ralf Metzler

  • Brownian yet Non-Gaussian Diffusion: From Superstatistics to Subordination of Diffusing Diffusivities

    Aleksei V. Chechkin;Aleksei V. Chechkin;Flavio Seno;Ralf Metzler;Igor M. Sokolov

  • Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking

    Stas Burov;Jae-Hyung Jeon;Ralf Metzler;Eli Barkai

  • First-passage phenomena and their applications

    Ralf Metzler;Gleb Oshanin;Sidney Redner

  • Deriving fractional Fokker-Planck equations from a generalised master equation

    R. Metzler;E. Barkai;J. Klafter

  • Anomalous diffusion of phospholipids and cholesterols in a lipid bilayer and its origins.

    Jae-Hyung Jeon;Hector Martinez-Seara Monne;Matti Javanainen;Ralf Metzler;Ralf Metzler

  • Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes

    Andrey G Cherstvy;Aleksei V Chechkin;Ralf Metzler;Ralf Metzler

  • Fractional Calculus: An Introduction for Physicists

    Ralf Metzler

  • Anomalous diffusion models and their properties

    Ralf Metzler;Jae-Hyung Jeon;Andrey G. Cherstvy;Eli Barkai

Frequent Co-Authors

Joseph Klafter
Joseph Klafter Tel Aviv University
Igor M. Sokolov
Igor M. Sokolov Tufts University
Gleb Oshanin
Gleb Oshanin Sorbonne University
Denis S. Grebenkov
Denis S. Grebenkov École Polytechnique
Brian Berkowitz
Brian Berkowitz Weizmann Institute of Science
Gijs J. L. Wuite
Gijs J. L. Wuite Vrije Universiteit Amsterdam
Holger Kantz
Holger Kantz Max Planck Institute for the Physics of Complex Systems
Tapio Ala-Nissila
Tapio Ala-Nissila Aalto University
Jozef Adamcik
Jozef Adamcik ETH Zurich

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