Concepedia

Diffusion Equation

Diffusion Equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic process, specifically characterizing the spread of particles or quantities under random motion in continuous space and time.

8.1K

Publications

418.8K

Citations

13.8K

Authors

3.3K

Institutions

Publications per year

2017–2026

1.4K

Variants

Diffusion Equations

Parents

Publications

8.1K

Stochastic Differential Equations and Diffusion Processes

Gopinath Kallianpur, Nobuyuki Ikeda, Shinzo Watanabe · Technometrics · 1983 · 3.9K citations

, , +11

Reproducing kernel particle methods

Wing Kam Liu, Sukky Jun, Yi Fei Zhang · International Journal for Numerical Methods in Fluids · 1995 · 2.8K citations

, , +12

<i>Electric Fields of the Brain: The Neurophysics of EEG</i>

Paul L. Nunez, E. Harth · Physics Today · 1982 · 2.3K citations

, , +17

Catalytic Nanomotors:  Autonomous Movement of Striped Nanorods

Walter F. Paxton, Kevin C. Kistler, Christine C. Olmeda et al. · Journal of the American Chemical Society · 2004 · 2.1K citations

, , +17

Multidimensional nonlinear diffusion arising in population genetics

D. G. Aronson, Hans F. Weinberger · Advances in Mathematics · 1978 · 1.9K citations

, , +14

1–5 of 8.1K

Authors

13.8K

  1. IT
    Ian Turner

    Queensland University of Technology, Australia

    34 publications · 4K citations

    26

    h-index

  2. FL
    Fawang Liu

    Queensland University of Technology, Australia

    37 publications · 2.7K citations

    26

    h-index

  3. TW
    Ting Wei

    Lanzhou University, China

    29 publications · 1.6K citations

    24

    h-index

  4. MD
    Mehdi Dehghan

    Amirkabir University of Technology, Iran

    34 publications · 2.2K citations

    24

    h-index

  5. EK
    E. K. Lenzi

    Universidade Estadual de Maringá, Brazil

    43 publications · 1.5K citations

    23

    h-index

1–5 of 13.8K

Institutions

3.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    44 h-index

    399 publications

    15K citations

  2. Queensland University of Technology

    Brisbane, Australia

    37 h-index

    145 publications

    12.5K citations

  3. The University of Tokyo

    Tokyo, Japan

    36 h-index

    120 publications

    7K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    33 h-index

    108 publications

    14.2K citations

  5. Lanzhou University

    Lanzhou, China

    33 h-index

    150 publications

    7.6K citations

  6. University of Oxford

    Oxford, United Kingdom

    32 h-index

    91 publications

    11.5K citations

  7. Universidad Autónoma de Madrid

    Madrid, Spain

    29 h-index

    75 publications

    4K citations

  8. University of Minnesota

    Minneapolis, United States

    29 h-index

    78 publications

    11.9K citations

1–8 of 3.3K

Venues

  1. The Journal of Chemical Physics

    232 publications · 16K citations

    57

    h-index

  2. Physical Review Letters

    PRL · 100 publications · 7.5K citations

    48

    h-index

  3. Journal of Computational Physics

    93 publications · 11.4K citations

    46

    h-index

  4. Journal of Differential Equations

    101 publications · 6.2K citations

    43

    h-index

  5. 43

    h-index

1–5