Corpus ID: 14300443

Partially Reflected Brownian Motion: A Stochastic Approach to Transport Phenomena

  title={Partially Reflected Brownian Motion: A Stochastic Approach to Transport Phenomena},
  author={D. Grebenkov},
  journal={arXiv: Probability},
  • D. Grebenkov
  • Published 2006
  • Mathematics, Physics
  • arXiv: Probability
  • Transport phenomena are ubiquitous in nature and known to be important for various scientific domains. Examples can be found in physics, electrochemistry, heterogeneous catalysis, physiology, etc. To obtain new information about diffusive or Laplacian transport towards a semi-permeable or resistive interface, one can study the random trajectories of diffusing particles modeled, in a first approximation, by the partially refle cted Brownian motion. This stochastic process turns out to be a… CONTINUE READING

    Figures from this paper.

    NMR survey of reflected brownian motion
    • 297
    • Open Access
    A Discrete Stochastic Formulation for Reversible Bimolecular Reactions via Diffusion Encounter
    • 6
    • Highly Influenced
    • Open Access
    Imperfect Diffusion-Controlled Reactions
    • 10
    • Open Access
    A multiscale guide to Brownian motion
    • 9
    • Open Access
    Sweetest taboo processes
    • 3
    • Open Access
    From diffusion in compartmentalized media to non-Gaussian random walks.
    First exit times of harmonically trapped particles: a didactic review
    • 54
    • Open Access


    Publications referenced by this paper.
    NMR survey of reflected brownian motion
    • 297
    • Open Access
    Spectral properties of the Brownian self-transport operator
    • 32
    • Open Access
    Brownian flights over a fractal nest and first-passage statistics on irregular surfaces.
    • 42
    • Open Access
    What makes a boundary less accessible.
    • 22
    • Open Access
    Numerical Approximation for Functionals of Reflecting Diffusion Processes
    • 51
    Handbook of Brownian Motion - Facts and Formulae
    • 1,622
    • Open Access
    Two . dimensional Brownian Motion and Harmonic Functions
      • 100
      • Open Access
      • 26
      • Open Access
      New simple properties of a few irregular systems
      • 8
      • Open Access