Brownian motion in short range random potentials

Journal Article · Tue Sep 01 00:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.2833· OSTI ID:641616

Romero, A H ^[1]; Romero, A H ^[2]; Sancho, J M ^[3]

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1. Department of Physics, University of California, San Diego, La Jolla, California 92093-0354 (United States)
2. Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093-0340 (United States)
3. Institute for Nonlinear Science, Department 0407, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0407 and Departament dEstructura i Constituents de la Materia, Avenida Diagonal 647, 08028 Barcelona (Spain)

A numerical study of Brownian motion of noninteracting particles in random potentials is presented. The dynamics are modeled by Langevin equations in the high friction limit. The random potentials are Gaussian distributed and short ranged. The simulations are performed in one and two dimensions. Different dynamical regimes are found and explained. Effective subdiffusive exponents are obtained and commented on. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 641616
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 58; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BROWNIAN MOVEMENT
DIFFUSION
GAUSSIAN PROCESSES
LANGEVIN EQUATION
NUMERICAL SOLUTION
POTENTIALS
STOCHASTIC PROCESSES