Stationary diffusion over a multidimensional potential barrier: A generalization of Kramers' formula

Journal Article · Sun Jan 01 04:00:00 EST 1984 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01770354· OSTI ID:6583270

Weienmueller, H A; Jing-Shang, Z

We consider diffusion over a potential barrier for n degrees of freedom. Generalizing the procedure of Kramers, we find a quasistationary solution to the associated Fokker-Planck equation. This yields an expression for the diffusion current over the barrier and, finally a simple and elegant generalization of Kramers' formula for the diffusion rate.

• Research Organization: Max-Planck-Institut fuer Kernphysik, Heidelberg, Federal Republic of Germany
• OSTI ID: 6583270
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 34:1; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

653006* -- Nuclear Theory-- Spontaneous & Induced Fission
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIFFERENTIAL EQUATIONS
DIFFUSION
EIGENVALUES
EQUATIONS
FISSION
FISSION BARRIER
FOKKER-PLANCK EQUATION
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEAR TEMPERATURE
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS