Escape rate for a Brownian particle in a potential Well

1976 ◽  
Vol 13 (8) ◽  
pp. 3272-3275 ◽  
Author(s):  
P. B. Visscher
Keyword(s):  
Brownian Particle ◽  
Escape Rate ◽  
Potential Well

Brownian Particle Escape Rate Approaches

2001 ◽  
Vol 194-199 ◽  
pp. 1-16 ◽  
Author(s):  
Jean-Francois Gouyet
Keyword(s):  
Brownian Particle ◽  
Escape Rate

The Escape of Particles from a Confining Potential well

1992 ◽  
Vol 290 ◽  
Author(s):  
James P. Lavine ◽  
Edmund K. Banghart ◽  
Joseph M. Pimbley
Keyword(s):  
Diffusion Coefficient ◽  
Chemical Reactions ◽  
Smoluchowski Equation ◽  
Escape Rate ◽  
Potential Well ◽  
Potential Wells ◽  
Confining Potential ◽  
Potential Shape ◽  
Well Depth ◽  
Electron Devices

AbstractMany electron devices and chemical reactions depend on the escape rate of particles confined by potential wells. When the diffusion coefficient of the particle is small, the carrier continuity or the Smoluchowski equation is used to study the escape rate. This equation includes diffusion and field-aided drift. In this work solutions to the Smoluchowski equation are probed to show how the escape rate depends on the potential well shape and well depth. It is found that the escape rate varies by up to two orders of magnitude when the potential shape differs for a fixed well depth.

Thermal Emission of Electrons from Liquid Helium

1971 ◽  
Vol 26 (9) ◽  
pp. 1392-1397 ◽  
Author(s):  
W . Schoepe ◽  
G . W . Rayfield
Keyword(s):  
Free Surface ◽  
Liquid Helium ◽  
Energy Barrier ◽  
Thermal Emission ◽  
Escape Rate ◽  
Potential Well ◽  
Vapor Interface ◽  
Smoluchowski’S Equation ◽  
Λ Point ◽  
Liquid Vapor

Abstract The free surface of liquid helium acts as an energy barrier for electrons crossing the surface from the liquid into the vapor. The barrier is shown to be induced by the dielectric image-potential acting on the electrons below the liquid vapor interface. The application of an extracting electric field across the surface reduces the barrier and leads to a potential well below the surface which traps the electrons for extended periods of time. The escape into the vapor phase is shown to be dominated by thermal diffusion from the potential well according to Smoluchowski's equation. By measuring the escape rate a barrier height of 43.8 ± 0.7 K has been found. The top of the well lies 25 Å below the liquid vapor interface. Close to the λ-point and at higher temperatures the escape rate deviates from the theory. The relevancy of the present work for previous and further investigations of thermal eelctron emission from liquid helium is discussed.

Stochastic theory of the interaction of ions and quantized vortices in helium II

1969 ◽  
Vol 312 (1511) ◽  
pp. 519-551 ◽  
Keyword(s):  
Potential Barrier ◽  
Vortex Line ◽  
Brownian Particle ◽  
Stochastic Theory ◽  
Planck Equation ◽  
Quantized Vortices ◽  
Two Dimensional ◽  
Potential Well ◽  
Helium Ii ◽  
Vortex Lines

The interaction of ions and quantized vortex lines in helium II is treated by imagining that the motion of the superfluid near a vortex line acts on an ion so as to produce a potential well. The ion itself is looked upon as a Brownian particle immersed in a gas of quasi-particles. The capture of ions is pictured as a process of sedimentation into the well. The escape of the ions from the well is treated as a problem of the escape of a Brownian particle over a potential barrier. A solution of the Fokker-Planck equation for a two-dimensional well is given. Comparison of the theory with a variety of experiments is presented.

Time-dependent escape rate from a potential well

1978 ◽  
Vol 75 (4) ◽  
pp. 561-576 ◽  
Author(s):  
K.M. Hong ◽  
J. Noolandi
Keyword(s):  
Time Dependent ◽  
Escape Rate ◽  
Potential Well
Sign in / Sign up

Export Citation Format

Share Document