Effect of Local Heating on Escape and Equilibration Rates in a Bistable Potential
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Date
2000-06
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Addis Ababa University
Abstract
The detailed kinetic aspect of the Landauer's blow-torch theorem is
investigated for two models of non-homogeneous media, proposed
by Landauer and by van Kampen. For both models, we considered a
symmetric W-potential with hot locality temperature profile and
applied the Brinkman's method to obtain analytic expressions for the
escape and equilibration rates. The escape and equilibration rates
are functions of strength, position and width of the hot locality, and
the barrier height. We find that the presence of the hot locality has
improved the equilibration rates for both models. The calculation also
reveals that the equilibration rate for Landauer's model has an
optimal position where it gets its maximum value while for the van
Kampen's model it is an increasing function of position
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Keywords
Effect of Local Heating