Effect Of Local Heating On Escape And Equilibration Rates In A Bistable Potential

The detailed kinetic aspect of the Landauer's blow-torch theorem isrninvestigated for two models of non-homogeneous media, proposedrnby Landauer and by van Kampen. For both models, we considered arnsymmetric W-potential with hot locality temperature profile andrnapplied the Brinkman's method to obtain analytic expressions for thernescape and equilibration rates. The escape and equilibration ratesrnare functions of strength, position and width of the hot locality, andrnthe barrier height. We find that the presence of the hot locality hasrnimproved the equilibration rates for both models. The calculation alsornreveals that the equilibration rate for Landauer's model has anrnoptimal position where it gets its maximum value while for the vanrnKampen's model it is an increasing function of position

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