Colored non-Gaussian noise driven systems: Mean first passage time

We have examined the mean first passage time (<InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\langle T\rangle$</EquationSource> </InlineEquation>) for a particle driven by colored non-Gaussian noise. As we depart from the Gaussian behavior, the <InlineEquation ID="Equ2"> <EquationSource Format="TEX">$\langle T\rangle$</EquationSource> </InlineEquation> decreases regularly to a limiting value, i.e., the barrier crossing rate can be accelerated to a limiting value by increasing the non-Gaussianity of the noise. For the non-Gaussian noise driven process <InlineEquation ID="Equ3"> <EquationSource Format="TEX">$\langle T\rangle$</EquationSource> </InlineEquation> increases linearly with increasing damping constant or noise correlation time. But this increasing behavior is almost exponential in nature for the Gaussian noise driven process. Copyright Springer-Verlag Berlin/Heidelberg 2003