Abstract
Several methods for approximating lifetime densities in terms of moments for systems with trapping mechanisms are compared for a simple example involving free diffusion in an interval with absorbing and reflecting end points. An approximation in terms of a sum of exponentials gives an adequate representation when the initial distribution corresponds to equilibrium. When the diffusing particle is initially located at a specific point a maximum entropy density yields a more accurate approximation when both positive and negative moments are used. The accuracy of the approximation deteriorates as the initial point approaches the absorbing boundary for both methods, but it is not as fast in the case of the maximum entropy approach as it is for a method based on a sum of exponentials.
Original language | English |
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Pages (from-to) | 6884-6887 |
Number of pages | 4 |
Journal | Journal of Physical Chemistry |
Volume | 93 |
Issue number | 19 |
DOIs | |
State | Published - 1989 |