A functional method is introduced which allows to derive exact solutions for a wide class of Volterra integro-differential equations in terms of Bessel-Clifford functions of half-integer order. These equations are applied to the description of chemical reactions and to the modelling of protein dynamics in non-Markovian cases, thus generalizing the usual Kramers approach in an easily computable way.
Functional-analysis techniques for the dynamics of macromolecules
BONIFAZZI, Claudio;
1998
Abstract
A functional method is introduced which allows to derive exact solutions for a wide class of Volterra integro-differential equations in terms of Bessel-Clifford functions of half-integer order. These equations are applied to the description of chemical reactions and to the modelling of protein dynamics in non-Markovian cases, thus generalizing the usual Kramers approach in an easily computable way.File in questo prodotto:
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