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    Stochastic transition states: Reaction geometry amidst noise

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    COPE_047.pdf (750.8Kb)
    Date
    2005-11
    Author
    Bartsch, Thomas
    Uzer, Turgay
    Hernandez, Rigoberto
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    Abstract
    Classical transition state theory (TST) is the cornerstone of reaction-rate theory. It postulates a partition of phase space into reactant and product regions, which are separated by a dividing surface that reactive trajectories must cross. In order not to overestimate the reaction rate, the dynamics must be free of recrossings of the dividing surface. This no-recrossing rule is difficult (and sometimes impossible) to enforce, however, when a chemical reaction takes place in a fluctuating environment such as a liquid. High-accuracy approximations to the rate are well known when the solvent forces are treated using stochastic representations, though again, exact no-recrossing surfaces have not been available. To generalize the exact limit of TST to reactive systems driven by noise, we introduce a time-dependent dividing surface that is stochastically moving in phase space, such that it is crossed once and only once by each transition path.
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    http://hdl.handle.net/1853/46636
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