Thursday, May 23, 2013

1305.4988 (John C. Baez et al.)

Quantum Techniques for Studying Equilibrium in Chemical Reaction

John C. Baez, Brendan Fong
Anderson, Craciun, and Kurtz have proved that a stochastically modelled chemical reaction system with mass-action kinetics admits a stationary distribution when the deterministic model of the same system with mass-action kinetics admits an equilibrium solution obeying a certain "complex balance" condition. Here we present a proof of their theorem using tools from the theory of second quantization: Fock space, annihilation and creation operators, and coherent states. This is an example of "stochastic mechanics", where we take techniques from quantum mechanics and replace amplitudes by probabilities.
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