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Quantum Techniques for Studying Equilibrium in Chemical Reaction Networks | | John C. Baez
; Brendan Fong
; | | Date: |
22 May 2013 | | Abstract: | 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. | | Source: | arXiv, 1305.4988 | | Services: | Forum | Review | PDF | Favorites | |
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