Master equations, Langevin equations, and the effect of diffusion on concentration fluctuations
- 15 August 1977
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 67 (4) , 1473-1476
- https://doi.org/10.1063/1.435021
Abstract
An anomalous prediction of the master equation formalism is not obtained when concentration fluctuations in chemical reactions are described by the fluctuation‐dissipation theory. The known connection between these two theories shows that the discrepancy may be eliminated by taking the properly scaled thermodynamic limit of the master equation prior to achieving steady state. The effect of diffusion on fluctuations is also considered, and exact results are obtained for several reaction mechanisms. At steady states away from equilibrium nonlocal correlations of the Ornstein–Zernike form are found. This agrees with the continuum limit of the master equation formalism used by Gardiner et al.Keywords
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