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Remarks on the chemical Fokker-Planck and Langevin equations: Nonphysical currents at equilibrium.
Journal of Chemical Physics 2018 Februrary 15
The chemical Langevin equation and the associated chemical Fokker-Planck equation are well-known continuous approximations of the discrete stochastic evolution of reaction networks. In this work, we show that these approximations suffer from a physical inconsistency, namely, the presence of nonphysical probability currents at the thermal equilibrium even for closed and fully detailed-balanced kinetic schemes. An illustration is given for a model case.
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