The chemical Langevin equation and the associated chemical Fokker-Planck equation are wellknown 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 detailedbalanced kinetic schemes. An illustration is given for a model case.
Remarks on the chemical Fokker-Planck and Langevin equations: Nonphysical currents at equilibrium
Ceccato, Alessandro;Frezzato, Diego
2018
Abstract
The chemical Langevin equation and the associated chemical Fokker-Planck equation are wellknown 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 detailedbalanced kinetic schemes. An illustration is given for a model case.
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