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.
File in questo prodotto:
File Dimensione Formato  
1.5016158.pdf

accesso aperto

Tipologia: Published (publisher's version)
Licenza: Accesso libero
Dimensione 1.43 MB
Formato Adobe PDF
1.43 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3278861
Citazioni
  • ???jsp.display-item.citation.pmc??? 2
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 14
social impact