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The activated rate process for non-equilibrium open systems is studied takinginto account both internal and external noise fluctuations in a unified way.The probability of a particle diffusing passing over the saddle point and therate constant together with the effective transmission coefficient arecalculated via the method of reactive flux. We find that the complexity ofinternal noise is always harmful to the diffusion of particles. However theexternal modulation may be beneficial to the rate process.

Internal and External Fluctuation Activated Non-equilibrium Reactive Rate Process