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- W2014046265 abstract "We apply the Hamilton-Jacobi equation (HJE) formalism to solve the dynamics of the chemical master equation (CME). We found exact analytical expressions (in large system-size limit) for the probability distribution, including explicit expression for the dynamics of variance of distribution. We also give the solution for some simple cases of the model with time-dependent rates. We derived the results of the Van Kampen method from the HJE approach using a special ansatz. Using the Van Kampen method, we give a system of ordinary differential equations (ODEs) to define the variance in a two-dimensional case. We performed numerics for the CME with stationary noise. We give analytical criteria for the disappearance of bistability in the case of stationary noise in one-dimensional CMEs." @default.
- W2014046265 created "2016-06-24" @default.
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- W2014046265 date "2011-08-12" @default.
- W2014046265 modified "2023-09-23" @default.
- W2014046265 title "Exact results in the large system size limit for the dynamics of the chemical master equation, a one dimensional chain of equations" @default.
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- W2014046265 doi "https://doi.org/10.1103/physreve.84.021122" @default.
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