The chemical Langevin equation
The chemical Langevin equation
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DOI：
10.1063/1.481811
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发表时间：
2000-07-01
影响因子：
4.4
通讯作者：
Gillespie, DT
中科院分区：
文献类型：
--
作者：
Gillespie, DT
通过M个反应通道进行化学相互作用的N种分子混合物的随机动力学行为由化学主方程精确描述。它在这里示出，只要两个明确的动力学条件得到满足，微物理的前提下，化学主方程推导直接导致一个近似的时间演化方程的朗之万型。这个化学朗之万方程与库尔茨早先研究的方程相同，与其他一些早先提出的假设确定性宏观演化定律的形式不同。本分析的新颖之处在于，它表明方程的精度取决于某些特定条件的满足，这些条件可以随时变化，而不是静态系统尺寸参数。推导提供了一个新的角度在化学反应系统中的噪声的来源和大小。它还澄清了随机正确的化学主方程和确定性的，但往往令人满意的反应速率方程之间的联系。[S0021-9606（00）50925-8]。
The stochastic dynamical behavior of a well-stirred mixture of N molecular species that chemically interact through M reaction channels is accurately described by the chemical master equation. It is shown here that, whenever two explicit dynamical conditions are satisfied, the microphysical premise from which the chemical master equation is derived leads directly to an approximate time-evolution equation of the Langevin type. This chemical Langevin equation is the same as one studied earlier by Kurtz, in contradistinction to some other earlier proposed forms that assume a deterministic macroscopic evolution law. The novel aspect of the present analysis is that it shows that the accuracy of the equation depends on the satisfaction of certain specific conditions that can change from moment to moment, rather than on a static system size parameter. The derivation affords a new perspective on the origin and magnitude of noise in a chemically reacting system. It also clarifies the connection between the stochastically correct chemical master equation, and the deterministic but often satisfactory reaction rate equation. [S0021-9606(00)50925-8].