The poisson representation. I. A new technique for chemical master equations
The poisson representation. I. A new technique for chemical master equations
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泊松表示。
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
S. Chaturvedi
中科院分区：
文献类型：
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作者：
C. Gardiner;S. Chaturvedi
本文介绍了一种处理化学主方程的新方法，该方法基于泊松分布中概率分布的扩展。这使得化学主方程可以转换为福克-普朗克和随机微分方程，并产生非常简单的化学平衡状态描述。对某些非平衡系统进行了研究，并与以往的结果进行了比较。研究了高斯近似，发现除了在临界点附近外，几乎总是有效的。所导出的随机微分方程具有一些新颖的特征，如纯虚噪声项的可能性和高阶噪声的可能性，这似乎是物理学家以前没有研究过的。这些特征是允许的，因为概率分布的变换是准概率，可能是负的甚至是复的。
We introduce a new technique for handling chemical master equations, based on an expansion of the probability distribution in Poisson distributions. This enables chemical master equations to be transformed into Fokker-Planck and stochastic differential equations and yields very simple descriptions of chemical equilibrium states. Certain nonequilibrium systems are investigated and the results are compared with those obtained previously. The Gaussian approximation is investigated and is found to be valid almost always, except near critical points. The stochastic differential equations derived have a few novel features, such as the possibility of pure imaginary noise terms and the possibility of higher order noise, which do not seem to have been previously studied by physicists. These features are allowable because the transform of the probability distribution is a quasiprobability, which may be negative or even complex.