CORRELATIONS IN STOCHASTIC THEORIES OF CHEMICAL-REACTIONS
CORRELATIONS IN STOCHASTIC THEORIES OF CHEMICAL-REACTIONS
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DOI：
10.1007/bf01030197
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发表时间：
1976-01-01
影响因子：
1.6
通讯作者：
MATHESON, IS
中科院分区：
文献类型：
--
作者：
GARDINER, CW;MCNEIL, KJ;MATHESON, IS
利用耦合的化学和扩散主方程，对线性和非线性化学反应中的相关性进行了全面的研究。由于包括线性反应的相关性，从初始非泊松分布到稳态泊松分布的方法由幂律给出，而不是通过忽略相关性预测的指数。在非线性反应中，我们表明，稳态泊松分布是在小体积，而在大体积的非泊松分布是建立通过相关性。计算的空间相关函数的两个例子中，一个表现出不稳定性，其他表现出二阶相变，和相关长度和相关时间的计算和显示，成为无限的临界点接近。临界指数是经典的。
A comprehensive study of correlations in linear and nonlinear chemical reactions is presented using coupled chemical and diffusion master equations. As a consequence of including correlations in linear reactions the approach to the steady-state Poisson distribution from an initial non-Poissonian distribution is given by a power law rather than the exponential predicted by neglecting correlations. In nonlinear reactions we show that a steadystate Poisson distribution is achieved in small volumes, whereas in large volumes a non-Poissonian distribution is built up via the correlation. The spatial correlation function is calculated for two examples, one which exhibits an instability, the other which exhibits a second-order phase transition, and correlation length and correlation time are calculated and shown to become infinite as the critical point is approached. The critical exponents are found to be classical.