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摘要: 本文用Master方程导出的带有扩散涨落项的福克-普朗克方程讨论了三个化学模型在不同情况下的涨落问题,文章指出:平衡态附近的无空间关联的涨落,偏离平衡时涨落的关联性,Schlogl三分子模型县有非经典的临界指数,而Schligl双分子模型具有经典的临界指数等多样的情况是由系统的本身性质决定的,用本文的方法能统一地处理这些问题,并且因而澄清了文献[6]中提出的关于临界指数的疑点。
Abstract: In this paper, we use the Fokker-Planck equation, which is derived from the Master equation and has a diffusive fluctuation term, to discuss three chemical models' fluctuation under different situations. We point out: the fluctuation near equilibrium is local and Gaussian; as the system deviate from equilibrium, the fluctuations appear correlative at different points in space; Schlogl's trimolecular model has non classical exponents; but Schlogl's dimolecular model has classical exponents. The diversification of these fluctuations is determined by the property of the system itself. By the method used in this paper, we can treate these problems in a unified base, and, therefore, provide a solution to the question about critical exponents presented in the literature[6].