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摘要: 本文试图建立化学反应体系涨落的统计理论。我们从刘维方程出发,利用含时间的投影算子技术,得到密度涨落的分布函数及特征函数所满足的方程。基本结果与我们唯象理论的广义Master方程一致。最后讨论了统计理论对唯象理论的修正项及其对涨落波谱的影响。
Abstract: In this article, a quantum statistical theory of fluctuation in chemical reaction systems has been developed. Starting from the Liouville equation, the equation for characteristic function and distribution function of density fluctuation has been obtained by projection operator method. The results confirm our previous phenomeno-logical theory. Finally, the correction terms of statistical theory and its influences on spectrum of fluctuation waves has been discussed.