通过包含Maxwell-Boltzmann和Tsallis分布的通道模型扩展热核函数
Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions
摘要：
麦克斯韦-玻尔兹曼方法的核反应速率理论扩展到涵盖Tsallis统计（Tsallis，1988）和更一般的情况下的分布函数。正在借助统计技术对各个热核功能进行分析研究。Mathai（2005）最近引入的途径模型被用于热核函数，并得到了H函数和G函数的封闭形式表示。麦克斯韦-玻尔兹曼热核函数成为推广热核函数的特例。本文简要回顾了核反应速率解析表示理论的发展。
英文摘要：
The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analytical study of respective thermonuclear functions is being conducted with the help of statistical techniques. The pathway model, recently introduced by Mathai (2005), is utilized for thermonuclear functions and closed-form representations are obtained in terms of H-functions and G-functions. Maxwell-Boltzmannian thermonuclear functions become particular cases of the extended thermonuclear functions. A brief review on the development of the theory of analytic representations of nuclear reaction rates is given.
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