论文标题
非扩展性对游戏理论的含义
Implications of non-extensivity on Gamow theory
论文作者
论文摘要
Gamow依靠量子隧道概念和Maxwell-Boltzmann-Gibbs的统计数据表明，在与临界价值相当的温度下，恒星燃烧过程发生，称为Gamow温度（$ \ texttt {t} $），而小于经典框架的预测。为了强调焦点定理在Gamow参数中的作用，定义了热长度量表，并研究了非扩展性对Gamow温度的影响，重点是Tsallis和Kaniadakis统计。结果证明，虽然游戏温度在Kaniadakis统计框架的框架中降低，但使用Tsallis统计数据时，它可能大于或小于$ \ texttt {t} $。
Relying on the quantum tunneling concept and the Maxwell-Boltzmann-Gibbs statistics, Gamow shows that the star burning process happens at temperatures comparable to a critical value, called the Gamow temperature ($\texttt{T}$) and less than the prediction of the classical framework. In order to highlight the role of the equipartition theorem in the Gamow argument, a thermal length scale is defined and thereinafter, the effects of non-extensivity on the Gamow temperature have been investigated focusing on the Tsallis and Kaniadakis statistics. The results attest that while the Gamow temperature decreases in the framework of the Kaniadakis statistics, it can be bigger or smaller than $\texttt{T}$ when the Tsallis statistics is employed.
