Ourabah Kamel, Tribeche Mouloud
Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, Boîte Postale 32, El Alia, Algiers 16111, Algeria.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062130. doi: 10.1103/PhysRevE.89.062130. Epub 2014 Jun 24.
Blackbody radiation is reconsidered using the counterpart of the Bose-Einstein distribution in the κ statistics arising from the Kaniadakis entropy. The generalized Planck radiation law is presented and compared to the usual law, to which it reduces in the limiting case κ→0. Effective Einstein's coefficients of emission and absorption are defined in terms of the Kaniadakis parameter κ. It is shown that the Kaniadakis statistics keeps unchanged the first Einstein coefficient A while the second coefficient B admits a generalized form within the present theoretical framework.
利用源于卡尼亚达基斯熵的κ统计中玻色-爱因斯坦分布的对应物重新考虑黑体辐射。给出了广义普朗克辐射定律,并将其与通常的定律进行比较,在极限情况κ→0时它会还原为通常的定律。根据卡尼亚达基斯参数κ定义了有效的爱因斯坦发射系数和吸收系数。结果表明,在当前理论框架内,卡尼亚达基斯统计使第一个爱因斯坦系数A保持不变,而第二个系数B具有广义形式。