以Reissnet-Nordstrom黑洞(R-N黑洞)为例,从黑洞热力学定律出发,对R-N黑洞中的带电粒子的量子隧穿效应进行了重新分析.将作用量的虚部重写成黑洞热力学定律的形式后,发现在Parikh工作框架下的量子隧穿效应与黑洞热力学的第一、第二定律有潜在的联系;而且,如果认为量子隧穿过程为可逆过程,则量子隧穿效应中的结果与黑洞热力学第一、第二定律是一致的.换而言之,Parikh的结论只对可逆过程成立.
Taking for an example the Reissner-Norstrnm black hole, we reinvestigate its Hawking radiation of charged particles via tunneling, which is viewed from the laws of black hole thermodynamics. After rewriting the imaginary part of the action into the related functions of laws of black hole thermodynamics, we find that there is an underlying relation between the first and second law of black hole thermodynamics and Hawking radiation via tunneling based on Parikh and Wilczek' s original works. Moreover, if we consider the tunneling process as a reversible process, the result in Hawking radiation via tunneling is consistent with the first and second law of black hole thermodynamics. In other words, Parikh' s conclusion is only valid for the reversible process.