First law of thermodynamics on holographic screens in entropic force frame
First law of thermodynamics on holographic screens in entropic force frame
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熵力框架下全息屏幕上的热力学第一定律
DOI：
10.1016/j.physletb.2011.05.033
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发表时间：
2011-06-20
影响因子：
4.4
通讯作者：
Li, Jian-Long
中科院分区：
文献类型：
--
作者：
Chen, Yi-Xin;Li, Jian-Long
本着 Verlinde 熵力提议（E.R Verlinde，arXiv：1001.0785）的精神，对全息屏幕施加数学定义，我们给出了包围球形对称黑洞的全息屏幕上热力学第一定律的微分和积分形式。它符合均分原理和科马尔质量的形式。第一定律还有其他版本，相当于勒让德变换。全息屏热力学以准局部形式定义，这是与黑洞热力学的主要区别。因此，全息屏幕热力学的物理解释可能与黑洞热力学不同。我们认为全息屏幕的熵决定了它的面积，即S = A/4。该度量可以用热力学变量来表达，这说明了空间是如何由热力学势形成的。 (C) 2011 Elsevier B.V. 保留所有权利。
Imposing a mathematical definition of holographic screen, in the spirit of Verlinde's entropic force proposal (E.R Verlinde, arXiv:1001.0785), we give the differential and integral form of the first law of thermodynamics on the holographic screen enclosing a spherical symmetric black hole. It is consistent with equipartition principle and the form of Komar mass. There are also other version of first law, which are equivalent up to a Legendre transformation. The holographic screen thermodynamics is defined in a quasi-local form, which is the main difference to black hole thermodynamics. Thus, the physical interpretation of holographic screen thermodynamics might be different from black hole thermodynamics. We argue that the entropy of the holographic screen determines its area, i.e. S = A/4. And the metric can be expressed by thermodynamics variables, which is an illustration of how the space is foliated by the thermodynamical potentials. (C) 2011 Elsevier B.V. All rights reserved.