In present paper we discuss the effect of higher order corrections of entropy on the thermodynamic fluctuation of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger black hole (GMGHS), i.,e. charged diatonic black hole. By investigating the thermodynamic property functions, such as the internal energy, the enthalpy, the Helmholtz free energy, the Gibbs free energy and the heat capacity, we find that the correction from the thermodynamic fluctuation is very important for small black hole case and one can neglect the correction for large black hole case. We also find that when there is no thermal fluctuation, this black hole thermodynamic system acts as an ideal gas state. However when we consider the thermal fluctuation, we can see the Van der waals type behavior in GMGHS black hole system. Finally, we discuss the stability of GMGHS black hole by investigating the behaviour of heat capacity under effect of thermal fluctuation, we find that, without any thermal fluctuation, we get the completely unstable black hole. However, with the presence of thermal fluctuation, the black hole becomes stable at smaller value of horizon radius, also there is a stable to unstable phase transition from the corrected specific heat.

中文翻译：

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热涨落对GMGHS黑洞热力学的影响

在本文中，我们讨论了熵的高阶校正对 Gibbons-Maeda-Garfinkle-Horowitz-Strominger 黑洞 (GMGHS) 热力学波动的影响，即。带电全音阶黑洞。通过研究热力学性质函数，如内能、焓、亥姆霍兹自由能、吉布斯自由能和热容，我们发现热力学涨落的修正对于小黑洞情况非常重要，可以忽略大黑洞情况下的校正。我们还发现，当没有热波动时，这个黑洞热力学系统表现为理想的气体状态。然而，当我们考虑热波动时，我们可以看到 GMGHS 黑洞系统中的范德华式行为。最后，我们通过研究热波动作用下的热容行为来讨论 GMGHS 黑洞的稳定性，我们发现，没有任何热波动，我们得到了完全不稳定的黑洞。然而，随着热波动的存在，黑洞在较小的视界半径值处变得稳定，并且从校正的比热到不稳定的相变。