不同标度因子下f（R）引力的广义热力学第二定律
The generalized second law of thermodynamics in f(R) gravity for various choices of scale factor
摘要：
本文研究了广义热力学第二定律在$f(\cal R)$引力场中的有效性。选择$f(\cal R)=R+ξR^μ+ζR^{-ν}$ [遵循《物理学评论D》，68，123512（2003）]，我们计算了与宇宙的涌现、中间和对数中间情景有关的各种尺度因子选择的总熵的时间导数。在计算各种情况下熵的时间导数时，我们考虑了哈勃半径、视半径、粒子半径和事件视界半径。通过对总熵对宇宙时间的时间导数的作图分析，发现无论标度因子和包络视界的选择如何，总熵对宇宙时间的导数始终保持在正的水平，这表明在$f(\cal R)$引力中热力学GSL的有效性。
英文摘要：
The present study is aimed at investigating the validity of the generalized second law (GSL) of thermodynamics in $f(\cal R)$ gravity. Choosing $f(\cal R)=R+ξR^μ+ζR^{-ν}$ [following Phys Rev D, 68, 123512 (2003)] we have computed the time derivatives of total entropy for various choices of scale factor pertaining to emergent, intermediate and logamediate scenarios of the universe. We have taken into account the radii of hubble, apparent, particle and event horizons while computing the time derivatives of entropy under various situations being considered. After analyzing through the plots of time derivative of total entropy against cosmic time it is observed that the derivative always stays at positive level that indicate the validity of GSL of thermodynamics in the $f(\cal R)$ gravity irrespective of the choices of scale factor and enveloping horizon.
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