OICC Press Journal of Theoretical and Applied Physics 2251-7235 6 1 2023 11 17 The generalized second law of thermodynamics in f(R) gravity for various choices of scale factor 10.1186/2251-7235-6-27 EN Rahul Ghosh Department of Mathematics, Bhairab Ganguly College Surajit Chattopadhyay Department of Computer Application (Mathematics Section), Pailan College of Management and Technology, West Bengal University of Technology 0000-0003-0666-1347 Journal Article 2023 11 17 AbstractThe present study is aimed at investigating the validity of the generalized second law (GSL) of thermodynamics in f(R) gravity. Choosing f(R)=R+ξRμ+ζR−ν with ξ,μ,ζ, ν > 0 (following the study of Nojiri and Odintsov in 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. This indicates the validity of GSL of thermodynamics in the f(R) gravity irrespective of the choices of scale factor and enveloping horizon.