Research Article Thermodynamics of Ricci-Gauss-Bonnet Dark Energy Ayesha Iqbal 1 and Abdul Jawad 2 1 Department of Mathematics, Government College University, Faisalabad, Pakistan 2 Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, Pakistan Correspondence should be addressed to Abdul Jawad; jawadab181@yahoo.com Received 24 November 2017; Revised 10 January 2018; Accepted 21 January 2018; Published 4 March 2018 Academic Editor: Chao-Qiang Geng Copyright © 2018 Ayesha Iqbal and Abdul Jawad. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e publication of this article was funded by SCOAP 3 . We investigate the validity of generalized second law of thermodynamics of a physical system comprising newly proposed dark energy model called Ricci-Gauss-Bonnet and cold dark matter enveloped by apparent horizon and event horizon in flat Friedmann- Robertson-Walker (FRW) universe. For this purpose, Bekenstein entropy, Renyi entropy, logarithmic entropy, and power law entropic corrections are used. It is found that this law exhibits the validity on both apparent and event horizons except for the case of logarithmic entropic correction at apparent horizon. Also, we check the thermodynamical equilibrium condition for all cases of entropy and found its vitality in all cases of entropy. 1. Introduction e revelation of black holes thermodynamics motivated the physicist to examine the thermodynamics of cosmological models in accelerated expanding universe [1–3]. Bekenstein and Hawking determined that the entropy of black hole is proportional to its event horizon [4, 5] which leads to impor- tant law named generalized second law of thermodynamics (GSLT) for black hole physics. is law can be defined as the entropy of black hole and its exterior is always increasing. e primitive level of thermodynamics properties of horizons is exhibited by considering Einstein field equations as an alternate of first law of thermodynamics [6, 7]. Gibbons and Hawking developed the Beckenstein’s idea for cosmological system by exhibiting that the entropy of cosmological event horizon is proportional to horizon area [8]. ey represented the equality of apparent horizon and event horizon for de Sitter universe. e validity of GSLT was deeply studied later [9–11]. GSLT in cosmological scenario implies that the rate of change of entropy of horizon along with that of fluid inside it will always be greater than or equal to zero. Its mathematical expression is  horizon  +  inside  ≥ 0. (1) In addition, the holographic dark energy (HDE) is an interesting effort in exploring the nature of dark energy in the framework of quantum gravity. is model is motivated from the fundamental holographic principle that arises from black hole thermodynamics and string theory [12–15]. HDE fascinated a large amount of research despite some objections [16, 17]. e choice of the length scale  appearing in the holographic dark energy density   = 3   −2 gives rise to different dark energy models. One of the crucial models is holographic Ricci dark energy model which is developed by assuming IR length scale as the average radius of Ricci scalar curvature,  −1/2 [18–20]. Moreover, its modified form is also presented and discussed widely [21–23]. Further, Wang et al. [24] observed that GSLT is verified at apparent horizon but not at event horizon for a specific model of dark energy. In case of new holographic dark energy, GSLT is valid fully on apparent horizon but partially on event horizon of universe [25]. e breakdown of GSLT was argued in case of event horizon enveloping the universe as compared to apparent horizon [26]. Setare [27] has derived the constraints on deceleration parameter in order to fulfill GSLT in case of nonflat universe enveloped by event horizon. e GSLT of thermodynamics has also been analyzed in case of Braneworld [28, 29] and generally Levelock gravity [30]. Hindawi Advances in High Energy Physics Volume 2018, Article ID 6139430, 12 pages https://doi.org/10.1155/2018/6139430