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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.

The revelation of black holes thermodynamics motivated the physicist to examine the thermodynamics of cosmological models in accelerated expanding universe [

In addition, the holographic dark energy (HDE) is an interesting effort in exploring the nature of dark energy in the framework of quantum gravity. This model is motivated from the fundamental holographic principle that arises from black hole thermodynamics and string theory [

Further, Wang et al. [

Moreover, modified matter part of Einstein Hilbert action results in dynamical models such as cosmological constants, quintessence,

Recently, Saridakis [

In the present work, we examine the validity of GSLT by assuming various forms of entropy on apparent and event horizons. We have also examined whether each entropy attain maximum (thermodynamic equilibrium) by satisfying the condition

According to GSLT, the entropy of horizon and entropy of matter resources inside horizon does not decrease with respect to time. Following (

The Bekenstein entropy is given by

Now, we assume the power law form of scale factor; that is,

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To examine the thermodynamic equilibrium, we differentiate (

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Logarithmic corrections arises from loop quantum gravity due to thermal equilibrium and quantum fluctuations [

In the presence of logarithmic entropy,

By substituting value of scale factor, the above equation reduces to

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A novel type of Renyi entropy was recommended by Biro and Czinner [

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The power law corrections to entropy appear in dealing with entanglement of quantum fields in and out of the horizon [

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In this section, we study GSL of thermodynamics at event horizon which is defined as

Under this scenario, (

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For this entropy at event horizon, (

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The following form is obtained from (

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Here

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Under conditions of present section, (

The plot of this expression is displayed in Figure

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The concept of thermodynamics in cosmological system originates through black hole physics. It was suggested [

Motivated by the above-mentioned works, we have considered a newly proposed DE model named Ricci-Gauss-Bonnet DE in flat FRW universe. We have developed thermodynamical quantities and analyzed the validity of GSLT and thermodynamic equilibrium. For dense elaboration of thermodynamics of present DE model, we have assumed various entropy corrections such as Bekenstein entropy, logarithmic corrected entropy, Renyi entropy, and power law entropy at apparent horizon as well as event horizon of the universe. We have found that GSLT holds for all cases of entropies as well as horizons. Also, thermal equilibrium condition was satisfied under certain conditions on constant parameters. The detailed results are as follows.

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The authors declare that there are no conflicts of interest regarding the publication of this paper.