2015•arXiv (Cornell University)Open access

Generalized Second Law of Thermodynamics for Non-canonical Scalar Field\n Model with Corrected-Entropy

Sudipta Das, Ujjal Debnath, Abdulla Al Mamon

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Abstract

In this work, we have considered a non-canonical scalar field dark energy\nmodel in the framework of flat FRW background. It has also been assumed that\nthe dark matter sector interacts with the non-canonical dark energy sector\nthrough some interaction term. Using the solutions for this interacting\nnon-canonical scalar field dark energy model, we have investigated the validity\nof generalized second law (GSL) of thermodynamics in various scenarios using\nfirst law and area law of thermodynamics. For this purpose, we have assumed two\ntypes of horizons viz apparent horizon and event horizon for the universe and\nusing first law of thermodynamics, we have examined the validity of GSL on both\napparent and event horizons. Next, we have considered two types of\nentropy-corrections on apparent and event horizons. Using the modified area\nlaw, we have examined the validity of GSL of thermodynamics on apparent and\nevent horizons under some restrictions of model parameters.\n

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In this work, we have considered a non-canonical scalar field dark energy\nmodel in the framework of flat FRW background. It has also been assumed that\nthe dark matter sector interacts with the non-canonical dark energy sector\nthrough some interaction term. Using the solutions for this interacting\nnon-canonical scalar field dark energy model, we have investigated the validity\nof generalized second law (GSL) of thermodynamics in various scenarios using\nfirst law and area law of thermodynamics. For this purpose, we have assumed two\ntypes of horizons viz apparent horizon and event horizon for the universe and\nusing first law of thermodynamics, we have examined the validity of GSL on both\napparent and event horizons. Next, we have considered two types of\nentropy-corrections on apparent and event horizons. Using the modified area\nlaw, we have examined the validity of GSL of thermodynamics on apparent and\nevent horizons under some restrictions of model parameters.\n

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Available abstract

In this work, we have considered a non-canonical scalar field dark energy\nmodel in the framework of flat FRW background. It has also been assumed that\nthe dark matter sector interacts with the non-canonical dark energy sector\nthrough some interaction term. Using the solutions for this interacting\nnon-canonical scalar field dark energy model, we have investigated the validity\nof generalized second law (GSL) of thermodynamics in various scenarios using\nfirst law and area law of thermodynamics. For this purpose, we have assumed two\ntypes of horizons viz apparent horizon and event horizon for the universe and\nusing first law of thermodynamics, we have examined the validity of GSL on both\napparent and event horizons. Next, we have considered two types of\nentropy-corrections on apparent and event horizons. Using the modified area\nlaw, we have examined the validity of GSL of thermodynamics on apparent and\nevent horizons under some restrictions of model parameters.\n

Key concepts: Event horizon, Second law of thermodynamics, First law of thermodynamics, Apparent horizon, Dark energy, Entropy (arrow of time), Laws of thermodynamics, Scalar field

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