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Thermal fluctuations in a hyperscaling-violation background

Behnam PourhassanSchool of Physics, Damghan University, Damghan, 3671641167, IranMir FaizalDepartment of Physics and Astronomy, University of Lethbridge, Lethbridge, AB, T1K 3M4, CanadaSudhaker UpadhyayCentre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur, 721302, IndiaLina Al AsfarLaboratoire de Physique Corpusculaire de Clermont-Ferrand, Université Blaise Pascal, 24 Avenue des Landais, 63177, Aubière Cedex, France
2017en
ABI

Abstract

In this paper, we study the effect of thermal fluctuations on the thermodynamics of a black geometry with hyperscaling violation. These thermal fluctuations in the thermodynamics of this system are produced from quantum corrections of geometry describing this system. We discuss the stability of this system using specific heat and the entire Hessian matrix of the free energy. We will analyze the effects of thermal fluctuations on the stability of this system. We also analyze the effects of thermal fluctuations on the criticality of the hyperscaling-violation background.

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