https://doi.org/10.1140/epjc/s10052-017-5125-x
Regular Article - Theoretical Physics
Thermal fluctuations in a hyperscaling-violation background
1
School of Physics, Damghan University, Damghan, 3671641167, Iran
2
Irving K. Barber School of Arts and Sciences, University of British Columbia-Okanagan, Kelowna, BC, V1V 1V7, Canada
3
Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada
4
Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India
5
Laboratoire de Physique Corpusculaire de Clermont-Ferrand, Université Blaise Pascal, 24 Avenue des Landais, 63177, Aubière Cedex, France
* e-mail: b.pourhassan@du.ac.ir
Received:
1
April
2017
Accepted:
31
July
2017
Published online:
18
August
2017
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.
© The Author(s), 2017