Abstract

By considering a small correction to the Maxwell field, we show that the resultant black hole solutions (also known as the asymptotically Reissner-Nordstrom black holes) undergo the reentrant phase transition and can have a novel phase behavior. We also show that such a small nonlinear correction of the Reissner-Nordstrom black holes has high effects on the phase structure of the solutions. It leads to a new classification in the canonical ensemble of extended phase space providing the values of the nonlinearity parameter abeing alpha = 4q(2)/7. We shall study these three classes and investigate deviations from those of the standard Reissner-Nordstrom solutions. Interestingly, we find that there is the reentrant phase transition for alpha 4q(2)/7, and for the case of alpha = 4q(2)/7there is no phase transition below (at) the critical point. For the last case, one finds that small and large black holes are thermodynamically distinguishable for temperatures and pressures higher than the critical ones. (c) 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP(3).