Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in Anti-de Sitter Black Holes via Charged Particle Absorption

In this paper, we investigate the minimal length effects on the thermodynamics and weak cosmic censorship conjecture in a RNAdS black hole via charged particle absorption. We first use the generalized uncertainty principle (GUP) to investigate the
minimal length effect on the Hamilton-Jacobi equation. After the deformed Hamilton-Jacobi equation is derived, we use it to
study the variations of the thermodynamic quantities of a RN-Ads black hole via absorbing a charged particle. Furthermore, we
check the second law of thermodynamics and the weak cosmic censorship conjecture in two phase spaces. In the normal phase
space, the second law of thermodynamics and the weak cosmic censorship conjecture are satisfied in the usual and GUPdeformed cases, and the minimal length effect makes the increase of entropy faster than the usual case. After the charge particle
absorption, the extremal RN-AdS black hole becomes nonextremal. In the extended phase space, the black hole entropy can
either increase or decrease. When T > 2Pr+, the second law is satisfied. When T < 2Pr+, the second law of thermodynamics is
violated for the extremal or near-extremal black hole. Finally, we find that the weak cosmic censorship conjecture is legal for
extremal and near-extremal RN-Ads black holes in the GUP-deformed case.