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Recently, a new assumption was proposed in [Phys. Rev. D 100, no.10, 104022(2019)]. This assumption considers that the energy of the particle changes theenthalpy of the black hole after throwing the particle into the black hole.Using the energy-momentum relation, the results show that the second law ofthermodynamics of the black hole is valid in extended phase space. In thispaper, we discuss the validity of the laws of thermodynamics and the stabilityof the horizon of the charged AdS black hole by scalar field scattering undertwo assumptions, i.e., the energy flux of the scalar field $dE$ changes theinternal energy of the black hole $dU$ and the energy flux of the scalar field$dE$ changes the enthalpy of the black hole $dM$.

Thermodynamics with pressure and volume of black holes based on two assumptions under scalar field scattering