Four classical laws of black hole thermodynamics are extended from exterior (event) horizon to interior (Cauchy) horizon. Especially, the first law of classical thermodynamics for Kerr-Newman black hole (KNBH) is generalized to those in quantum form. Then five quantum conservation laws on the KNBH evaporation effect are derived in virtue of thermodynamical equilibrium conditions. As a by-produc...

In Parikh and Wilczek’s original works, the laws of black hole thermodynamics are not referred and it seems that there is no relation between Hawking radiation via tunnelling and the laws of black hole thermodynamics in their works. However, taking examples for the R-N black hole and the Kerr black hole, we find that they are correlated and even consistent if the tunnelling process is a reversi...

There exists a set of striking similarities between the laws governing the equilibrium mechanics of stationary black holes and the classical laws of thermodynamics. While the full development of this relationship requires the use of quantum field theory, the connection between thermodynamics and black hole mechanics is evident even in the framework of classical general relativity. This paper pr...

Motivated by recent results on non-vanishing spatial curvature [1] we employ the holographic model of dark energy to investigate the validity of first and second laws of thermodynamics in non-flat (closed) universe enclosed by apparent horizon RA and the event horizon measured from the sphere of horizon named L. We show that for the apparent horizon the first law is roughly respected for differ...

Course Description Covers classical thermodynamics and statistical mechanics. Fundamental laws of thermodynamics, thermodynamics potentials and Legendre transforms, equations of state, chemical equilibrium, statistical mechanics, relationship between entropy and probabilities, classical gasses, liquids, and solids, pair correlation functions, Ising model, renormalization group theory, Brownian ...

The laws of thermodynamics were formulated long before we knew the existence of atoms and molecules. The formal thermodynamics curriculum based on the empirical laws have been replaced by courses based on physical and statistical foundation of the subject in the intermediate courses in undergraduate curriculum for some time now. In these courses they show how the properties of macroscopic syste...