Some thermodynamic properties of the Bañados-Teitelboim-Zanelli (BTZ) black hole are studied to get the effective dimension of its corresponding statistical model. For this purpose, we make use of the geometrical approach to the thermodynamics: Considering the black hole as a thermodynamic system with two thermodynamic variables (the mass M and the angular momemtum J), we obtain two-dimensional...

It is often incorrectly assumed that the number of microstates Ω(E, V, N, ...) available to an isolated system can have arbitrary dependence on the extensive variables E, V, N, ... However, this is not the case for systems which can, in principle, reach thermodynamic equilibrium since restrictions arise from the underlying equilibrium statistical mechanic axioms of independence and a priori equ...

The exact Hill's treatment of the Ising model describing DNA has been developed to make it applicable to the study of environment-coupled instabilities in DNA. Thermodynamic properties of DNA close to a co-operative order-disorder melting point have been investigated in terms of the developed Ising model. Assuming a weak coupling between the environment and Watson-Crick hydrogen bonds in DNA, i...