Abstract:
The partition functions of bosonic and fermionic field in Barriola_Vilenkin black hole are directly derived by using the method of quantum statistics. Then the entropy of the Barriola_Vilenkin black hole is calculated by using the improved brick_wall method in the frame of membrane model.

Abstract:
The quantum corrections to the entropy of the Barriola-Vilenkin black hole due to the gravitation electromagnetic and neutrino fields are calculated by using the brick-wall model. It is shown that the quantum corrects consist in two parts: One is aquadratic divergent term at event horizon and is proportional to the surface area of the event horizon. The other is two logarithmically divergent terms which not only depend on the characteristics of the black hole but also on the spin of fields. The whole expression does not take the form of the scalar field.

Abstract:
The quantum corrections to the entropy of the Barriola-Vilenkin black hole due to the massless gravitational field are calculated by using the brick-wall model.It is shown that the quantum corrections consist of two parts:One is a quadratic divergent term at the event horizon and is proportional to the surface area of the event horizon.The other is two logarithmically divergent terms which not only depend on the characteristics of the black hole but also on the spin of the field.The whole expression does not take the form of the scalar field.

Abstract:
The quantum tunneling framework is adopted to investigate tunneling radiation of Barriola-Vilenkin black hole with a global monopole. We obtain a conclusion that the emission rate of massive particles is related with the change of Bekenstein-Hawking entropy. The emission rates of massless and massive particles take the same functional form. It is consistent with the underlying unitary theory.

Abstract:
By the statistical entropy of the Dirac field of the static spherically symmetric black hole, the result is obtained that the radiation energy flux of the black hole is proportional to the quartic of the temperature of its event horizon. That is, the thermal radiation of the black hole always satisfies the generalised Stenfan--Boltzmann law. The derived generalised Stenfan--Boltzmann coefficient is no longer a constant. When the cut-off distance and the thin film thickness are both fixed, it is a proportional coefficient related to the space--time metric near the event horizon and the average radial effusion velocity of the radiation particles from the thin film. Finally, the radiation energy fluxes and the radiation powers of the Schwarzschild black hole and the Reissner--Nordstr m black hole are derived, separately.

Abstract:
This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.

Abstract:
Using the statistical entropy of the Dirac field of static spherically symmetric black hole, the Stefan-Boltzmann's law of static spherically symmetric black ho les is calculated, and we obtain a conclusion that the radiant emittance of a bl ack hole is proportionate to quartic power of temperature of the event horizon o f the black hole. It is found that the value of Stefan-Boltzmann constant in curved space-time is different from that in Euclidean space-time, and the constant has different value in different space-time.

Abstract:
We point out a formal analogy between the Dirac equation in Majorana form and the discrete-velocity version of the Boltzmann kinetic equation. By a systematic analysis based on the theory of operator splitting, this analogy is shown to turn into a concrete and efficient computational method, providing a unified treatment of relativistic and non-relativistic quantum mechanics. This might have potentially far-reaching implications for both classical and quantum computing, because it shows that, by splitting time along the three spatial directions, quantum information (Dirac-Majorana wavefunction) propagates in space-time as a classical statistical process (Boltzmann distribution).

Abstract:
The exact Maxwell-Boltzmann (MB), Bose-Einstein (BE) and Fermi-Dirac (FD) entropies and probabilistic distributions are derived by the combinatorial method of Boltzmann, without Stirling's approximation. The new entropy measures are explicit functions of the probability and degeneracy of each state, and the total number of entities, N. By analysis of the cost of a "binary decision", exact BE and FD statistics are shown to have profound consequences for the behaviour of quantum mechanical systems.