Search

The microcanonical statistics of the Kerr black holes is analyzed. We have set u p an inequality in the microcanonical density for both continuous spectrum and d iscrete spectrum, and have verified that Kerr black holes obey the statistical b ootstrap condition. It is then used to show that the most probable configuration in the gases of Kerr black holes is that one black hole acquires all of the mas s and all of the rotation at the high-energy limit, so rotation does not break t he bootstrap property.

Based on the single-spin transition critical dynamics, we investigate the critical slowing down of the Gaussian spin model on dilational symmetric Sierpinski gaskets. We calculate the dynamical critical exponent z using the dynamical decimation renormalization-group technique in the assumption of the magnetic-lile perturbation, and found that the dynamical critical exponent z of the system is only related to the static length-correlation exponent ν, but is foreign to the fractal dimenionality Df. The result of the universal conclusion z=1/ν has been verified again in this paper.

After considering thermal character of the inner horizon of Kerr black hole, we give a new form of the Bekenstein-Smarr formula and re-define black hole entropy. The balck hole entropy re-defined must go to zero as the temperature of black the approaches absolute zero. The entropy satisfies the Nernst theorem, so it can be regarded as the Planck absolute entropy of black hole.

By using of the brick-wall method,we calculate the free energy and the entropy of Dirac spinor field in Schwarzschild black hole-It shows that the entropy of Dirac field is proportional to the area of black hole horizon and the entropy of Dirac field is 7/2 times that of Klein-Gordon field

The dynamical properties of Dirac spinor particles in a non-static Rindler space-time is studied. The explicit representative of the four-component wave function of Dirac particles is obtained. A non-uniformly rectilinearly accelerating Rindler observer is accompanied by an event horizon depending on time. He explores some thermal radiation varying with time, whose temperature is proportional to the simultaneous acceleration. The existence of the non-static Rindler effect is confirmed.