8,590 research outputs found
Revisit emission spectrum and entropy quantum of the Reissner-Nordstr\"{o}m black hole
Banerjee and Majhi's recent work shows that black hole's emission spectrum
could be fully reproduced in the tunneling picture, where, as an intriguing
technique, the Kruskal extension was introduced to connect the left and right
modes inside and outside the horizon. Some attempt, as an extension, was
focused on producing the Hawking emission spectrum of the (charged)
Reissner-Nordstr\"{o}m black hole in the Banerjee-Majhi's treatment.
Unfortunately, the Kruskal extension in their observation was so badly defined
that the ingoing mode was classically forbidden traveling towards the center of
black hole, but could quantum tunnel across the horizon with the probability
. This tunneling picture is unphysical. With
this point as a central motivation, in this paper we first introduce such a
suitable Kruskal extension for the (charged) Reissner-Nordstr\"{o}m black hole
that a perfect tunneling picture can be provided during the charged particle's
emission. Then, under the new Kruskal extension, we revisit the Hawking
emission spectrum and entropy spectroscopy as tunneling from the charged black
hole. The result shows that the tunneling method is so universally robust that
the Hawking blackbody emission spectrum from a charged black hole can be well
reproduced in the tunneling mechanism, and its induced entropy quantum is a
much better approximation for the forthcoming quantum gravity theory.Comment: 7 page
On black hole spectroscopy via adiabatic invariance
In this paper, we obtain the black hole spectroscopy by combining the black
hole property of adiabaticity and the oscillating velocity of the black hole
horizon. This velocity is obtained in the tunneling framework. In particular,
we declare, if requiring canonical invariance, the adiabatic invariant quantity
should be of the covariant form . Using it,
the horizon area of a Schwarzschild black hole is quantized independent of the
choice of coordinates, with an equally spaced spectroscopy always given by
in the Schwarzschild and Painlev\'{e}
coordinates.Comment: 13 pages, some references added, to be published in Phys. Lett.
Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circle
Cyclic structure and dynamics are of great interest in both the fields of
stochastic processes and nonequilibrium statistical physics. In this paper, we
find a new symmetry of the Brownian motion named as the quasi-time-reversal
invariance. It turns out that such an invariance of the Brownian motion is the
key to prove the cycle symmetry for diffusion processes on the circle, which
says that the distributions of the forming times of the forward and backward
cycles, given that the corresponding cycle is formed earlier than the other,
are exactly the same. With the aid of the cycle symmetry, we prove the strong
law of large numbers, functional central limit theorem, and large deviation
principle for the sample circulations and net circulations of diffusion
processes on the circle. The cycle symmetry is further applied to obtain
various types of fluctuation theorems for the sample circulations, net
circulation, and entropy production rate.Comment: 28 page
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