171 research outputs found
Localization Instability in the Rotating D-branes
In the microcanonical ensemble for string theory on ,
there is a phase transition between a black hole solution extended over the
and a solution localized on the if the has the topology
. The phase transition will not appear if the has
the topology , that is, when the geometry
is regarded as arising from the near-horizon limit of a black brane. In
this paper, we argue that when the black branes are rotating, the localization
phase transition will occur between some rotating branes and corresponding Kerr
black holes when the angular momentum reaches its critical value.Comment: Revtex, 9 pages, no figures, final versio
Chaos in the segments from Korean traditional singing and western singing
We investigate the time series of the segments from a Korean traditional song
``Gwansanyungma'' and a western song ``La Mamma Morta'' using chaotic analysis
techniques.
It is found that the phase portrait in the reconstructed state space of the
time series of the segment from the Korean traditional song has a more complex
structure in comparison with the segment from the western songs. The segment
from the Korean traditional song has the correlation dimension 4.4 and two
positive Lyapunov exponents which show that the dynamic related to the Korean
traditional song is a high dimensional hyperchaotic process. On the other hand,
the segment from the western song with only one positive Lyapunov exponent and
the correlation dimension 2.5 exhibits low dimensional chaotic behavior.Comment: 23 pages including 10 eps figures, latex, to appear in J. Acoust.
Soc. A
Black Holes in Two Dimensional Dilaton Gravity and Nonlinear Klein-Gordon Soliton
Two-dimensional dilaton gravity coupled to a Klein-Gordon matter field with a
quartic interaction term is considered. The theory has a classical solution
which exhibits black hole formation by a soliton. The geometry of black hole
induced by a soliton is investigated.Comment: 9 pages, no figures, late
Critical Behavior in the Rotating D-branes
The low energy excitation of the rotating D3-branes is thermodynamically
stable up to a critical angular momentum density. This indicates that there is
a corresponding phase transition of the =4 large super Yang-Mills
theory at finite temperature. On the side of supergravity, we investigate the
phase transition in the grand canonical ensemble and canonical ensemble. Some
critical exponents of thermodynamic quantities are calculated. They obey the
static scaling laws. Using the scaling laws related to the correlation length,
we get the critical exponents of the correlation function of gauge field. The
thermodynamic stability of low energy excitations of the rotating M5-branes and
rotating M2-branes is also studied and similar critical behavior is observed.
We find that the critical point is shifted in the different ensembles and there
is no critical point in the canonical ensemble for the rotating M2-branes. We
also discuss the Hawking-Page transition for these rotating branes. In the
grand canonical ensemble, the Hawking-Page transition does not occur. In the
canonical ensemble, however, the Hawking-Page transition may appear for the
rotating D3- and M5-branes, but not for the rotating M2-branes.Comment: Revtex, 17 pages, minor changes, the discussion on the Hawking-Page
transition and references adde
- …