158,398 research outputs found
Effects of Magnetic Fields on the Diskoseismic Modes of Accreting Black Holes
The origin of the rapid quasi-periodic variabilities observed in a number of
accreting black hole X-ray binaries is not understood. It has been suggested
that these variabilities are associated with diskoseismic oscillation modes of
the black hole accretion disk. In particular, in a disk with no magnetic field,
the so-called g-modes (inertial oscillations) can be self-trapped at the inner
region of the disk due to general relativistic effects. Real accretion disks,
however, are expected to be turbulent and contain appreciable magnetic fields.
We show in this paper that even a weak magnetic field (with the magnetic energy
much less than the thermal energy) can modify or "destroy" the self-trapping
zone of disk g-modes, rendering their existence questionable in realistic black
hole accretion disks. The so-called corrugation modes (c-modes) are also
strongly affected when the poloidal field approaches equal-partition. On the
other hand, acoustic oscillations (p-modes), which do not have vertical
structure, are not affected qualitatively by the magnetic field, and therefore
may survive in a turbulent, magnetic disk.Comment: 21 pages, 5 figures, accepted for publication in Ap
Nuclear Magnetic Relaxation Rate in the Vortex State of a Chiral p-Wave Superconductor
The site-selective nuclear spin-lattice relaxation rate T1^{-1} is
theoretically studied inside a vortex core in a chiral p-wave superconductor
within the framework of the quasiclassical theory of superconductivity. It is
found that T1^{-1} at the vortex center depends on the sense of the chirality
relative to the sense of the magnetic field. Our numerical result shows a
characteristic difference in T1^{-1} between the two chiral states, k_x + i k_y
and k_x - i k_y under the magnetic field.Comment: 2 pages, 2 figures; To be published in Physica C; Proc. of LT23,
Hiroshima (Japan), 20-27 Aug. 200
Corotational Damping of Diskoseismic C-modes in Black Hole Accretion Discs
Diskoseismic c-modes in accretion discs have been invoked to explain
low-frequency variabilities observed in black-hole X-ray binaries. These modes
are trapped in the inner-most region of the disc and have frequencies much
lower than the rotation frequency at the disc inner radius. We show that
because the trapped waves can tunnel through the evanescent barrier to the
corotational wave zone, the c-modes are damped due to wave absorption at the
corotation resonance. We calculate the corotational damping rates of various
c-modes using the WKB approximation. The damping rate varies widely depending
on the mode frequency, the black hole spin parameter and the disc sound speed,
and is generally much less than 10% of the mode frequency. A sufficiently
strong excitation mechanism is needed to overcome this corotational damping and
make the mode observable.Comment: 10 pages, 5 figures, MNRAS in pres
Direct Calculation of Thermodynamic Quantities for Heisenberg Model
The XXX Heisenberg model is studied at finite temperature. The free energy is
derived without recourse to Thermal Bethe Ansatz method and Quantum Transfer
Matrix method. The result perfectly agrees with the free energy derived by
Thermal Bethe Ansatz method. An explicit expression of the cluster expansion
coefficient in arbitrary order is presented for the first time.Comment: 26 page
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