265 research outputs found
Brownian motion of black holes in stellar systems with non-Maxwellian distribution for the stars field
A massive black hole at the center of a dense stellar system, such as a
globular cluster or a galactic nucleus, is subject to a random walk due
gravitational encounters with nearby stars. It behaves as a Brownian particle,
since it is much more massive than the surrounding stars and moves much more
slowly than they do. If the distribution function for the stellar velocities is
Maxwellian, there is a exact equipartition of kinetic energy between the black
hole and the stars in the stationary state. However, if the distribution
function deviates from a Maxwellian form, the strict equipartition cannot be
achieved. The deviation from equipartition is quantified in this work by
applying the Tsallis q-distribution for the stellar velocities in a
q-isothermal stellar system and in a generalized King model.Comment: Presented at XXVI Int. Astronomical Union General Assembly, Symp.
238, Prague, Czech Republic, Aug 21-25 200
BEDT-TTF organic superconductors: the entangled role of phonons
We calculate the lattice phonons and the electron-phonon coupling of the
organic superconductor \kappa-(BEDT-TTF)_2 I_3, reproducing all available
experimental data connected to phonon dynamics. Low-frequency intra-molecular
vibrations are strongly mixed to lattice phonons. Both acoustic and optical
phonons are appreciably coupled to electrons through the modulation of the
hopping integrals (e-LP coupling). By comparing the results relevant to
superconducting \kappa- and \beta-(BEDT-TTF)_2 I_3, we show that
electron-phonon coupling is fundamental to the pairing mechanism. Both e-LP and
electron-molecular vibration (e-MV) coupling are essential to reproduce the
critical temperatures. The e-LP coupling is stronger, but e-MV is instrumental
to increase the average phonon frequency.Comment: 4 pages, including 4 figures. Published version, with Ref. 17
corrected after publicatio
Logarithmic diffusion and porous media equations: a unified description
In this work we present the logarithmic diffusion equation as a limit case
when the index that characterizes a nonlinear Fokker-Planck equation, in its
diffusive term, goes to zero. A linear drift and a source term are considered
in this equation. Its solution has a lorentzian form, consequently this
equation characterizes a super diffusion like a L\'evy kind. In addition is
obtained an equation that unifies the porous media and the logarithmic
diffusion equations, including a generalized diffusion equation in fractal
dimension. This unification is performed in the nonextensive thermostatistics
context and increases the possibilities about the description of anomalous
diffusive processes.Comment: 5 pages. To appear in Phys. Rev.
Correlation gap in the optical spectra of the two-dimensional organic metal (BEDT-TTF)_4[Ni(dto)_2]
Optical reflection measurements within the highly conducting (a,b)-plane of
the organic metal (BEDT-TTF)_4[Ni(dto)_2] reveal the gradual development of a
sharp feature at around 200 cm as the temperature is reduced below 150 K. Below
this frequency a narrow Drude-like response is observed which accounts for the
metallic behavior. Since de Haas-von Alphen oscillations at low temperatures
confirm band structure calculations of bands crossing the Fermi energy, we
assign the observed behavior to a two-dimensional metallic state in the
proximity of a correlation induced metal-insulator transition.Comment: 4 pages, 2 figure
Phonon anomalies due to strong electronic correlations in layered organic metals
We show how the coupling between the phonons and electrons in a strongly
correlated metal can result in phonon frequencies which have a non-monotonic
temperature dependence. Dynamical mean-field theory is used to study the
Hubbard-Holstein model that describes the \kappa-(BEDT-TTF)_2 X family of
superconducting molecular crystals. The crossover with increasing temperature
from a Fermi liquid to a bad metal produces phonon anomalies that are
consistent with recent Raman scattering and acoustic experiments.Comment: 6 pages, 3 eps figure
Nonlinear equation for anomalous diffusion: unified power-law and stretched exponential exact solution
The nonlinear diffusion equation is analyzed here, where , and , and are real parameters.
This equation unifies the anomalous diffusion equation on fractals ()
and the spherical anomalous diffusion for porous media (). Exact
point-source solution is obtained, enabling us to describe a large class of
subdiffusion (), normal diffusion () and
superdiffusion (). Furthermore, a thermostatistical basis
for this solution is given from the maximum entropic principle applied to the
Tsallis entropy.Comment: 3 pages, 2 eps figure
Thermal Conductivity of superconducting (TMTSF)_2ClO_4: evidence for a nodeless gap
We report on the first measurements of thermal conductivity in the
superconducting state of (TMTSF)_2ClO_4. The electronic contribution to heat
transport is found to decrease rapidly below T_c, indicating the absence of
low-energy electronic excitations. We argue that this result provides strong
evidence for a nodeless superconducting gap function but does not exclude a
possible unconventional order parameter.Comment: 4 pages including 4 figures, submitted to Phys. Rev. Let
Anti-de Sitter curvature radius constrained by quasars in brane-world scenarios
This paper is intended to investigate the luminosity due to accretion of gas
in supermassive black holes (SMBHs) in the center of quasars, using a
brane-world scenario naturally endowed with extra dimensions, whereon theories
formulated introduce corrections in the field equations at high energies. SMBHs
possess the necessary highly energetic environment for the introduction of
these corrections, which are shown to produce small deviations in all SMBH
properties and, consequentely, corrections in the accretion theory that
supports quasars radiative processes. The radiative flux observed from quasars
indicates these deviations, from which the magnitude of the AdS bulk
curvature radius, and consequently the extra dimension compactification radius
is estimated.Comment: 11 pages, RevTeX, Eq.(2) and (3) expanded, and comments thereon
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