12,538 research outputs found
Spin-transfer-driven nano-oscillators are equivalent to parametric resonators
The equivalence between different physical systems permits us to transfer
knowledge between them and to characterize the universal nature of their
dynamics. We demonstrate that a nanopillar driven by a spin-transfer torque is
equivalent to a rotating magnetic plate, which permits us to consider the
nanopillar as a macroscopic system under a time-modulated injection of energy,
that is, a simple parametric resonator. This equivalence allows us to
characterize the phases diagram and to predict magnetic states and dynamical
behaviors, such as solitons, stationary textures, and oscillatory localized
states, among others. Numerical simulations confirm these predictions.Comment: 8 pages, 7 figure
On the computation of confluent hypergeometric functions for large imaginary part of parameters b and z
The final publication is available at http://link.springer.com/chapter/10.1007%2F978-3-319-42432-3_30We present an efficient algorithm for the confluent hypergeometric functions when the imaginary part of b and z is large. The algorithm is based on the steepest descent method, applied to a suitable representation of the confluent hypergeometric functions as a highly oscillatory integral, which is then integrated by using various quadrature methods. The performance of the algorithm is compared with open-source and commercial software solutions with arbitrary precision, and for many cases the algorithm achieves high accuracy in both the real and imaginary parts. Our motivation comes from the need for accurate computation of the characteristic function of the Arcsine distribution or the Beta distribution; the latter being required in several financial applications, for example, modeling the loss given default in the context of portfolio credit risk.Peer ReviewedPostprint (author's final draft
Temperature control of thermal radiation from heterogeneous bodies
We demonstrate that recent advances in nanoscale thermal transport and
temperature manipulation can be brought to bear on the problem of tailoring
thermal radiation from compact emitters. We show that wavelength-scale
composite bodies involving complicated arrangements of phase-change
chalcogenide (GST) glasses and metals or semiconductors can exhibit large
emissivities and partial directivities at mid-infrared wavelengths, a
consequence of temperature localization within the GST. We consider multiple
object topologies, including spherical, cylindrical, and mushroom-like
composites, and show that partial directivity follows from a complicated
interplay between particle shape, material dispersion, and temperature
localization. Our calculations exploit a recently developed fluctuating-volume
current formulation of electromagnetic fluctuations that rigorously captures
radiation phenomena in structures with both temperature and dielectric
inhomogeneities.Comment: 17 pages, 7 figuer
Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha
A time-varying fine structure constant alpha(t) could give rise to Lorentz-
and CPT-violating changes to the vacuum polarization, which would affect photon
propagation. Such changes to the effective action can violate gauge invariance,
but they are otherwise permitted. However, in the minimal theory of varying
alpha, no such terms are generated at lowest order. At second order, vacuum
polarization can generate an instability--a Lorentz-violating analogue of a
negative photon mass squared -m^2 proportional to alpha [(d alpha/dt) /
alpha]^2 log (Lambda^2), where Lambda is the cutoff for the low-energy
effective theory.Comment: 14 page
Thin film instability with thermal noise
We study the effects of stochastic thermal fluctuations on the instability of
the free surface of a flat liquid film upon a solid substrate. These
fluctuations are represented as a standard Brownian motion that can be added to
the deterministic equation for the film thickness within the lubrication
approximation. Here, we consider that while the noise term is white in time, it
is coloured in space. This allows for the introduction of a finite correlation
length in the description of the randomized intermolecular interaction.
Together with the expected spatial periodicity of the flow, we find a
dimensionless parameter, , that accounts for the relative importance of
the spatial correlation. We perform here the linear stability analysis (LSA) of
the film under the influence of both terms, and find the corresponding power
spectra for the amplitudes of the normal modes of the instability. We compare
this theoretical result with the numerical simulations of the complete
non-linear problem, and find a good agreement for early times. For late times,
we find that the stochastic LSA predictions on the dominant wavelength remains
basically valid. We also use the theoretical spectra to fit experimental data
from a nanometric melted copper film, and find the corresponding times of the
evolution as well as the values of the parameter,
- …