2,096 research outputs found
A Stochastic Immersed Boundary Method for Fluid-Structure Dynamics at Microscopic Length Scales
In this work it is shown how the immersed boundary method of (Peskin2002) for
modeling flexible structures immersed in a fluid can be extended to include
thermal fluctuations. A stochastic numerical method is proposed which deals
with stiffness in the system of equations by handling systematically the
statistical contributions of the fastest dynamics of the fluid and immersed
structures over long time steps. An important feature of the numerical method
is that time steps can be taken in which the degrees of freedom of the fluid
are completely underresolved, partially resolved, or fully resolved while
retaining a good level of accuracy. Error estimates in each of these regimes
are given for the method. A number of theoretical and numerical checks are
furthermore performed to assess its physical fidelity. For a conservative
force, the method is found to simulate particles with the correct Boltzmann
equilibrium statistics. It is shown in three dimensions that the diffusion of
immersed particles simulated with the method has the correct scaling in the
physical parameters. The method is also shown to reproduce a well-known
hydrodynamic effect of a Brownian particle in which the velocity
autocorrelation function exhibits an algebraic tau^(-3/2) decay for long times.
A few preliminary results are presented for more complex systems which
demonstrate some potential application areas of the method.Comment: 52 pages, 11 figures, published in journal of computational physic
Parton showers as sources of energy-momentum deposition in the QGP and their implication for shockwave formation at RHIC and at the LHC
We derive the distribution of energy and momentum transmitted from a primary
fast parton and its medium-induced bremsstrahlung gluons to a thermalized
quark-gluon plasma. Our calculation takes into account the important and thus
far neglected effects of quantum interference between the resulting color
currents. We use our result to obtain the rate at which energy is absorbed by
the medium as a function of time and find that the rate is modified by the
quantum interference between the primary parton and secondary gluons. This
Landau-Pomeranchuk-Migdal type interference persists for time scales relevant
to heavy ion phenomenology. We further couple the newly derived source of
energy and momentum deposition to linearized hydrodynamics to obtain the bulk
medium response to realistic parton propagation and splitting in the
quark-gluon plasma. We find that because of the characteristic large angle
in-medium gluon emission and the multiple sources of energy deposition in a
parton shower, formation of well defined Mach cones by energetic jets in heavy
ion reactions is not likely.Comment: 8 pages, 4 figure
Anomalous Currents on Closed Surfaces: Extended Proximity, Partial Quantization, and Qubits
Motivated by the surface of topological insulators, the Dirac anomaly's
discontinuous dependence on sign of the mass, , is investigated on
closed topologies when mass terms are weak or only partially cover the surface.
It is found that, unlike the massive Dirac theory on an infinite plane, there
is a smoothly decreasing current when the mass region is not infinite; also, a
massive finite region fails to exhibit a Hall current edge--exerting an
extended proximity effect, which can, however, be uniformly small--and
oppositely orientated Hall phases are fully quantized while accompanied by
diffuse chiral modes. Examples are computed using Dirac energy eigenstates on a
flat torus (genus one topology) and closed cap cylinder (genus zero topology)
for various mass-term geometries. Finally, from the resulting the properties of
the surface spectra, a potential application for a flux-charge qubit is
presented.Comment: 22 pages, 13 figures. References and focus updated. Added effective
action arguments. Same text as published versio
Connection between a possible fifth force and the direct detection of Dark Matter
If there is a fifth force in the dark sector and dark sector particles
interact non-gravitationally with ordinary matter, quantum corrections
generically lead to a fifth force in the visible sector. We show how the strong
experimental limits on fifth forces in the visible sector constrain the direct
detection cross section, and the strength of the fifth force in the dark
sector. If the latter is comparable to gravity, the spin-independent direct
detection cross section must typically be <~ 10^{-55} cm^2. The anomalous
acceleration of ordinary matter falling towards dark matter is also
constrained: \eta_{OM-DM} <~ 10^{-8}.Comment: 4 pages, 2 figures. v3: contains a more detailed treatment of the
spin-dependence of the effective interaction between dark matter and ordinary
matte
Why a splitting in the final state cannot explain the GSI-Oscillations
In this paper, I give a pedagogical discussion of the GSI anomaly. Using two
different formulations, namely the intuitive Quantum Field Theory language of
the second quantized picture as well as the language of amplitudes, I clear up
the analogies and differences between the GSI anomaly and other processes (the
Double Slit experiment using photons, scattering, and
charged pion decay). In both formulations, the conclusion is reached that the
decay rate measured at GSI cannot oscillate if only Standard Model physics is
involved and the initial hydrogen-like ion is no coherent superposition of more
than one state (in case there is no new, yet unknown, mechanism at work).
Furthermore, a discussion of the Quantum Beat phenomenon will be given, which
is often assumed to be able to cause the observed oscillations. This is,
however, not possible for a splitting in the final state only.Comment: 10 pages, 3 figures; matches published version (except for some
stylistic ambiguities
One-loop counterterms in the Yang-Mills theory with gauge invariant ghost field Lagrangian
One-loop calculations of renormalization constants in the model with gauge
invariant ghost field Lagrangian are performed. It is shown that the model is
asymptotically free and the renormalization constants satisfy the same equation
as in the ordinary Yang-Mills theory.Comment: 11 pages, 6 figure
Trident pair production in strong laser pulses
We calculate the trident pair production amplitude in a strong laser
background. We allow for finite pulse duration, while still treating the laser
fields nonperturbatively in strong-field QED. Our approach reveals explicitly
the individual contributions of the one-step and two-step processes. We also
expose the role gauge invariance plays in the amplitudes and discuss the
relation between our results and the optical theorem.Comment: 4 pages, 1 .eps figure. Version 2: reference added, published versio
Five-Dimensional QED, Muon Pair Production and Correction to the Coulomb Potential
We consider QED in five dimensions in a configuration where matter is
localized on a 3-brane while foton propagates in the bulk. The idea is to
investigate the effects of the Kaluza-Klein modes of the photon in the
relativistic regime, but in low energy, and in the nonrelativistic regime. In
the relativistic regime, we calculate the cross section for the reaction . We compare our theoretical result with a precise
measurement of this cross section at GeV. As result, we
extract a lower bound on the size of the extra dimension. In the
nonrelativistic regime, we derive the contribution for the Coulomb potential
due to the whole tower of the Kaluza-Klein excited modes of the photon. We use
the modified potential to calculate the Rutherford scattering differential
cross section.Comment: minor changes, three new refs. added, to appear in IJMP
The Kondo crossover in shot noise of a single quantum dot with orbital degeneracy
We investigate out of equilibrium transport through an orbital Kondo system
realized in a single quantum dot, described by the multiorbital impurity
Anderson model. Shot noise and current are calculated up to the third order in
bias voltage in the particle-hole symmetric case, using the renormalized
perturbation theory. The derived expressions are asymptotically exact at low
energies. The resulting Fano factor of the backscattering current is
expressed in terms of the Wilson ratio and the orbital degeneracy as
at zero temperature. Then,
for small Coulomb repulsions , we calculate the Fano factor exactly up to
terms of order , and also carry out the numerical renormalization group
calculation for intermediate in the case of two- and four-fold degeneracy
(). As increases, the charge fluctuation in the dot is suppressed,
and the Fano factor varies rapidly from the noninteracting value to the
value in the Kondo limit , near the crossover region
, with the energy scale of the hybridization .Comment: 10 pages, 4 figure
Gauge invariance in two-particle scattering
It is shown how gauge invariance is obtained for the coupling of a photon to
a two-body state described by the solution of the Bethe-Salpeter equation. This
is illustrated both for a complex scalar field theory and for interaction
kernels derived from chiral effective Lagrangians.Comment: 16 pages, 2 figures, references added and commented o
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