36,638 research outputs found
Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
It is shown that the effective interaction strength of three bosons at small
collision energies can be extracted from their wave function at zero energy. An
asymptotic expansion of this wave function at large interparticle distances is
derived, from which is defined a quantity named three-body scattering
hypervolume, which is an analog of the two-body scattering length. Given any
finite-range interaction potentials, one can thus predict the effective
three-body force from a numerical solution of the Schr\"{o}dinger equation. In
this way the constant for hard-sphere bosons is computed, leading to the
complete result for the ground state energy per particle of a dilute
Bose-Einstein condensate (BEC) of hard spheres to order , where
is the number density. Effects of are also demonstrated in the three-body
energy in a finite box of size , which is expanded to the order ,
and in the three-body scattering amplitude in vacuum. Another key prediction is
that there is a violation of the effective field theory (EFT) in the condensate
fraction in dilute BECs, caused by short-range physics. EFT predictions for the
ground state energy and few-body scattering amplitudes, however, are
corroborated.Comment: 24 pages, no figur
Joint perception: gaze and beliefs about social context
The way that we look at images is influenced by social context. Previously we demonstrated this phenomenon of joint perception. If lone participants believed that an unseen other person was also looking at the images they saw, it shifted the balance of their gaze between negative and positive images. The direction of this shift depended upon whether participants thought that later they would be compared against the other person or would be collaborating with them. Here we examined whether the joint perception is caused by beliefs about shared experience (looking at the same images) or beliefs about joint action (being engaged in the same task with the images). We place our results in the context of the emerging field of joint action, and discuss their connection to notions of group emotion and situated cognition. Such findings reveal the persuasive and subtle effect of social context upon cognitive and perceptual processes
Mechanistic and pathological study of the genesis, growth, and rupture of abdominal aortic aneurysms
Postprint (published version
Effects of rapid thermal annealing on device characteristics of InGaAs/GaAs quantum dot infrared photodetectors
In this work, rapid thermal annealing was performed on InGaAs/GaAs quantum dot infrared photodetectors (QDIPs) at different temperatures. The photoluminescence showed a blueshifted spectrum in comparison with the as-grown sample when the annealing temperature was higher than 700 °C, as a result of thermal interdiffusion of the quantum dots (QDs). Correspondingly, the spectral response from the annealed QDIP exhibited a redshift. At the higher annealing temperature of 800 °C, in addition to the largely redshifted photoresponse peak of 7.4 µm (compared with the 6.1 µm of the as-grown QDIP), a high energy peak at 5.6 µm (220 meV) was also observed, leading to a broad spectrum linewidth of 40%. This is due to the large interdiffusion effect which could greatly vary the composition of the QDs and thus increase the relative optical absorption intensity at higher energy. The other important detector characteristics such as dark current, peak responsivity, and detectivity were also measured. It was found that the overall device performance was not affected by low annealing temperature, however, for high annealing temperature, some degradation in device detectivity (but not responsivity) was observed. This is a consequence of increased dark current due to defect formation and increased ground state energy. © 2006 American Institute of Physic
Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
It has been shown in our previous publication
(Blawzdziewicz,Cristini,Loewenberg,2003) that high-viscosity drops in two
dimensional linear creeping flows with a nonzero vorticity component may have
two stable stationary states. One state corresponds to a nearly spherical,
compact drop stabilized primarily by rotation, and the other to an elongated
drop stabilized primarily by capillary forces. Here we explore consequences of
the drop bistability for the dynamics of highly viscous drops. Using both
boundary-integral simulations and small-deformation theory we show that a
quasi-static change of the flow vorticity gives rise to a hysteretic response
of the drop shape, with rapid changes between the compact and elongated
solutions at critical values of the vorticity. In flows with sinusoidal
temporal variation of the vorticity we find chaotic drop dynamics in response
to the periodic forcing. A cascade of period-doubling bifurcations is found to
be directly responsible for the transition to chaos. In random flows we obtain
a bimodal drop-length distribution. Some analogies with the dynamics of
macromolecules and vesicles are pointed out.Comment: 22 pages, 13 figures. submitted to Journal of Fluid Mechanic
How spherical plasma crystals form
The correlation buildup and the formation dynamics of the shell structure in
a spherically confined one-component plasma are studied. Using Langevin
dynamics simulations the relaxation processes and characteristic time scales
and their dependence on the pair interaction and dissipation in the plasma are
investigated. While in systems with Coulomb interaction (e.g. trapped ions) in
a harmonic confinement shell formation starts at the plasma edge and proceeds
inward, this trend is significantly weakened for dusty plasmas with Yukawa
interaction. With a suitable change of the confinement conditions the
crystallization scenario can be externally controlled
High energy Scattering in 2+1 QCD: A Dipole Picture
A dipole picture of high energy scattering is developed in the 2+1
dimensional QCD, following Mueller. A generalized integral equation for the
dipole density with a given separation and center of mass position is derived,
and meson-meson non-forward scattering amplitude is therefore calculated. We
also calculate the amplitude due to two pomeron exchange, and the triple
pomeron coupling. We compare the result obtained by this method to our previous
result based on an effective action approach, and find the two results agree at
the one pomeron exchange level.Comment: minor typos corrected. Postscript files are available through
anonymous ftp quark.het.brown.edu, in the directory /pub/preprints, file name
is 9407299. Hard copy is available upon reques
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