14,115 research outputs found
Conservation Laws and 2D Black Holes in Dilaton Gravity
A very general class of Lagrangians which couple scalar fields to gravitation
and matter in two spacetime dimensions is investigated. It is shown that a
vector field exists along whose flow lines the stress-energy tensor is
conserved, regardless of whether or not the equations of motion are satisfied
or if any Killing vectors exist. Conditions necessary for the existence of
Killing vectors are derived. A new set of 2D black hole solutions is obtained
for one particular member within this class of Lagrangians. One such solution
bears an interesting resemblance to the 2D string-theoretic black hole, yet
contains markedly different thermodynamic properties.Comment: 11 pgs. WATPHYS-TH92/0
Hydrodynamics of Monolayer Domains at the Air-Water Interface
Molecules at the air-water interface often form inhomogeneous layers in which
domains of different densities are separated by sharp interfaces. Complex
interfacial pattern formation may occur through the competition of short- and
long-range forces acting within the monolayer. The overdamped hydrodynamics of
such interfacial motion is treated here in a general manner that accounts for
dissipation both within the monolayer and in the subfluid. Previous results on
the linear stability of interfaces are recovered and extended, and a
formulation applicable to the nonlinear regime is developed. A simplified
dynamical law valid when dissipation in the monolayer itself is negligible is
also proposed. Throughout the analysis, special attention is paid to the
dependence of the dynamical behavior on a characteristic length scale set by
the ratio of the viscosities in the monolayer and in the subphase.Comment: 12 pages, RevTeX, 4 ps figures, accepted in Physics of Fluids
Perturbative approach for mass varying neutrinos coupled to the dark sector in the generalized Chaplygin gas scenario
We suggest a perturbative approach for generic choices for the universe
equation of state and introduce a novel framework for studying mass varying
neutrinos (MaVaN's) coupled to the dark sector. For concreteness, we examine
the coupling between neutrinos and the underlying scalar field associated with
the generalized Chaplygin gas (GCG), a unification model for dark energy and
dark matter. It is shown that the application of a perturbative approach to
MaVaN mechanisms translates into a constraint on the coefficient of a linear
perturbation, which depends on the ratio between a neutrino energy dependent
term and scalar field potential terms. We quantify the effects on the MaVaN
sector by considering neutrino masses generated by the seesaw mechanism. After
setting the GCG parameters in agreement with general cosmological constraints,
we find that the squared speed of sound in the neutrino-scalar GCG fluid is
naturally positive. In this scenario, the model stability depends on previously
set up parameters associated with the equation of state of the universe. Our
results suggest that the GCG is a particularly suitable candidate for
constructing a stable MaVaN scenario.Comment: 27 pages, 9 figure
Quasiclassical Equations of Motion for Nonlinear Brownian Systems
Following the formalism of Gell-Mann and Hartle, phenomenological equations
of motion are derived from the decoherence functional formalism of quantum
mechanics, using a path-integral description. This is done explicitly for the
case of a system interacting with a ``bath'' of harmonic oscillators whose
individual motions are neglected. The results are compared to the equations
derived from the purely classical theory. The case of linear interactions is
treated exactly, and nonlinear interactions are compared using classical and
quantum perturbation theory.Comment: 24 pages, CALT-68-1848 (RevTeX 2.0 macros
Bubbles Unbound: Bubbles of Nothing Without Kaluza-Klein
I present analytic time symmetric initial data for five dimensions describing
``bubbles of nothing'' which are asymptotically flat in the higher dimensional
sense, i.e. there is no Kaluza-Klein circle asymptotically. The mass and size
of these bubbles may be chosen arbitrarily and in particular the solutions
contain bubbles of any size which are arbitrarily light. This suggests the
solutions may be important phenomenologically and in particular I show that at
low energy there are bubbles which expand outwards, suggesting a new possible
instability in higher dimensions. Further, one may find bubbles of any size
where the only region of high curvature is confined to an arbitrarily small
volume.Comment: 27 pages, 2 figures, v2: minor changes, published versio
Natural model with an inverse seesaw and leptonic dark matter
We consider a model for a Z'-boson coupled only to baryon minus lepton number
and hypercharge. Besides the usual right-handed neutrinos, we add a pair of
fermions with a fractional lepton charge, which we therefore call leptinos. One
of the leptinos is taken to be odd under an additional Z_2 charge, the other
even. This allows for a natural (inverse) seesaw mechanism for neutrino masses.
The odd leptino is a candidate for dark matter, but has to be resonantly
annihilated by the Z'-boson or the Higgs-boson responsible for giving mass to
the former. Considering collider and cosmological bounds on the model, we find
that the Z'-boson and/or the extra Higgs-boson can be seen at the LHC. With
more pairs of leptinos leptogenesis is possible.Comment: 29 pages, 9 figures. RGE section moved to appendix and other minor
corrections applied to matched published versio
D6 Family Symmetry and Cold Dark Matter at LHC
We consider a non-supersymmetric extension of the standard model with a
family symmetry based on D6 Z2 Z2, where one of Z2's is exactly conserved. This
Z2 forbids the tree-level neutrino masses and simultaneously ensures the
stability of cold dark matter candidates. From the assumption that cold dark
matter is fermionic we can single out the D6 singlet right-handed neutrino as
the best cold dark mater candidate. We find that an inert charged Higgs with a
mass between 300 and 750 GeV decays mostly into an electron (or a positron)
with a large missing energy, where the missing energy is carried away by the
cold dark matter candidate. This will be a clean signal at LHC.Comment: 20 pages, 7 figure
Strategies to Promote Meaningful Student Engagement in Online Settings
Distance learning or online education has increased significantly over the past decade to coincide with easy access to technology and the availability of multifaceted learning management system software that can be used to develop asynchronous educational experiences (Ginder et al., 2018). The increased demand for online education, as well as unprecedented circumstances (Covid-19 Pandemic) that require quick changes to instructional delivery alternatives, have resulted in many traditional face-to-face programs transitioning into online and hybrid (e.g., part online and part face-to-face) programs across curriculum content areas to attract and retain full and part-time learners (DuPont et al., 2018). Effective online instruction must be engaging and meaningful/relevant. Course authors and instructors in higher education must incorporate strategies to maximize student engagement to develop high-quality learning experiences in online environments (Fallahi, 2019; Weidlich & Bastiaens, 2018). This article discusses the application of varied strategies and instructional practices to help instructors in post-secondary educational settings enhance the quality of teaching and social presence in the online learning environment. The strategies addressed are connected to the teachers’ ability to integrate multifaceted learning goals into instructional planning and delivery in order to create effective online learning environments that may improve outcomes for students across settings and content areas (Dixson, 2015; Henrie et al., 2015; Moore & Shemberger, 2019)
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