2,632 research outputs found
Dimensionality of Local Minimizers of the Interaction Energy
In this work we consider local minimizers (in the topology of transport
distances) of the interaction energy associated to a repulsive-attractive
potential. We show how the imensionality of the support of local minimizers is
related to the repulsive strength of the potential at the origin.Comment: 27 page
Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
In this paper, we investigate nonlocal interaction equations with
repulsive-attractive radial potentials. Such equations describe the evolution
of a continuum density of particles in which they repulse each other in the
short range and attract each other in the long range. We prove that under some
conditions on the potential, radially symmetric solutions converge
exponentially fast in some transport distance toward a spherical shell
stationary state. Otherwise we prove that it is not possible for a radially
symmetric solution to converge weakly toward the spherical shell stationary
state. We also investigate under which condition it is possible for a
non-radially symmetric solution to converge toward a singular stationary state
supported on a general hypersurface. Finally we provide a detailed analysis of
the specific case of the repulsive-attractive power law potential as well as
numerical results. We point out the the conditions of radial ins/stability are
sharp.Comment: 42 pages, 7 figure
Alien Registration- Belisle, Raoul G. (Lewiston, Androscoggin County)
https://digitalmaine.com/alien_docs/29991/thumbnail.jp
Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
We evaluate the dressed Polyakov loop for hot quark matter in strong magnetic
field. To compute the finite temperature effective potential, we use the
Polyakov extended Nambu-Jona Lasinio model with eight-quark interactions taken
into account. The bare quark mass is adjusted in order to reproduce the
physical value of the vacuum pion mass. Our results show that the dressed
Polyakov loop is very sensitive to the strenght of the magnetic field, and it
is capable to capture both the deconfinement crossover and the chiral
crossover. Besides, we compute self-consistently the phase diagram of the
model. We find a tiny split of the two aforementioned crossovers as the
strength of the magnetic field is increased. Concretely, for the largest value
of magnetic field investigated here, , the split is of the order
of . A qualitative comparison with other effective models and recent
Lattice results is also performed.Comment: 10 pages, 3 figures, RevTeX4-1 styl
Site occupation constraints in mean-field approaches of quantum spin systems at finite temperature
We study the effect of site occupation on the description of quantum spin
systems at finite temperature and mean-field level. We impose each lattice site
to be occupied by a single electron. This is realized by means of a specific
prescription. The outcome of the prescription is compared to the result
obtained by means of a projection procedure which fixes the site occupation to
one particle per site on an average. The comparison is performed for different
representations of the Hamiltonian in Fock space leading to different types of
mean-field solutions. The behaviour of order parameters is analyzed for each
choice of the mean-field and constraint which fixes the occupation rate at each
site. Sizable quantitative differences between the outcomes obtained with the
two different constraints are observed.Comment: 18 pages, 2 figure
Chiral magnetic effect in the PNJL model
We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop
(PNJL model) in the presence of a strong magnetic field and a chiral chemical
potential which mimics the effect of imbalanced chirality due to QCD
instanton and/or sphaleron transitions. Firstly we focus on the properties of
chiral symmetry breaking and deconfinement crossover under the strong magnetic
field. Then we discuss the role of on the phase structure. Finally the
chirality charge, electric current, and their susceptibility, which are
relevant to the Chiral Magnetic Effect, are computed in the model.Comment: Some reference added. Minor revisions. One figure added. To appear on
Phys. Rev.
Chiral symmetry restoration in (2+1)-dimensional with a Maxwell-Chern-Simons term at finite temperature
We study the role played by a Chern-Simons contribution to the action in the
formulation of a two-dimensional Heisenberg model of quantum spin
systems with a strictly fixed site occupation at finite temperature. We show
how this contribution affects the screening of the potential which acts between
spinons and contributes to the restoration of chiral symmetry in the spinon
sector. The constant which characterizes the Chern-Simons term can be related
to the critical temperature above which the dynamical mass goes to zero.Comment: 8 pages, 4 figure
Chiral magnetic effect in the PNJL model
We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop
(PNJL model) in the presence of a strong magnetic field and a chiral chemical
potential which mimics the effect of imbalanced chirality due to QCD
instanton and/or sphaleron transitions. Firstly we focus on the properties of
chiral symmetry breaking and deconfinement crossover under the strong magnetic
field. Then we discuss the role of on the phase structure. Finally the
chirality charge, electric current, and their susceptibility, which are
relevant to the Chiral Magnetic Effect, are computed in the model.Comment: Some reference added. Minor revisions. One figure added. To appear on
Phys. Rev.
A compact fluorescence and polarization near-field scanning optical microscope
We present a transmission, fluorescence, and polarization near-field scanning optical microscope with shear-force feedback control that is small in size and simple to operate. This microscope features an ultrafine mechanical tip/sample approach with continuous manual submicron control over a range of several millimeters. The piezo-driven 12 μm x-yx-y scan range is complimented by a 4 mm coarse mechanical translation range in each direction. The construction materials used in the mechanical feedback loop have been carefully chosen for thermal compatibility in order to reduce differential expansion and contraction between the tip and sample. A unique pressure-fit sample mount allows for quick and reliable sample exchange. Shear-force feedback light is delivered to the scan head via an optical fiber so that a remote laser of any type may be used as a source. This dither light is collimated and refocused onto the tip, delivering a consistently small spot which is collected by a high numerical aperture objective. This new scan head incorporates an optical system which will permit the linearization of scan piezo response similar to a scheme used successfully with atomic force microscopy. This is designed to both overcome the piezo’s inherent hysteresis and to eliminate drift during long duration spatial scans or spectroscopic measurements at a single location. The scan head design offers added flexibility due to the use of optical fibers to deliver the dither and scan linearization light, and functions in any orientation for use in conjunction with upright or inverted optical microscopes. © 1998 American Institute of Physics.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/70291/2/RSINAK-69-7-2685-1.pd
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