10,736 research outputs found
Chern-Simons theory, exactly solvable models and free fermions at finite temperature
We show that matrix models in Chern-Simons theory admit an interpretation as
1D exactly solvable models, paralleling the relationship between the Gaussian
matrix model and the Calogero model. We compute the corresponding Hamiltonians,
ground-state wavefunctions and ground-state energies and point out that the
models can be interpreted as quasi-1D Coulomb plasmas. We also study the
relationship between Chern-Simons theory on and a system of N
one-dimensional fermions at finite temperature with harmonic confinement. In
particular we show that the Chern-Simons partition function can be described by
the density matrix of the free fermions in a very particular, crystalline,
configuration. For this, we both use the Brownian motion and the matrix model
description of Chern-Simons theory and find several common features with c=1
theory at finite temperature. Finally, using the exactly solvable model result,
we show that the finite temperature effect can be described with a specific
two-body interaction term in the Hamiltonian, with 1D Coulombic behavior at
large separations.Comment: 19 pages, v2: references adde
A note on the existence of standard splittings for conformally stationary spacetimes
Let be a spacetime which admits a complete timelike conformal Killing
vector field . We prove that splits globally as a standard
conformastationary spacetime with respect to if and only if is
distinguishing (and, thus causally continuous). Causal but non-distinguishing
spacetimes with complete stationary vector fields are also exhibited. For the
proof, the recently solved "folk problems" on smoothability of time functions
(moreover, the existence of a {\em temporal} function) are used.Comment: Metadata updated, 6 page
Multiple Sources toward the High-mass Young Star S140 IRS1
S140 IRS1 is a remarkable source where the radio source at the center of the
main bipolar molecular outflow in the region is elongated perpendicular to the
axis of the outflow, an orientation opposite to that expected if the radio
source is a thermal jet exciting the outflow. We present results of 1.3 cm
continuum and H2O maser emission observations made with the VLA in its A
configuration toward this region. In addition, we also present results of
continuum observations at 7 mm and re-analyse observations at 2, 3.5 and 6 cm
(previously published). IRS 1A is detected at all wavelengths, showing an
elongated structure. Three water maser spots are detected along the major axis
of the radio source IRS 1A. We have also detected a new continuum source at 3.5
cm (IRS 1C) located ~0.6'' northeast of IRS 1A. The presence of these two YSOs
(IRS 1A and 1C) could explain the existence of the two bipolar molecular
outflows observed in the region. In addition, we have also detected three
continuum clumps (IRS 1B, 1D and 1E) located along the major axis of IRS 1A. We
discuss two possible models to explain the nature of IRS 1A: a thermal jet and
an equatorial wind.Comment: 17 pages, 4 figures, to be published in A
Structure of characteristic Lyapunov vectors in spatiotemporal chaos
We study Lyapunov vectors (LVs) corresponding to the largest Lyapunov
exponents in systems with spatiotemporal chaos. We focus on characteristic LVs
and compare the results with backward LVs obtained via successive Gram-Schmidt
orthonormalizations. Systems of a very different nature such as coupled-map
lattices and the (continuous-time) Lorenz `96 model exhibit the same features
in quantitative and qualitative terms. Additionally we propose a minimal
stochastic model that reproduces the results for chaotic systems. Our work
supports the claims about universality of our earlier results [I. G. Szendro et
al., Phys. Rev. E 76, 025202(R) (2007)] for a specific coupled-map lattice.Comment: 9 page
Finsler geodesics in the presence of a convex function and their applications
We obtain a result about the existence of only a finite number of geodesics
between two fixed non-conjugate points in a Finsler manifold endowed with a
convex function. We apply it to Randers and Zermelo metrics. As a by-product,
we also get a result about the finiteness of the number of lightlike and
timelike geodesics connecting an event to a line in a standard stationary
spacetime.Comment: 16 pages, AMSLaTex. v2 is a minor revision: title changed, references
updated, typos fixed; it matches the published version. This preprint and
arXiv:math/0702323v3 [math.DG] substitute arXiv:math/0702323v2 [math.DG
Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor
We derive general relations between grain boundaries, rotational
deformations, and stress-free states for the mesoscale continuum Nye
dislocation density tensor. Dislocations generally are associated with
long-range stress fields. We provide the general form for dislocation density
fields whose stress fields vanish. We explain that a grain boundary (a
dislocation wall satisfying Frank's formula) has vanishing stress in the
continuum limit. We show that the general stress-free state can be written
explicitly as a (perhaps continuous) superposition of flat Frank walls. We show
that the stress-free states are also naturally interpreted as configurations
generated by a general spatially-dependent rotational deformation. Finally, we
propose a least-squares definition for the spatially-dependent rotation field
of a general (stressful) dislocation density field.Comment: 9 pages, 3 figure
Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
We study supersymmetry of a self-isospectral one-gap Poschl-Teller system in
the light of a mirror symmetry that is based on spatial and shift reflections.
The revealed exotic, partially broken nonlinear supersymmetry admits seven
alternatives for a grading operator. One of its local, first order supercharges
may be identified as a Hamiltonian of an associated one-gap, non-periodic
Bogoliubov-de Gennes system. The latter possesses a nonlinear supersymmetric
structure, in which any of the three non-local generators of a Clifford algebra
may be chosen as the grading operator. We find that the supersymmetry
generators for the both systems are the Darboux-dressed integrals of a free
spin-1/2 particle in the Schrodinger picture, or of a free massive Dirac
particle. Nonlocal Foldy- Wouthuysen transformations are shown to be involved
in the supersymmetric structure.Comment: 20 pages, comment added. Published versio
The tribe Spermacoceae (Rubiaceae) in the State of Ceará, northeastern Brazil
Tribe Spermacoceae comprises more than 1000 species and about 80 genera, being the largest lineage of herbaceous plants within Rubiaceae. Historically, it is marked by taxonomic complexes. This study aims to investígate the diversity and geographical distribution o f the tribe Spermacoceae in Ceará, in the Northeast región of Brazil. This State covers an area o f 150,000 km2 within the Caatinga domain and is divided into 11 phytoecological units, where the Crystalline Caatinga predominates. Specimens collected from 1990 to 2023, and collections from the EAC, HCDAL, HUEFS, HUVA, and PEUFR herbaria were analysed. The tribe is represented in Ceará by 31 species, of which Borreria savannicola and Mitracarpus fernandesii are endemic to the State, and seven genera, with Borreria being the most diverse (13 spp.), followed by Mitracarpus (six spp.), Hexasepalum (four spp.), Richardia and Spermacoce (three spp. each), andEmmeorhiza and Staelia (one sp. each). In total, 605 collections were verified. Morphological characteristics of fruit, seed, pollen, and intemal indumentum o f the corolla were diagnostic for taxonomic delimitation, with new species having been described for Science in recent years (B. apodiensis, B. savannicola, and H. nordestinum). Borreria scabiosoides has the broadest geographic range, while B. cupularis, B. savannicola, H. nordestinum, and M. polygonifolius are the most restricted species. The northwest región of Ceará is the most diverse (with 22 to 26 species), followed by the south (with 17 to 21 species). The same pattem was verified for the distribution o f records, with the northwest región having the highest numbers (232 to 289 records), whereas the south presents fewer records (59 to 116). Therefore, despite the northwest región having the highest number of species, the greatest diversity relative to the number o f records is found in the Southern región of Ceará.
Acknowledgements: FUNCAP (Process BP5-0197-00136.01.00/22); UVA
On the relation between virial coefficients and the close-packing of hard disks and hard spheres
The question of whether the known virial coefficients are enough to determine
the packing fraction at which the fluid equation of state of a
hard-sphere fluid diverges is addressed. It is found that the information
derived from the direct Pad\'e approximants to the compressibility factor
constructed with the virial coefficients is inconclusive. An alternative
approach is proposed which makes use of the same virial coefficients and of the
equation of state in a form where the packing fraction is explicitly given as a
function of the pressure. The results of this approach both for hard-disk and
hard-sphere fluids, which can straightforwardly accommodate higher virial
coefficients when available, lends support to the conjecture that
is equal to the maximum packing fraction corresponding to an ordered
crystalline structure.Comment: 10 pages, 6 figures; v2: discussion about hard-square and
hard-hexagon systems on a lattice added; five new reference
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