11,437 research outputs found
A Plan of Farm Organization for Hill Land Farms in Southeastern Ohio
Exact date of bulletin unknown.PDF pages: 2
Deterministic ratchet from stationary light fields
Ratchets are dynamic systems where particle transport is induced by
zero-average forces due to the interplay between nonlinearity and asymmetry.
Generally, they rely on the effect of a strong external driving. We show that
stationary optical lattices can be designed to generate particle flow in one
direction while requiring neither noise nor driving. Such optical fields must
be arranged to yield a combination of conservative (dipole) and nonconservative
(radiation pressure) forces. Under strong friction all paths converge to a
discrete set of limit periodic trajectories flowing in the same direction.Comment: 6 pages, 4 figure
Rational approximation and arithmetic progressions
A reasonably complete theory of the approximation of an irrational by
rational fractions whose numerators and denominators lie in prescribed
arithmetic progressions is developed in this paper. Results are both, on the
one hand, from a metrical and a non-metrical point of view and, on the other
hand, from an asymptotic and also a uniform point of view. The principal
novelty is a Khintchine type theorem for uniform approximation in this context.
Some applications of this theory are also discussed
Deep MMT Transit Survey of the Open Cluster M37 IV: Limit on the Fraction of Stars With Planets as Small as 0.3 R_J
We present the results of a deep (15 ~< r ~< 23), 20 night survey for
transiting planets in the intermediate age open cluster M37 (NGC 2099) using
the Megacam wide-field mosaic CCD camera on the 6.5m MMT. We do not detect any
transiting planets among the ~1450 observed cluster members. We do, however,
identify a ~ 1 R_J candidate planet transiting a ~ 0.8 Msun Galactic field star
with a period of 0.77 days. The source is faint (V = 19.85 mag) and has an
expected velocity semi-amplitude of K ~ 220 m/s (M/M_J). We conduct Monte Carlo
transit injection and recovery simulations to calculate the 95% confidence
upper limit on the fraction of cluster members and field stars with planets as
a function of planetary radius and orbital period. Assuming a uniform
logarithmic distribution in orbital period, we find that < 1.1%, < 2.7% and <
8.3% of cluster members have 1.0 R_J planets within Extremely Hot Jupiter (EHJ,
0.4 < T < 1.0 day), Very Hot Jupiter (VHJ, 1.0 < T < 3.0 days) and Hot Jupiter
(HJ, 3.0 < T < 5.0 days) period ranges respectively. For 0.5 R_J planets the
limits are < 3.2%, and < 21% for EHJ and VHJ period ranges, while for 0.35 R_J
planets we can only place an upper limit of < 25% on the EHJ period range. For
a sample of 7814 Galactic field stars, consisting primarily of FGKM dwarfs, we
place 95% upper limits of < 0.3%, < 0.8% and < 2.7% on the fraction of stars
with 1.0 R_J EHJ, VHJ and HJ assuming the candidate planet is not genuine. If
the candidate is genuine, the frequency of ~ 1.0 R_J planets in the EHJ period
range is 0.002% < f_EHJ < 0.5% with 95% confidence. We place limits of < 1.4%,
< 8.8% and < 47% for 0.5 R_J planets, and a limit of < 16% on 0.3 R_J planets
in the EHJ period range. This is the first transit survey to place limits on
the fraction of stars with planets as small as Neptune.Comment: 61 pages, 19 figures, 5 tables, replaced with the version accepted
for publication in Ap
Complete chaotic synchronization in mutually coupled time-delay systems
Complete chaotic synchronization of end lasers has been observed in a line of
mutually coupled, time-delayed system of three lasers, with no direct
communication between the end lasers. The present paper uses ideas from
generalized synchronization to explain the complete synchronization in the
presence of long coupling delays, applied to a model of mutually coupled
semiconductor lasers in a line. These ideas significantly simplify the analysis
by casting the stability in terms of the local dynamics of each laser. The
variational equations near the synchronization manifold are analyzed, and used
to derive the synchronization condition that is a function of the parameters.
The results explain and predict the dependence of synchronization on various
parameters, such as time-delays, strength of coupling and dissipation. The
ideas can be applied to understand complete synchronization in other chaotic
systems with coupling delays and no direct communication between synchronized
sub-systems.Comment: 22 pages, 6 figure
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