43,556 research outputs found
Direction dependent free energy singularity of the asymmetric six-vertex model
The transition from the ordered commensurate phase to the incommensurate
gaussian phase of the antiferroelectric asymmetric six-vertex model is
investigated by keeping the temperature constant below the roughening point and
varying the external fields . In the plane, the phase boundary
is approached along straight lines , where measures the displacement from the phase boundary. It is found
that the free energy singularity displays the exponent 3/2 typical of the
Pokrovski-Talapov transition for any
direction other than the tangential one. In the latter case shows a
discontinuity in the third derivative.Comment: 18 pages, Latex, 1 figure, minor corrections and two references
change
CCD BVRI and 2MASS Photometry of the Poorly Studied Open Cluster NGC 6631
Here we have obtained the {\it BVRI CCD} photometry down to a limiting
magnitude of 20 for the southern poorly studied open cluster NGC 6631.
It is observed from the {\it 1.88 m} Telescope of Kottamia Observatory in
Egypt. About 3300 stars have been observed in an area of around the cluster center. The main photometric parameters
have been estimated and compared with the results that determined for the
cluster using {\it JHKs 2MASS} photometric database. The cluster's diameter is
estimated to be 10 arcmin; the reddening E(B-V)= 0.68 0.10 mag, E(J-H)=
0.21 0.10 mag, the true modulus (m-M)= 12.16 0.10 mag, which
corresponds to a distance of 2700 125 pc and age of 500 50 Myr.Comment: 13 pages, 6 figure
Quasi-long-range order in the random anisotropy Heisenberg model: functional renormalization group in 4-\epsilon dimensions
The large distance behaviors of the random field and random anisotropy O(N)
models are studied with the functional renormalization group in 4-\epsilon
dimensions. The random anisotropy Heisenberg (N=3) model is found to have a
phase with the infinite correlation radius at low temperatures and weak
disorder. The correlation function of the magnetization obeys a power law <
m(x) m(y) >\sim |x-y|^{-0.62\epsilon}. The magnetic susceptibility diverges at
low fields as \chi \sim H^{-1+0.15\epsilon}. In the random field O(N) model the
correlation radius is found to be finite at the arbitrarily weak disorder for
any N>3. The random field case is studied with a new simple method, based on a
rigorous inequality. This approach allows one to avoid the integration of the
functional renormalization group equations.Comment: 12 pages, RevTeX; a minor change in the list of reference
WSRT Faraday tomography of the Galactic ISM at \lambda \sim 0.86 m
We investigate the distribution and properties of Faraday rotating and
synchrotron emitting regions in the Galactic ISM in the direction of the
Galactic anti-centre. We apply Faraday tomography to a radio polarization
dataset that we obtained with the WSRT. We developed a new method to calculate
a linear fit to periodic data, which we use to determine rotation measures from
our polarization angle data. From simulations of a Faraday screen + noise we
could determine how compatible the data are with Faraday screens. An
unexpectedly large fraction of 14% of the lines-of-sight in our dataset show an
unresolved main component in the Faraday depth spectrum. For lines-of-sight
with a single unresolved component we demonstrate that a Faraday screen in
front of a synchrotron emitting region that contains a turbulent magnetic field
component can explain the data.Comment: 5 pages, 5 figures. Accepted for publication as a Letter to the
Editor in A&
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