3,967 research outputs found
Phase transition of the three-dimensional chiral Ginzburg-Landau model -- search for the chiral phase
Nature of the phase transition of regularly frustrated vector spin systems in
three dimensions is investigated based on a Ginzburg-Landau-type effective
Hamiltonian. On the basis of the variational analysis of this model, Onoda et
al recently suggested the possible occurrence of a chiral phase, where the
vector chirality exhibits a long-range order without the long-range order of
the spin [Phys. Rev. Lett. 99, 027206 (2007)]. In the present paper, we
elaborate their analysis by considering the possibility of a first-order
transition which was not taken into account in their analysis. We find that the
first-order transition indeed occurs within the variational approximation,
which significantly reduces the stability range of the chiral phase, while the
chiral phase still persists in a restricted parameter range. Then, we perform
an extensive Monte Carlo simulation focusing on such a parameter range.
Contrary to the variational result, however, we do not find any evidence of the
chiral phase. The range of the chiral phase, if any, is estimated to be less
than 0.1% in the temperature width.Comment: 19 pages, 17 figure
Compatible Poisson Structures of Toda Type Discrete Hierarchy
An algebra isomorphism between algebras of matrices and difference operators
is used to investigate the discrete integrable hierarchy. We find local and
non-local families of R-matrix solutions to the modified Yang-Baxter equation.
The three R-theoretic Poisson structures and the Suris quadratic bracket are
derived. The resulting family of bi-Poisson structures include a seminal
discrete bi-Poisson structure of Kupershmidt at a special value.Comment: 22 pages, LaTeX, v3: Minor change
Noise and Inertia-Induced Inhomogeneity in the Distribution of Small Particles in Fluid Flows
The dynamics of small spherical neutrally buoyant particulate impurities
immersed in a two-dimensional fluid flow are known to lead to particle
accumulation in the regions of the flow in which rotation dominates over shear,
provided that the Stokes number of the particles is sufficiently small. If the
flow is viewed as a Hamiltonian dynamical system, it can be seen that the
accumulations occur in the nonchaotic parts of the phase space: the
Kolmogorov--Arnold--Moser tori. This has suggested a generalization of these
dynamics to Hamiltonian maps, dubbed a bailout embedding. In this paper we use
a bailout embedding of the standard map to mimic the dynamics of impurities
subject not only to drag but also to fluctuating forces modelled as white
noise. We find that the generation of inhomogeneities associated with the
separation of particle from fluid trajectories is enhanced by the presence of
noise, so that they appear in much broader ranges of the Stokes number than
those allowing spontaneous separation
Isospin Symmetry Breaking and the -System
Simple quark models for the low lying vector mesons suggest a mixing between
the u- and d-flavors and a violation of the isospin symmetry for the
- system much stronger than observed. It is shown that the chiral
dynamics, especially the QCD anomaly, is responsible for a restoration of the
isospin symmetry in the -system.Comment: 4 pages, espcrc2.st
Magnetic and electric properties in the distorted tetrahedral spin chain system Cu3Mo2O9
We study the multiferroic properties in the distorted tetrahedral quasi-one
dimensional spin system CuMoO, in which the effects of the low
dimensionality and the magnetic frustration are expected to appear
simultaneously. We clarify that the antiferromagnetic order is formed together
with ferroelectric properties at K under zero magnetic field
and obtain the magnetic-field-temperature phase diagram by measuring dielectric
constant and spontaneous electric polarization. It is found that the
antiferromagnetic phase possesses a spontaneous electric polarization parallel
to the c axis when the magnetic field is applied parallel to the a axis. On
the other hand, there are three different ferroelectric phases in the
antiferromagnetic phase for parallel to the c axis.Comment: 4 pages, 3 figures, LT26 proceedings, accepted for publication in J.
Phys.: Conf. Se
Universal properties of highly frustrated quantum magnets in strong magnetic fields
The purpose of the present paper is two-fold. On the one hand, we review some
recent studies on the low-temperature strong-field thermodynamic properties of
frustrated quantum spin antiferromagnets which admit the so-called
localized-magnon eigenstates. One the other hand, we provide some complementary
new results. We focus on the linear independence of the localized-magnon
states, the estimation of their degeneracy with the help of auxiliary classical
lattice-gas models and the analysis of the contribution of these states to
thermodynamics.Comment: Paper based on the invited talk given by J. Richter at the
International Conference "Statistical Physics 2006. Condensed Matter: Theory
and Applications" dedicated to the 90th anniversary of Ilya Lifshitz
(Kharkiv, 11-15 September, 2006
Consistent analysis of the reaction and
The production of mesons in the reactions and
is described consistently within a relativistic meson exchange
model of hadronic interactions. The photoproduction can be described quite well
over the entire energy range of available data by considering an and a
resonance, in addition to the -channel mesonic current. The
observed angular distribution is due to the interference between the
-channel and the nucleon resonance - and -channel contributions. Our
analysis yields positions close to 1650 MeV and 1870 MeV for the and
resonances, respectively. We argue that, at present, identifying these
states with the known resonance and the missing
resonance predicted at 1880 MeV, respectively, would be premature. It is found
that the nucleonic current is relatively small and that the
coupling constant cannot be much larger than . As for the
reaction, different current contributions are
constrained by a combined analysis of this and the photoproduction reaction.
Difficulties to simultaneously account for the 47-MeV and 144-MeV angular
distributions measured by the COSY-11 and DISTO collaborations, respectively,
are addressed.Comment: minor revision, scheduled to a appear in Phys. Rev. C 69 (May 2004),
revtex, 17 pages, 10 figures, 3 table
The Ideal Mixing Departure in Vector Meson Physics
In this work we study the departure for the ideal mixing angle
in the frame of the Nambu-Jona-Lasinio model. We have shown that in that
context, the flavour symmetry breaking is unable to produce the shifting in the
mixing angle. We introduce a nonet symmetry breaking in the neutral vector
sector to regulate the non-strange content of the meson. The phenomenon
is well reproduced by our proposal.Comment: 12 pages incl. 1 figur
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