7,936 research outputs found
The inverse problem for rough controlled differential equations
We provide a necessary and sufficient condition for a rough control driving a
differential equation to be reconstructable, to some order, from observing the
resulting controlled evolution. Physical examples and applications in
stochastic filtering and statistics demonstrate the practical relevance of our
result.Comment: added section on rough path theor
On the surface critical behaviour in Ising strips: density-matrix renormalization-group study
Using the density-matrix renormalization-group method we study the surface
critical behaviour of the magnetization in Ising strips in the subcritical
region. Our results support the prediction that the surface magnetization in
the two phases along the pseudo-coexistence curve also behaves as for the
ordinary transition below the wetting temperature for the finite value of the
surface field.Comment: 15 pages, 9 figure
Critical, crossover, and correction-to-scaling exponents for isotropic Lifshitz points to order
A two-loop renormalization group analysis of the critical behaviour at an
isotropic Lifshitz point is presented. Using dimensional regularization and
minimal subtraction of poles, we obtain the expansions of the critical
exponents and , the crossover exponent , as well as the
(related) wave-vector exponent , and the correction-to-scaling
exponent to second order in . These are compared with
the authors' recent -expansion results [{\it Phys. Rev. B} {\bf 62}
(2000) 12338; {\it Nucl. Phys. B} {\bf 612} (2001) 340] for the general case of
an -axial Lifshitz point. It is shown that the expansions obtained here by a
direct calculation for the isotropic () Lifshitz point all follow from the
latter upon setting . This is so despite recent claims to the
contrary by de Albuquerque and Leite [{\it J. Phys. A} {\bf 35} (2002) 1807].Comment: 11 pages, Latex, uses iop stylefiles, some graphs are generated
automatically via texdra
Exotic hybrid mesons in hard electroproduction
We estimate the sizeable cross section for deep exclusive electroproduction
of an exotic hybrid meson in the Bjorken regime. The production
amplitude scales like the one for usual meson electroproduction, i.e. as
. This is due to the non-vanishing leading twist distribution amplitude
for the hybrid meson, which may be normalized thanks to its relation to the
energy momentum tensor and to the QCD sum rules technique. The hard amplitude
is considered up to next-to-leading order in and we explore the
consequences of fixing the renormalization scale ambiguity through the BLM
procedure. We study the particular case where the hybrid meson decays through a
meson pair. We discuss the generalized distribution
amplitude and then calculate the production amplitude for this process. We
propose a forward-backward asymmetry in the production of and
mesons as a signal for the hybrid meson production. We briefly comment on
hybrid electroproduction at very high energy, in the diffractive limit where a
QCD Odderon exchange mechanism should dominate. The conclusion of our study is
that hard electroproduction is a promissing way to study exotic hybrid mesons,
in particular at JLAB, HERA (HERMES) or CERN (Compass)
Boundary critical behaviour at -axial Lifshitz points: the special transition for the case of a surface plane parallel to the modulation axes
The critical behaviour of -dimensional semi-infinite systems with
-component order parameter is studied at an -axial bulk
Lifshitz point whose wave-vector instability is isotropic in an -dimensional
subspace of . Field-theoretic renormalization group methods are
utilised to examine the special surface transition in the case where the
potential modulation axes, with , are parallel to the surface.
The resulting scaling laws for the surface critical indices are given. The
surface critical exponent , the surface crossover exponent
and related ones are determined to first order in
\epsilon=4+\case{m}{2}-d. Unlike the bulk critical exponents and the surface
critical exponents of the ordinary transition, is -dependent already
at first order in . The \Or(\epsilon) term of is
found to vanish, which implies that the difference of and
the bulk exponent is of order .Comment: 21 pages, one figure included as eps file, uses IOP style file
Real Compton Scattering via Color Dipoles
We study photoabsorption reaction and real Compton scattering (RCS) within
the color dipole model. We rely on a photon wave function derived in the
instanton vacuum model, and on the energy dependent phenomenological elastic
dipole amplitude. Data for the photoabsorption cross section at high energies
agree with our parameter free calculations. We also provide predictions for the
differential RCS cross section. Although no data for small angle Compton
scattering are available so far, this process can be measured in
ultra-peripheral hadronic and nuclear collisions at the LHC.Comment: 9 pages, 4 figures. Some statements clarified, bibliographic
inaccuracy correcte
Thermodynamic Casimir effects involving interacting field theories with zero modes
Systems with an O(n) symmetrical Hamiltonian are considered in a
-dimensional slab geometry of macroscopic lateral extension and finite
thickness that undergo a continuous bulk phase transition in the limit
. The effective forces induced by thermal fluctuations at and above
the bulk critical temperature (thermodynamic Casimir effect) are
investigated below the upper critical dimension by means of
field-theoretic renormalization group methods for the case of periodic and
special-special boundary conditions, where the latter correspond to the
critical enhancement of the surface interactions on both boundary planes. As
shown previously [\textit{Europhys. Lett.} \textbf{75}, 241 (2006)], the zero
modes that are present in Landau theory at make conventional
RG-improved perturbation theory in dimensions ill-defined. The
revised expansion introduced there is utilized to compute the scaling functions
of the excess free energy and the Casimir force for temperatures
T\geqT_{c,\infty} as functions of , where
is the bulk correlation length. Scaling functions of the
-dependent residual free energy per area are obtained whose
limits are in conformity with previous results for the Casimir amplitudes
to and display a more reasonable
small- behavior inasmuch as they approach the critical value
monotonically as .Comment: 23 pages, 10 figure
Alunos de hoje, professores de amanhã : dificuldades recorrentes com a Hisdrostática
Este trabalho apresenta a análise das idéias de futuros professores de ciências quanto a temática de hidrostática, em específico sobre o processo de funcionamento de um sifão. As idéias foram coletadas a partir da aplicação de duas perguntas elaboradas com o intuito de caracterizalas para posterior análise. Esta análise aponta para a existência de algumas concepções distintas sobre o tema. São apontados também obstáculos associadas a estas concepções em relação á compreensão do ponto de vista científico dos fenômenos estudados
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