9,519 research outputs found
Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
We consider a partially hyperbolic set on a Riemannian manifold whose
tangent space splits as , for which the
centre-unstable direction expands non-uniformly on some local unstable
disk. We show that under these assumptions induces a Gibbs-Markov
structure. Moreover, the decay of the return time function can be controlled in
terms of the time typical points need to achieve some uniform expanding
behavior in the centre-unstable direction. As an application of the main result
we obtain certain rates for decay of correlations, large deviations, an almost
sure invariance principle and the validity of the Central Limit Theorem.Comment: 23 page
Magneto-chiral scattering of light: a new optical manifestation of chirality
We have investigated multiple scattering of light in systems subject to
magneto-chiral (MC) effects. Our medium consists of magneto-optically active
dipoles placed in a chiral geometry under the influence of an external magnetic
field. We have calculated, for the first time, the total and the differential
scattering MC cross sections of this system, explicitely showing that they are
proportional to pseudoscalar quantities. This provides a new optical measure
for the degree of chirality, a pseudoscalar g, of an arbitrary geometrical
configuration of scatterers based on its scattering properties. We have
calculated g for some simple chiral systems and we have even used it to probe
the degree of optical chirality of random systems. Finally, we have compared
with other recently defined chiral measures in literature.Comment: 18 pages, 6 figures, RevTeX. Submitted to PR
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