1,945 research outputs found
Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
In this talk we present our recent studies for the unpolarized fragmentation
functions for the pion and kaon, employing the nonlocal chiral quark model,
which manifests the nonlocal interaction between the quarks and pseudoscalar
mesons, in the light-cone frame. It turns out that the nonlocal interaction
produces considerable differences in comparison to typical local-interaction
models.Comment: 4 pages, 2 figures, Talk given at the international conference The
Fifth Asia-Pacific Conference on Few-Body Systems in Physics 2011 (APFB2011),
Seoul, Republic of Korea, 22-26 August 201
Effect of nonlocal interactions on the disorder-induced zero-bias anomaly in the Anderson-Hubbard model
To expand the framework available for interpreting experiments on disordered
strongly correlated systems, and in particular to explore further the
strong-coupling zero-bias anomaly found in the Anderson-Hubbard model, we ask
how this anomaly responds to the addition of nonlocal electron-electron
interactions. We use exact diagonalization to calculate the single-particle
density of states of the extended Anderson-Hubbard model. We find that for weak
nonlocal interactions the form of the zero-bias anomaly is qualitatively
unchanged. The energy scale of the anomaly continues to be set by an effective
hopping amplitude renormalized by the nonlocal interaction. At larger values of
the nonlocal interaction strength, however, hopping ceases to be a relevant
energy scale and higher energy features associated with charge correlations
dominate the density of states.Comment: 9 pages, 7 figure
Nonlocal-interaction vortices
We consider sequences of quadratic non-local functionals, depending on a
small parameter \e, that approximate the Dirichlet integral by a well-known
result by Bourgain, Brezis and Mironescu. Similarly to what is done for
hard-core approximations to vortex energies in the case of the Dirichlet
integral, we further scale such energies by |\log\e|^{-1} and restrict them
to -valued functions. We introduce a notion of convergence of functions to
integral currents with respect to which such energies are equi-coercive, and
show the converge to a vortex energy, similarly to the limit behaviour of
Ginzburg-Landau energies at the vortex scaling
Existence of Ground States of Nonlocal-Interaction Energies
We investigate which nonlocal-interaction energies have a ground state
(global minimizer). We consider this question over the space of probability
measures and establish a sharp condition for the existence of ground states. We
show that this condition is closely related to the notion of stability (i.e.
-stability) of pairwise interaction potentials. Our approach uses the direct
method of the calculus of variations.Comment: This version is to appear in the J Stat Phy
Stochastic waves in a Brusselator model with nonlocal interaction
We show that intrinsic noise can induce spatio-temporal phenomena such as
Turing patterns and travelling waves in a Brusselator model with nonlocal
interaction terms. In order to predict and to characterize these quasi-waves we
analyze the nonlocal model using a system-size expansion. The resulting theory
is used to calculate the power spectra of the quasi-waves analytically, and the
outcome is tested successfully against simulations. We discuss the possibility
that nonlocal models in other areas, such as epidemic spread or social
dynamics, may contain similar stochastically-induced patterns.Comment: 13 pages, 6 figure
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