10,671 research outputs found
Magnetic structures and Z_2 vortices in a non-Abelian gauge model
The magnetic order of the triangular lattice with antiferromagnetic
interactions is described by an SO(3) field and allows for the presence of Z2
magnetic vortices as defects. In this work we show how these Z2 vortices can be
fitted into a local SU(2) gauge theory. We propose simple Ansatzes for vortex
configurations and calculate their energies using well-known results of the
Abelian gauge model. We comment on how Dzyaloshinskii-Moriya interactions could
be derived from a non-Abelian gauge theory and speculate on their effect on non
trivial configurations
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretisation schemes
We introduce a numerical method to integrate the stochastic
Landau-Lifshitz-Gilbert equation in spherical coordinates for generic
discretization schemes. This method conserves the magnetization modulus and
ensures the approach to equilibrium under the expected conditions. We test the
algorithm on a benchmark problem: the dynamics of a uniformly magnetized
ellipsoid. We investigate the influence of various parameters, and in
particular, we analyze the efficiency of the numerical integration, in terms of
the number of steps needed to reach a chosen long time with a given accuracy.Comment: 9 pages and 7 figure
Self-dual Chern-Simons solitons in noncommutative space
We construct exact soliton solutions to the Chern-Simons-Higgs system in
noncommutative space, for non-relativistic and relativistic models. In both
cases we find regular vortex-like solutions to the BPS equations which approach
the ordinary selfdual non-topological and topological solitons when the
noncommutative parameter goes to zero.Comment: 15 pages, 4 figure
How to Find Suitable Ontologies Using an Ontology-based WWW Broker
Knowledge reuse by means of outologies now faces three important problems: (1) there are no standardized identifying features that characterize ontologies from the user point of view; (2) there are no web sites using the same logical organization, presenting relevant information about ontologies; and (3) the search for appropriate ontologies is hard, time-consuming and usually fruitless. To solve the above problems, we present: (1) a living set of features that allow us to characterize ontologies from the user point of view and have the same logical organization; (2) a living domain ontology about ontologies (called ReferenceOntology) that gathers, describes and has links to existing ontologies; and (3) (ONTO)2Agent, the ontology-based www broker about ontologies that uses the Reference Ontology as a source of its knowledge and retrieves descriptions of ontologies that satisfy a given set of constraints. (ONTO)~Agent is available at http://delicias.dia.fi.upm.es/REFERENCE ONTOLOGY
Depinning and dynamics of AC driven vortex lattices in random media
We study the different dynamical regimes of a vortex lattice driven by AC
forces in the presence of random pinning via numerical simulations. The
behaviour of the different observables is charaterized as a function of the
applied force amplitude for different frequencies. We discuss the
inconveniences of using the mean velocity to identify the depinnig transition
and we show that instead, the mean quadratic displacement of the lattice is the
relevant magnitude to characterize different AC regimes. We discuss how the
results depend on the initial configuration and we identify new hysteretic
effects which are absent in the DC driven systems.Comment: 6 pages, 4 figure
Vortex solutions in the noncommutative torus
Vortex configurations in the two-dimensional torus are considered in
noncommutative space. We analyze the BPS equations of the Abelian Higgs model.
Numerical solutions are constructed for the self-dual and anti-self dual cases
by extending an algorithm originally developed for ordinary commutative space.
We work within the Fock space approach to noncommutative theories and the
Moyal-Weyl connection is used in the final stage to express the solutions in
configuration space.Comment: 18 pages, 5 figure
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