8,272 research outputs found
Toward a Formal Semantics for Autonomic Components
Autonomic management can improve the QoS provided by parallel/ distributed
applications. Within the CoreGRID Component Model, the autonomic management is
tailored to the automatic - monitoring-driven - alteration of the component
assembly and, therefore, is defined as the effect of (distributed) management
code. This work yields a semantics based on hypergraph rewriting suitable to
model the dynamic evolution and non-functional aspects of Service Oriented
Architectures and component-based autonomic applications. In this regard, our
main goal is to provide a formal description of adaptation operations that are
typically only informally specified. We contend that our approach makes easier
to raise the level of abstraction of management code in autonomic and adaptive
applications.Comment: 11 pages + cover pag
Coloured extension of GL_q(2) and its dual algebra
We address the problem of duality between the coloured extension of the
quantised algebra of functions on a group and that of its quantised universal
enveloping algebra i.e. its dual. In particular, we derive explicitly the
algebra dual to the coloured extension of GL_q(2) using the coloured RLL
relations and exhibit its Hopf structure. This leads to a coloured
generalisation of the R-matrix procedure to construct a bicovariant
differential calculus on the coloured version of GL_q(2). In addition, we also
propose a coloured generalisation of the geometric approach to quantum group
duality given by Sudbery and Dobrev.Comment: 10 pages LaTeX. Talk given at the "XXIII International Colloquium on
Group Theoretical Methods in Physics", July 31 - August 05, 2000, Dubna
(Russia); to appear in the proceeding
Contraction of the G_r,s Quantum Group to its Nonstandard analogue and corresponding Coloured Quantum Groups
The quantum group G_r,s provides a realisation of the two parameter quantum
GL_p,q(2) which is known to be related to the two parameter nonstandard
GL_hh'(2) group via a contraction method. We apply the contraction procedure to
G_r,s and obtain a new Jordanian quantum group G_m,k. Furthermore, we provide a
realisation of GL_h,h'(2) in terms of G_m,k. The contraction procedure is then
extended to the coloured quantum group GL_r{\lambda,\mu}(2) to yield a new
Jordanian quantum group GL_m{\lambda,\mu}(2). Both G_r,s and G_m,k are then
generalised to their coloured versions which inturn provide similar
realisations of GL_r{\lambda,\mu}(2) and GL_m{\lambda,\mu}(2).Comment: 22 pages LaTeX, to be published in J. Math. Phy
Kinetic dissipation and anisotropic heating in a turbulent collisionless plasma
The kinetic evolution of the Orszag-Tang vortex is studied using
collisionless hybrid simulations. In the magnetohydrodynamic regime this vortex
leads rapidly to broadband turbulence. Significant differences from MHD arise
at small scales, where the fluid scale energy dissipates into heat almost
exclusively through the magnetic field because the protons are decoupled from
the magnetic field. Although cyclotron resonance is absent, the protons heat
preferentially in the plane perpendicular to the mean field, as in the corona
and solar wind. Effective transport coefficients are calculated.Comment: 4 pages, 4 figures. Submitted to PR
Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
In earlier papers we have applied multiple scattering techniques to calculate
Casimir forces due to scalar fields between different bodies described by delta
function potentials. When the coupling to the potentials became weak,
closed-form results were obtained. We simplify this weak-coupling technique and
apply it to the case of tenuous dielectric bodies, in which case the method
involves the summation of van der Waals (Casimir-Polder) interactions. Once
again exact results for finite bodies can be obtained. We present closed
formulas describing the interaction between spheres and between cylinders, and
between an infinite plate and a retangular slab of finite size. For such a
slab, we consider the torque acting on it, and find non-trivial equilibrium
points can occur.Comment: 4 pages, 3 figure
A (p,q) Deformation of the Universal Enveloping Superalgebra U(osp(2/2))
We investigate a two parameter quantum deformation of the universal
enveloping orthosymplectic superalgebra U(osp(2/2)) by extending the
Faddeev-Reshetikhin-Takhtajan formalism to the supersymetric case. It is shown
that possesses a non-commutative, non-cocommutative Hopf
algebra structure. All the results are expressed in the standard form using
quantum Chevalley basis.Comment: 8 pages; IC/93/41
Reducible Correlations in Dicke States
We apply a simple observation to show that the generalized Dicke states can
be determined from their reduced subsystems. In this framework, it is
sufficient to calculate the expression for only the diagonal elements of the
reudced density matrices in terms of the state coefficients. We prove that the
correlation in generalized Dicke states can be reduced to
-partite level. Application to the Quantum Marginal Problem is also
discussed.Comment: 12 pages, single column; accepted in J. Phys. A as FT
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