517,243 research outputs found
Global topological k-defects
We consider global topological defects in symmetry breaking models with a
non-canonical kinetic term. Apart from a mass parameter entering the potential,
one additional dimensional parameter arises in such models -- a ``kinetic''
mass. The properties of defects in these models are quite different from
``standard'' global domain walls, vortices and monopoles, if their kinetic mass
scale is smaller than their symmetry breaking scale. In particular, depending
on the concrete form of the kinetic term, the typical size of such a defect can
be either much larger or much smaller than the size of a standard defect with
the same potential term. The characteristic mass of a non-standard defect,
which might have been formed during a phase transition in the early universe,
depends on both the temperature of a phase transition and the kinetic mass.Comment: 7 pages, 3 figures; v2: references added, matches the published
versio
Kinetic parameter estimation from TGA: Optimal design of TGA experiments
This work presents a general methodology to determine kinetic models of solid thermal decomposition with thermogravimetric analysis (TGA) instruments. The goal is to determine a simple and robust kinetic model for a given solid with the minimum of TGA experiments. From this last point of view, this work can be seen as an attempt to find the optimal design of TGA experiments for kinetic modelling. Two computation tools were developed. The first is a nonlinear parameter estimation procedure for identifying parameters in nonlinear dynamical models. The second tool computes the thermogravimetric experiment (here, the programmed temperature profile applied to the thermobalance) required in order to identify the best kinetic parameters, i.e. parameters with a higher statistical reliability. The combination of the two tools can be integrated in an iterative approach generally called sequential strategy. The application concerns the thermal degradation of cardboard in a Setaram TGA instrument and the results that are presented demonstrate the improvements in the kinetic parameter estimation process
Coupled Quintessence and Phantom Based On a Dilaton
Based on dilatonic dark energy model, we consider two cases: dilaton field
with positive kinetic energy(coupled quintessence) and with negative kinetic
energy(phantom). In the two cases, we investigate the existence of attractor
solutions which correspond to an equation of state parameter and a
cosmic density parameter . We find that the coupled term
between matter and dilaton can't affect the existence of attractor solutions.
In the Mexican hat potential, the attractor behaviors, the evolution of state
parameter and cosmic density parameter , are shown
mathematically. Finally, we show the effect of coupling term on the evolution
of and with
respect to numerically.Comment: 9 pages, 11 figures, some references and Journal-ref adde
Saffman-Taylor fingers with kinetic undercooling
The mathematical model of a steadily propagating Saffman-Taylor finger in a
Hele-Shaw channel has applications to two-dimensional interacting streamer
discharges which are aligned in a periodic array. In the streamer context, the
relevant regularisation on the interface is not provided by surface tension,
but instead has been postulated to involve a mechanism equivalent to kinetic
undercooling, which acts to penalise high velocities and prevent blow-up of the
unregularised solution. Previous asymptotic results for the Hele-Shaw finger
problem with kinetic undercooling suggest that for a given value of the kinetic
undercooling parameter, there is a discrete set of possible finger shapes, each
analytic at the nose and occupying a different fraction of the channel width.
In the limit in which the kinetic undercooling parameter vanishes, the fraction
for each family approaches 1/2, suggesting that this 'selection' of 1/2 by
kinetic undercooling is qualitatively similar to the well-known analogue with
surface tension. We treat the numerical problem of computing these
Saffman-Taylor fingers with kinetic undercooling, which turns out to be more
subtle than the analogue with surface tension, since kinetic undercooling
permits finger shapes which are corner-free but not analytic. We provide
numerical evidence for the selection mechanism by setting up a problem with
both kinetic undercooling and surface tension, and numerically taking the limit
that the surface tension vanishes.Comment: 10 pages, 6 figures, accepted for publication by Physical Review
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