6,149 research outputs found
Planck Scale Physics and Bogoliubov Spaces in a Bose-Einstein Condensate
We analyze the consequences caused by a deformed dispersion relation,
suggested in several quantum gravity models, upon a bosonic gas. Concerning the
ground state of the Bogoliubov space of this system, we deduce the corrections
in the pressure, the speed of sound, and the corresponding healing length.
Indeed, we prove that the corrections in the relevant thermodynamic properties
associated with the ground state, defines a non trivial function of the density
of particles and the deformation parameters, allowing us to constrain, in
principle, the form of the modified energy-momentum dispersion relation
Rejoinder: Bayesian Checking of the Second Levels of Hierarchical Models
Rejoinder: Bayesian Checking of the Second Levels of Hierarchical Models
[arXiv:0802.0743]Comment: Published in at http://dx.doi.org/10.1214/07-STS235REJ the
Statistical Science (http://www.imstat.org/sts/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Numerical analysis of the stability of the Electrohydrodynamic (EHD) electroconvection between two plates
The time evolution of the problem of Electrohydrodynamic (EHD)
convection in a liquid between two plates is analysed numerically. The equations are
nondimensionalized using the ion drift velocity and the viscous time scales. Following
the non-dimensionalisation of the respective model, two different techniques have been
used to describe the charge evolution, namely the Finite-Element Flux-Corrected
Transport Method and the Particle-In-Cell technique. The results obtained with the
two schemes, apart from showing good agreement, have revealed the appearance of a
two-roll structure not described in previous works. This is investigated in detail for
both strong and weak injection.Ministerio de ciencia y tecnología FQM-42
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