36,643 research outputs found
Correction to: Some results on the p(u)-Laplacian problem
Correction to: Mathematische Annalen
https://doi.org/10.1007/s00208-019-01803-w
In the Original Publication of the article, few errors have been identified in section 5
and acknowledgements section.Agência financiadora
Ministry of Education and Science, Russian Federation
117198
Portuguese Foundation for Science and Technology (FCT), Portugal
SFRH/BSAB/135242/2017info:eu-repo/semantics/publishedVersio
Simulating Male Selfish Strategy in Reproduction Dispute
We introduce into the Penna Model for biological ageing one of the possible
male mechanisms used to maximize the ability of their sperm to compete with
sperm from other males. Such a selfish mechanism increases the male
reproduction success but may decrease the survival probability of the whole
female population, depending on how it acts. We also find a dynamic phase
transition induced by the existence of an absorbing state where no selfish
males survive.Comment: 7 pages, latex including 2 eps figure
Collision-Dependent Atom Tunnelling Rate in Bose-Einstein Condensates
We show that the interaction (cross-collision) between atoms trapped in
distinct sites of a double-well potential can significantly increase the atom
tunneling rate for special trap configurations leading to an effective linear
Rabi regime of population oscillation between the trap wells. The inclusion of
cross-collisional effects significantly extends the validity of the two-mode
model approach allowing it to be alternatively employed to explain the recently
observed increase of tunneling rates due to nonlinear interactions.Comment: 4 pages, 2 figures. Replaced with improved versio
Optimal Conditions for Atomic Homodyne Detection on Bose-Einstein Condensates
The dynamics of a two-mode Bose-Einstein condensate trapped in a double-well
potential results approximately in an effective Rabi oscillation regime of
exchange of population between both wells for sufficiently strong overlap
between the modes functions. Facing this system as a temporal atomic beam
splitter we show that this regime is optimal for a nondestructive atom-number
measurement allowing an atomic homodyne detection, thus yielding indirect
relative phase information about one of the two-mode condensates.Comment: 9 pages, 5 figure
Nematic liquid crystal dynamics under applied electric fields
In this paper we investigate the dynamics of liquid crystal textures in a
two-dimensional nematic under applied electric fields, using numerical
simulations performed using a publicly available LIquid CRystal Algorithm
(LICRA) developed by the authors. We consider both positive and negative
dielectric anisotropies and two different possibilities for the orientation of
the electric field (parallel and perpendicular to the two-dimensional lattice).
We determine the effect of an applied electric field pulse on the evolution of
the characteristic length scale and other properties of the liquid crystal
texture network. In particular, we show that different types of defects are
produced after the electric field is switched on, depending on the orientation
of the electric field and the sign of the dielectric anisotropy.Comment: 7 pages, 12 figure
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