3,864 research outputs found
Radiation Effects on the Flow near the Stagnation Point of a Stretching Sheet
The present paper is concerned with the study of the radiation effects (Rosseland model) on the flow of an incompressible viscous fluid over a flat sheet near the stagnation point. The system of ordinary differential equations is solved numerically using the Runge-Kutta method coupled with a shooting technique. The results show that a boundary layer is formed and its thickness increases with the radiation, velocity and temperature parameters and decreases when the Prandtl number is increased
Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
We present low temperature transport measurements in one dimensional
Josephson junctions rhombi chains. We have measured the current phase relation
of a chain of 8 rhombi. The junctions are either in the classical phase regime
with the Josephson energy much larger than the charging energy, , or in the quantum phase regime where . In the
strong Josephson coupling regime () we observe a
sawtooth-like supercurrent as a function of the phase difference over the
chain. The period of the supercurrent oscillations changes abruptly from one
flux quantum to half the flux quantum as the rhombi are
tuned in the vicinity of full frustration. The main observed features can be
understood from the complex energy ground state of the chain. For
we do observe a dramatic suppression and rounding of the
switching current dependence which we found to be consistent with the model
developed by Matveev et al.(Phys. Rev. Lett. {\bf 89}, 096802(2002)) for long
Josephson junctions chains.Comment: to appear in Phys. Rev.
New -Matrices for Lie Bialgebra Structures over Polynomials
For a finite dimensional simple complex Lie algebra , Lie
bialgebra structures on and were
classified by Montaner, Stolin and Zelmanov. In our paper, we provide an
explicit algorithm to produce -matrices which correspond to Lie bialgebra
structures over polynomials
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