5,367 research outputs found
Relaxation in time elapsed neuron network models in the weak connectivity regime
In order to describe the firing activity of a homogenous assembly of neurons,
we consider time elapsed models, which give mathematical descriptions of the
probability density of neurons structured by the distribution of times elapsed
since the last discharge. Under general assumption on the firing rate and the
delay distribution, we prove the uniqueness of the steady state and its
nonlinear exponential stability in the weak connectivity regime. The result
generalizes some similar results obtained in [10] in the case without delay.
Our approach uses the spectral analysis theory for semigroups in Banach spaces
developed recently by the first author and collaborators
Intense terahertz laser fields on a quantum dot with Rashba spin-orbit coupling
We investigate the effects of the intense terahertz laser field and the
spin-orbit coupling on single electron spin in a quantum dot. The laser field
and the spin-orbit coupling can strongly affect the electron density of states
and can excite a magnetic moment.
The direction of the magnetic moment depends on the symmetries of the system,
and its amplitude can be tuned by the strength and frequency of the laser field
as well as the spin-orbit coupling.Comment: 5 pages, 4 figures, to be published in J. Appl. Phy
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