625 research outputs found
Lasing Threshold and Mode Competition in Chaotic Cavities
The lasing threshold is studied of a multi-mode chaotic cavity (linear size D
>> wavelength \lambda) coupled to the outside through a small hole (linear size
d << \lambda). For sufficiently weak absorption by the boundaries, the
statistical distribution of the threshold is wide, its mean value being much
less than the pumping rate needed to compensate the average loss. The average
number N_{nc} >> 1 of non-competing excited modes is proportional to the square
root of the pumping rate. We use the classical model of spatial hole burning to
account for mode competition and find a reduction in the average number of
excited modes to N =3^{1/3} N_{nc}^{2/3}.Comment: 6 pages, RevTeX, 3 figures. Discussion of effects of non-zero
resistivity in the boundaries is adde
Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
The scattering-matrix product SS+ of a weakly absorbing medium is related by
a unitary transformation to the time-delay matrix without absorption. It
follows from this relationship that the eigenvalues of SS+ for a weakly
absorbing chaotic cavity are distributed according to a generalized Laguerre
ensemble.Comment: 4 pages, 1 figure, to appear in Physica E (special issue on Dynamics
of Complex Systems
Conductance distribution in disordered quantum wires: Crossover between the metallic and insulating regimes
We calculate the distribution of the conductance P(g) for a
quasi-one-dimensional system in the metal to insulator crossover regime, based
on a recent analytical method valid for all strengths of disorder. We show the
evolution of P(g) as a function of the disorder parameter from a insulator to a
metal. Our results agree with numerical studies reported on this problem, and
with analytical results for the average and variance of g.Comment: 8 pages, 5 figures. Final version (minor changes
Guiding-center-drift resonance in a periodically modulated two-dimensional electron gas
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Universal limit of critical-current fluctations in mesoscopic Josephson junctions
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"The effective viscosity of a concentrated suspension of spheres; its relation to diffusion"
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Theory of Coulomb-blockade oscillations in the conductance of a quantum dot
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