Statistics of transmitted power in multichannel dissipative ergodic structures

Details Statistics of transmitted power in multichannel dissipative ergodic structures Statistics of transmitted power in multichannel dissipative ergodic structures

2002-10-14

arxiv.org/abs/cond-mat/0210290v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 6 figures

Scientific paper

10.1103/PhysRevE.68.016204

We use the Random Matrix Theory (RMT) to study the probability distribution function and moments of the wave power transmitted inside systems with ergodic wave motion. The results describe either open multichannel systems or their closed counterparts with local-in-space internal dissipation. We concentrate on the regime of broken time-reversal invariance and employ two different analytical approaches: the exact supersymmetry method and a simpler technique that uses RMT eigenstatistics for closed non-dissipative systems as an input. The results of the supersymmetric method were confirmed by numerical simulation. The simpler method is found to be adequate for closed systems with uniform dissipation, or in the limit of a large number of weak local dampers.

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