| Autor: |
Fyodorov YV; King's College London, Department of Mathematics, London WC2R 2LS, United Kingdom., Safonova E; Moscow Institute of Physics and Technology, Dolgoprudny, Russia and L. D. Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia. |
| Jazyk: |
angličtina |
| Zdroj: |
Physical review. E [Phys Rev E] 2023 Oct; Vol. 108 (4-1), pp. 044206. |
| DOI: |
10.1103/PhysRevE.108.044206 |
| Abstrakt: |
Using the supersymmetric method of random matrix theory within the Heidelberg approach framework we provide statistical description of stationary intensity sampled in locations inside an open wave-chaotic cavity, assuming that the time-reversal invariance inside the cavity is fully broken. In particular, we show that when incoming waves are fed via a finite number M of open channels the probability density P(I) for the single-point intensity I decays as a power law for large intensities: P(I)∼I^{-(M+2)}, provided there is no internal losses. This behavior is in marked difference with the Rayleigh law P(I)∼exp(-I/I[over ¯]), which turns out to be valid only in the limit M→∞. We also find the joint probability density of intensities I_{1},...,I_{L} in L>1 observation points, and then we extract the corresponding statistics for the maximal intensity in the observation pattern. For L→∞ the resulting limiting extreme value statistics (EVS) turns out to be different from the classical EVS distributions. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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