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19 March 2024
 
  » arxiv » 0710.5370

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Statistics of conductance and shot-noise power for chaotic cavitie
H.-J. Sommers ; W. Wieczorek ; D.V. Savin ;
Date 29 Oct 2007
AbstractWe report on an analytical study of the statistics of conductance, $g$, and shot-noise power, $p$, for a chaotic cavity with arbitrary numbers $N_{1,2}$ of channels in two leads and symmetry parameter $eta = 1,2,4$. With the theory of Selberg’s integral the first four cumulants of $g$ and first two cumulants of $p$ are calculated explicitly. We give analytical expressions for the conductance and shot-noise distributions and determine their exact asymptotics near the edges up to linear order in distances from the edges. For $0<g<1$ a power law for the conductance distribution is exact. All results are also consistent with numerical simulations.
Source arXiv, 0710.5370
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