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Statistics of Conductance and Shot-Noise Power for Chaotic Cavities

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Sommers H., Wieczorek W., Savin D.

Acta Physica Polonica A

2007

vol. 112

issue 4

691-697

We 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 parameterβ = 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.

New lithium electrolytes for Li-ion batteries

76%

Armand M., Bruce P. G., Scrosati B., Wieczorek W., Niedzicki L., Marcinek M.

Biuletyn Polskiego Stowarzyszenia Wodoru i Ogniw Paliwowych

2011

issue 6

44-49

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1 Acta Physica Polonica A

1 Biuletyn Polskiego Stowarzyszenia Wodoru i Ogniw Paliwowych

1 2011

1 2007

2 Wieczorek W.

1 Armand M.

1 Bruce P. G.

1 Marcinek M.

1 Niedzicki L.

1 Savin D.

1 Scrosati B.

1 Sommers H.

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Statistics of Conductance and Shot-Noise Power for Chaotic Cavities

New lithium electrolytes for Li-ion batteries