Spatial field correlation, the building block of mesoscopic fluctuations

Details Spatial field correlation, the building block of mesoscopic fluctuations Spatial field correlation, the building block of mesoscopic fluctuations

2001-12-16

arxiv.org/abs/cond-mat/0112296v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Submitted to PRL

Scientific paper

10.1103/PhysRevLett.88.123901

The absence of self averaging in mesoscopic systems is a consequence of long-range intensity correlation. Microwave measurements suggest and diagrammatic calculations confirm that the correlation function of the normalized intensity with displacement of the source and detector, $\Delta R$ and $\Delta r$, respectively, can be expressed as the sum of three terms, with distinctive spatial dependences. Each term involves only the sum or the product of the square of the field correlation function, $F \equiv F_{E}^2$. The leading-order term is the product, the next term is proportional to the sum. The third term is proportional to $[F(\Delta R)F(\Delta r) + [F(\Delta R)+F(\Delta r)] + 1]$.

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