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Spatial-Field Correlation: The Building Block of Mesoscopic Fluctuations

2001/12/16 by P. Sebbah, Patrick Sebbah, B. Hu +7
Computer Science · Engineering · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum optics and atomic interactions #Terahertz technology and applications #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.88.123901

Submitted to PRL

arxiv created 2001/12/16 · openalex publication_date 2002/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The absence of self-averaging in mesoscopic systems is a consequence of long-range intensity correlations. Microwave measurements suggest, and diagrammatic calculations confirm, that the correlation function of the normalized intensity with displacement of the source and detector, \ensuremathΔR and \ensuremathΔr, 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\ensuremath≡FE2. The leading-order term is the product, F(\ensuremathΔR)F(\ensuremathΔr); the next term is proportional to the sum, F(\ensuremathΔR)+F(\ensuremathΔr); the third term is proportional to F(\ensuremathΔR)F(\ensuremathΔr)+[F(\ensuremathΔR)+F(\ensuremathΔr)]+1.

Citations