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Random-walk model for equilibrium resistance fluctuations

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Abstract

The Voss-Clarke relation between the fluctuations of the band-limited Johnson noise power and the nonequilibrium steady-state current fluctuations is investigated for a continuous time random walk (CTRW). The equivalence between the CTRW and a multistate trapping model (MSTM), as shown by Kehr and Haus, is exploited to calculate the higher-order current correlation functions using the Markovian property of the MSTM description. The Voss-Clarke relation is found to be obeyed provided the trapping and release times are long compared to the microscopic correlation time of a carrier in the conduction state. The equilibrium resistance fluctuations are shown to arise physically from equilibrium fluctuations in the number of carriers in the conduction state. It is suggested that the results obtained here should hold for more general trapping models under the same physical conditions.

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Authors and Affiliations

  1. Laboratory of Atomic and Solid State Physics, Cornell University, 14853, Ithaca, New York

    C. J. Stanton

  2. School of Applied and Engineering Physics, Cornell University, 14853, Ithaca, New York

    Mark Nelkin

Authors
  1. C. J. Stanton
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  2. Mark Nelkin
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Additional information

Supported by the National Science Foundation through grant No. DMR-81-08328 and through the Cornell Materials Science Center.

Supported by a Fannie and John Hertz Foundation Fellowship and by the Semiconductor Research Corporation.

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Stanton, C.J., Nelkin, M. Random-walk model for equilibrium resistance fluctuations. J Stat Phys 37, 1–16 (1984). https://doi.org/10.1007/BF01012901

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  • DOI: https://doi.org/10.1007/BF01012901

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