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Noise in the current through a membrane

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  • van Kampen, N.G.

Abstract

The electric current through a membrane has been modelled as a transport process of single charged particles through a pore. In this way the average current and the spectral density of the current fluctuations were computed by Barkai et al. in terms of the behavior of the separate particles. I here present another calculation, which is very different from theirs, and to my mind simpler and more direct. For the special example of a Markovian behavior an alternative method is available, which is used here as a check on the general result.

Suggested Citation

  • van Kampen, N.G., 1997. "Noise in the current through a membrane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 414-425.
    • Handle: RePEc:eee:phsmap:v:244:y:1997:i:1:p:414-425
    DOI: 10.1016/S0378-4371(97)00219-7
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    References listed on IDEAS

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    1. Liptser, R. Sh. & Steinberg, Y. & Bobrovsky, B. Z. & Schuss, Z., 1996. "Fixed lag smoothing of scalar diffusions. Part I. The filtering-smoothing equation," Stochastic Processes and their Applications, Elsevier, vol. 64(2), pages 237-255, November.
    2. van Kampen, N.G., 1979. "Composite stochastic processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(3), pages 435-453.
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