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The diffusion noise source and the steady state fluctuation-dissipation theorem for a Boltzmann gas

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  • Van Vliet, Carolyn M.

Abstract

The current noise source of a system in interaction with a reservoir is the diffusion noise source. This source is first derived heuristically and secondly by solving the stochastic Boltzmann equation. For a classical gas this can be done far out of equilibrium; the source then yields in a close to exact way a steady-state fluctuation-dissipation theorem. Near equilibrium an exact result is also obtainable for a quantum gas; the result then yields Nyquist's theorem or the well-known equilibrium fluctuation-dissipation theorem. The occurrence of various types of diffusion coefficients is also further discussed.

Suggested Citation

  • Van Vliet, Carolyn M., 1985. "The diffusion noise source and the steady state fluctuation-dissipation theorem for a Boltzmann gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(1), pages 35-52.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:1:p:35-52
    DOI: 10.1016/0378-4371(85)90055-X
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    1. Kerkvliet, Benedict J., 1978. "Popular Uprisings in the Philippines, 1840–1940. By David R. Sturtevant. (Ithaca, N.Y.: Cornell University Press, 1976. Pp. 317. $17.50.)," American Political Science Review, Cambridge University Press, vol. 72(2), pages 771-772, June.
    2. Susumu Watanabe, 1954. "Business Accounting and Tax Accounting," Kobe Economic & Business Review, Research Institute for Economics & Business Administration, Kobe University, vol. 2, pages 109-117.
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