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Fluctuation-dissipation theorem in a surface

  1. Aug 17, 2012 #1
    Hi,

    my question regards the application of the fluctuation-dissipation theorem (Kubo - 1966 Rep. Prog. Phys. 29 255) to a collection of particles (molecules in liquid state) in a plane.
    Being Na, the number of particles contained in a macroscopic region of volume Va, one has:

    <(Na - <Na>)**2> = <Na>{1 + n ∫{g(R) -1}dR}

    , where, n is the average number density and g(R) is the radial distribution function.

    My question is, can I make a direct use of this relation to a plane? In this case, Na would be number of particles in a given area and so on.
    If so, can I make a transformation such as instead of using the fluctuation of number of particles in a certain area, I would use the fluctuation of the areas occupied by each molecule?

    Regards,

    Pedro L. Loureiro
     
  2. jcsd
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