3kBT Cvy(t) = (v(t)v(0)) = e-ty/m m Where y is the friction coefficient, m is the mass and T is the temperature. Derive the expression for diffusion coefficient.

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Normalized velocity auto-correlation function for a system is given as
Transcribed Image Text:Normalized velocity auto-correlation function for a system is given as
3k T
Cyp (t) = (v(t)v(0)) =
e-ty/m
%3D
Where y is the friction coefficient, m is the mass and T is the temperature. Derive
the expression for diffusion coefficient.
Transcribed Image Text:3k T Cyp (t) = (v(t)v(0)) = e-ty/m %3D Where y is the friction coefficient, m is the mass and T is the temperature. Derive the expression for diffusion coefficient.
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