lec31_11292006 - 10.34, Numerical Methods Applied to...

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10.34, Numerical Methods Applied to Chemical Engineering Professor William H. Green Lecture #31: Fluctuation – Dissipation Theorem. Fluctuation – Dissipation Theorem Nobel Prize: Einstein 1905 Drag ~ Brownian motion Æ Diffusion We say “flux” – But each particle is moving on its own. Only when we consider their movement over time can we consider there to be flux in a room. This applies in lots of other physical situations coupling between work and heat T k D t T k Dt x F v v F T k D B B ext al ter drag B = = >= < = > < = = ζ δ 2 2 ) ( 2 min v = velocity, ζ = drag coefficient Johnson Noise } { ) ( 2 ) ( ) ( 2 ) ( ) ( 2 ) ( 2 2 2 2 IR V R T k I TR k R I TR k V B B B = Δ >= < Δ = > < Δ >= < π ω V = voltage, R = resistance, Δω = bandwidth of voltmeter Exxon Example Find best lubricant shear on computer not a good way to To find viscosity: 1/shear rate < τ simulator calculate viscosity b e c a u s e τ is small so s h e a
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.

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lec31_11292006 - 10.34, Numerical Methods Applied to...

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