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diffusion equation derivation

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I don't get how they derive (2.18). I get how they derive (2.12) but I don't get what they can do different in (2.8)-(2.12) in order to end up with (2.18)? That is I don't get how they get the term

 

 

 

 

[math]- \gamma F \frac{dp}{dx} [/math]

 

The text is taken from:

 

http://pages.physics.cornell.edu/~sethna/StatMech/EntropyOrderParametersComplexity.pdf

Edited by Tor Fredrik

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