How does the Lagrangian apply to Brownian motion?

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Steve Zissou
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Hello, how do we apply the idea of the Lagrangian to a Brownian motion? I guess what I mean is what is the Lagrangian functional form for a Brownian motion?
Thanks
 
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Perhaps that's the wrong question. How about this: can anyone point me toward a book in which the Lagrangian for Brownian motion is explained, such that an idiot can understand it?
Thanks
 
Not sure if this is exactly what your looking for - but an interesting foundational stat mech discussion re "crucial distinction between two kingdoms of Hamiltonian/Lagrangian mechanics" with lessons drawn from Brownian motion: http://arxiv.org/abs/1101.0571
 
malreux said:
Not sure if this is exactly what your looking for - but an interesting foundational stat mech discussion re "crucial distinction between two kingdoms of Hamiltonian/Lagrangian mechanics" with lessons drawn from Brownian motion: http://arxiv.org/abs/1101.0571

Thanks!