(adsbygoogle = window.adsbygoogle || []).push({}); Brownian motion....

Hello ..since it has several application to physics i would like to hear about Brownian motion..in fact i think you can approach it by means of a functional integral of the form:

[tex] \int D[x] e^{-a \int_{a}^{b} L(x,\dot x, t)} [/tex] and that from this you derive the "difussion" process... my question is about the trajectories (it'll sound to you familiar to QM if known)

- What's the PDE equation satisfied by the functional integral above?..

- Can the "Brownian motion" by formulated only in probability terms or are there "classical trajectories" that can be obtained?..i heard (wikipedia) about the equation for Brwonian motion in the form:

[tex] m \ddot x = -\nabla V + \eta (t) [/tex] where the last extra term was some kind of "random" force applied to the particles.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Brownian motion

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**