Solving the Langevin Equation w/ Newton's Second Law

[ehrenfest]

[SOLVED] langevin equation

Homework Statement

http://en.wikipedia.org/wiki/Langevin_equation
Can someone explain to me how to reconcile the Langevin equation with Newton's Second Law? They are clearly different and I cannot think of a satisfactory reason why!

Homework Equations

The Attempt at a Solution

 

[jae05]

why are they clearly different? i don't seem to get you. it looks like there's ma on one side, and a sum of forces on the other side. looks perfectly like the 2nd law to me. is it the H(t) term you're worrying about?

 

[ehrenfest]

Now that I think about, I don't see the point of my question either.