- #1
JVanUW
- 24
- 0
Homework Statement
This isn't actually homework but I'm really interested in finding the solution.
So I have the langevin equation dy/dt = -dV/dy +η(t)
where V(y) = -by^3/3 + ζy
how can I turn this into a fokker-planck equation?
Homework Equations
x' = v(x) +η(t)
v(x)= -udV/dx
The Attempt at a Solution
Using the format of the langevin equation x' = v(x) +η(t), I get
x' = -u(bx^2+ζ) + η(t) (( v(x)= -udV/dx ))
Which I don't know how to solve in closed form.
Any ideas/suggestions?
Thanks!