16 Flashcards
(8 cards)
Langevin eq
where γ = α/m is known as the friction coefficient, and ξ(t) = f(t)/m is the fluctuating force per unit mass.

Solution to Langevin eq.
remember when evaluating mean square displacement, and ending up with integrals over t1 and t2, think about both the cases t2>t1 and t2<t1>
</t1>

derive ito’s lemma

Ito’s lemma

Fokker-Planck eq from Stochastic dynamics eq

Stochastic dynamics eq from Fokker-Planck eq

Comment on the continuity and differentiability of a Wiener process W(t).

to convert a Stratonovich SDE to an Itô SDE
