Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 344 / 4 / b

Table of contents
- Solution b

Solution

The Fluctuation-dissipation theorem for mobility

M

requires

\overset{x}{˙} = - M V^{'} (x) + 2 M k_{B} T Λ_{x} .

Comparison with the stated noise amplitude gives

C^{2} = 2 k_{B} T .

This choice makes the stationary Fokker-Planck equation have the Boltzmann distribution proportional to

e^{- V / (k_{B} T)}

.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version