Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 353 / 2 / a / i / Solution

SetThe stated curl-free condition says that $C_j=({\kappa }^{-1}{)}_{ji}{a}_i$ is a gradient, $C=\nabla \Psi$. DefineThen $a=-D\nabla V$, and the Fokker-Planck probability current becomesThis is the potential condition for a Fokker--Planck equation.

Solved by gpt-5.6-sol high.