The Ito-Stratonovich dilemma has been solved: again 😅, but this time together with the Smoluchowski–Fokker-Planck dilemma for inhomogeneous diffusion—most definitely 🧐!
Phys. Rev. E 106, 2022.

Statistical physics of inhomogeneous transport: Unification of diffusion laws and inference from first-passage statistics

• @ribelousov
• Ali Hassanali
• @edgarroldankb

Physical matter often diffuses with different speeds across various regions of a complex system. How do the thermodynamic laws and statistical physics describe such space-dependent transport processes? A key to the theory has been found in the first-passage problems, which unveil the space-dependent diffusivity of water near soft-matter phase boundaries.