The hard membrane process and transport barriers of turbulent flows
Probability
2025-10-21 v1
Abstract
Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a mathematical model of heat dispersion in a turbulent fluid with a transport barrier, properly idealized; in a scaling limit of the turbulence model with separation of scales we get a heat equation with space-dependent diffusion coefficient, poorly diffusing near the barrier; then we investigate the scaling limit when the diffused barrier converges to a sharp separating surface and describe the limit by means of the stochastic process called Brownian motion with hard membrane.
Cite
@article{arxiv.2510.16456,
title = {The hard membrane process and transport barriers of turbulent flows},
author = {Olga Aryasova and Franco Flandoli and Andrey Pilipenko},
journal= {arXiv preprint arXiv:2510.16456},
year = {2025}
}