Mass transport in Fokker–Planck equations with tilted periodic potential
2019 ◽
Vol 31
(4)
◽
pp. 709-736
Keyword(s):
We consider Fokker–Planck equations with tilted periodic potential in the subcritical regime and characterise the spatio-temporal dynamics of the partial masses in the limit of vanishing diffusion. Our convergence proof relies on suitably defined substitute masses and bounds the approximation error using the energy-dissipation relation of the underlying Wasserstein gradient structure. In the appendix, we also discuss the case of an asymmetric double-well potential and derive the corresponding limit dynamics in an elementary way.
Keyword(s):
Keyword(s):
2019 ◽
Vol 377
(2153)
◽
pp. 20180131
◽