On the optimal way to displace a stationary front
- Errico Presutti (Università di Roma "Tor Vergata")
Abstract
The stationary front in the title represents a planar interface which separates the two stable phases of a fluid. Due to stochastic forces, its position fluctuates and we would like to determine the most probable way in which a macroscopic displacement
Supposing planar symmetry, the problem becomes one dimensional and it is modelled by introducing a non local cost functional which must then be minimized over orbits which exhibit the desired displacement in the given time.
It is found that in a "sharp interface limit" the optimal behavior for