Several applications of Engineered Swift Equilibration

Sergio Ciliberto (CNRS, Paris)

Sep 28. 2022, 09:00 — 09:45

Engineered Swift Equilibration (ESE) is a method to switch a system from one  state  to another much faster than its natural equilibration time. The initial and final states can be either in  equilibrium or out of equilibrium.For example, one can perform the compression of a single brownian particle trapped in an harmonic potential by increasing its stiffness k. A step in k will equilibrate in the natural relaxation time of the system. Using ESE protocol for the time evolution of k, the same final state can be reached several order of magnitude faster. We will discuss the parameters which can be tuned in order to reach the desired dynamics and the stability of the protocol to external perturbation.    
 We will then discuss the application of ESE to the problem of first passage time.  The resetting to the origin is one of  the efficient theoretical strategies that allow a Brownian particle to  reach a target in an optimal time. However we will show how in realistic situation the original assumptions used in these theoretical strategies must be modified in order to optimize the searching time. ESE is actually very useful to speed up the resetting.
Finally we will show how the ESE  can speed up  the force measurements in atomic force microscopies

Further Information
Venue:
ESI Schrödinger and Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems (Thematic Programme)
Organizer(s):
Christoph Dellago (U of Vienna)
Satya Majumdar (U Paris Sud, Orsay)
David Mukamel (Weizmann Institute, Rehovot)
Harald Posch (U of Vienna)
Gregory Schehr (U Paris Sud, Orsay)