Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
Carlos A. Plata,
Antonio Prados,
Emmanuel Trizac
et al.
Abstract:Using a reverse-engineering approach on the time-distorted solution in a reference potential, we work out the external driving potential to be applied to a Brownian system in order to slow or accelerate the dynamics, or even to invert the arrow of time. By welding a direct and time-reversed evolution towards a well chosen common intermediate state, we derive analytically a smooth protocol to connect two arbitrary states in an arbitrarily short amount of time. Not only does the reverse-engineering approach prop… Show more
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