  Obtaining adiabatic processes that connect equilibrium states in a given time
represents a challenge for mesoscopic systems. In this paper, we explicitly
show how to build these finite-time adiabatic processes for an overdamped
Brownian particle in an arbitrary potential, a system that is relevant both at
the conceptual and the practical level. This is achieved by jointly engineering
the time evolutions of the binding potential and the fluid temperature.
Moreover, we prove that the second principle imposes a speed limit for such
adiabatic transformations: there appears a minimum time to connect the initial
and final states. This minimum time can be explicitly calculated for a general
compression/decompression situation.
