Accelerating the heat diffusion: fast thermal relaxation of a microcantilever

Abstract

In most systems, thermal diffusion is intrinsically slow with respect to mechanical relaxation. We devise here a generic approach to accelerate the relaxation of the temperature field of a 1D object, in order to beat the mechanical time scales. This approach is applied to a micro-meter sized silicon cantilever, locally heated by a laser beam. A tailored driving protocol for the laser power is derived to quickly reach the thermal stationary state. The model is implemented experimentally yielding a significant acceleration of the thermal relaxation, up to a factor 30. An excellent agreement with the theoretical predictions is reported. This strategy allows a thermal steady state to be reached significantly faster than the natural mechanical relaxation.

References in corpus (7)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Adiabatic processes realized with a trapped Brownian particle
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
• Shortcuts to adiabaticity using flow fields
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
• Resonance frequency shift of strongly heated micro-cantilevers