# Thermal brachistochrone for harmonically confined Brownian particles

@article{Patron2022ThermalBF, title={Thermal brachistochrone for harmonically confined Brownian particles}, author={Antonio Patr'on and Antonio Prados and Carlos A. Plata}, journal={The European Physical Journal Plus}, year={2022} }

The overdamped Brownian dynamics of a harmonic oscillator is a paradigmatic system in non-equilibrium statistical mechanics, which reliably models relevant stochastic systems such as colloidal particles submitted to optical confinement. In this work, optimal thermal protocols are tailored to minimise the connection time between equilibrium states of overdamped d-dimensional oscillators. Application of control theory reveals that these optimal protocols are of bang-bang type, that is, the…

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