# Retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential

@article{Li2015RetainabilityOC, title={Retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential}, author={Geng Li and Z. C. Tu}, journal={Science China Physics, Mechanics \& Astronomy}, year={2015}, volume={59}, pages={1-6} }

The retainability of canonical distributions for a Brownian particle controlled by a time-dependent harmonic potential is investigated in the overdamped and underdamped situations, respectively. Because of different time scales, the overdamped and underdamped Langevin equations (as well as the corresponding Fokker-Planck equations) lead to distinctive restrictions on protocols maintaining canonical distributions. Two special cases are analyzed in details: First, a Brownian particle is…

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