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

  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},
  • Geng LiZ. C. Tu
  • Published 6 November 2015
  • Physics
  • Science China Physics, Mechanics & Astronomy
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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