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Energetics of diffusion in time-dependent parabolic potential. Škvára, Jan ; Chvosta, Petr (advisor) ; Netočný, Karel (referee) In this thesis we are going to study the dynamics and energetics of the dif- fusion of a Brownian particle in a time-dependent parabolic potential. Our central quantity is a random variable corresponding to the work done on the particle due to the time dependency of the potential. We present new exact analytical ex- pression for the probability density function for the work variable in a situation, where the potential is piecewise constant in the time variable. Furthermore, this result is used to develop a hierarchy of approximations which yield the density function for an arbitrary time-dependent parabolic potential. 1 Detailed record

Energetics of diffusion in time-dependent parabolic potential. Škvára, Jan ; Chvosta, Petr (advisor) ; Netočný, Karel (referee) In this thesis we are going to study the dynamics and energetics of the dif- fusion of a Brownian particle in a time-dependent parabolic potential. Our central quantity is a random variable corresponding to the work done on the particle due to the time dependency of the potential. We present new exact analytical ex- pression for the probability density function for the work variable in a situation, where the potential is piecewise constant in the time variable. Furthermore, this result is used to develop a hierarchy of approximations which yield the density function for an arbitrary time-dependent parabolic potential. 1 Detailed record

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