Journal article · Preprint article
Harmonic oscillator in heat bath: Exact simulation of time-lapse-recorded data and exact analytical benchmark statistics
Princeton University1
Stochastic Systems and Signals Group, Theory Section, Department of Micro- and Nanotechnology, Technical University of Denmark2
Theory Section, Department of Micro- and Nanotechnology, Technical University of Denmark3
Department of Micro- and Nanotechnology, Technical University of Denmark4
The stochastic dynamics of the damped harmonic oscillator in a heat bath is simulated with an algorithm that is exact for time steps of arbitrary size. Exact analytical results are given for correlation functions and power spectra in the form they acquire when computed from experimental time-lapse recordings.
Three applications are discussed: (i) The effects of finite sampling rate and time, described exactly here, are similar for other stochastic dynamical systems-e.g., motile microorganisms and their time-lapse-recorded trajectories. (ii) The same statistics is satisfied by any experimental system to the extent that it is interpreted as a damped harmonic oscillator at finite temperature-such as an AFM cantilever. (iii) Three other models of fundamental interest are limiting cases of the damped harmonic oscillator at finite temperature; it consequently bridges their differences and describes the effects of finite sampling rate and sampling time for these models as well.
Language: | English |
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Year: | 2011 |
Pages: | 041103 |
ISSN: | 15502376 , 15393755 , 24700053 and 24700045 |
Types: | Journal article and Preprint article |
DOI: | 10.1103/PhysRevE.83.041103 |
ORCIDs: | Flyvbjerg, Henrik |