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Generalized energy equipartition in harmonic oscillators driven by active baths

We study experimentally and numerically the dynamics of colloidal beads confined by a harmonic potential in a bath of swimming E. coli bacteria. The resulting dynamics is well approximated by a Langevin equation for an overdamped oscillator driven by the combination of a white thermal noise and an e...

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Bibliographic Details
Published in:Physical review letters 2014-12, Vol.113 (23), p.238303-238303, Article 238303
Main Authors: Maggi, Claudio, Paoluzzi, Matteo, Pellicciotta, Nicola, Lepore, Alessia, Angelani, Luca, Di Leonardo, Roberto
Format: Article
Language:English
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Summary:We study experimentally and numerically the dynamics of colloidal beads confined by a harmonic potential in a bath of swimming E. coli bacteria. The resulting dynamics is well approximated by a Langevin equation for an overdamped oscillator driven by the combination of a white thermal noise and an exponentially correlated active noise. This scenario leads to a simple generalization of the equipartition theorem resulting in the coexistence of two different effective temperatures that govern dynamics along the flat and the curved directions in the potential landscape.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.113.238303