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Engineered Swift Equilibration of brownian particles: consequences of hydrodynamic coupling
by Salambô Dago, Benjamin Besga, Raphaël Mothe, David Guéry-Odelin, Emmanuel Trizac, Artyom Petrosyan, Ludovic Bellon, Sergio Ciliberto
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Ludovic Bellon · DAGO Salambô · Emmanuel Trizac |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2005.04939v2 (pdf) |
| Date accepted: | 2020-10-06 |
| Date submitted: | 2020-09-23 19:27 |
| Submitted by: | Bellon, Ludovic |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Experimental |
Abstract
We present a detailed theoretical and experimental analysis of Engineered Swift Equilibration (ESE) protocols applied to two hydrodynamically coupled colloids in optical traps. The second particle disturbs slightly (10% at most) the response to an ESE compression applied to a single particle. This effect is quantitatively explained by a model of hydrodynamic coupling. Then we design a coupled ESE protocol for the two particles, allowing the perfect control of one target particle while the second is enslaved to the first. The calibration errors and the limitations of the model are finally discussed in detail.
Author comments upon resubmission
List of changes
- We proofread the text of the article to improve the English, with an increased attention to the specific points mentioned by referee 2.
- All of the figures were reworked with the goal of improving their readability. To this aim, a new notation $\sigma_n$ has been introduced in the main text, figures and their captions to better explain the main quantity we are plotting. This normalized variance of the first particle $\sigma_n=(\sigma(t)-\sigma_{f})/(\sigma_{i}-\sigma_{f})$ describes the evolution of the variance of particle under control, normalised so that $\sigma_n=0$ at initial time, and $\sigma_n=1$ at the end of the protocol.
- The left panel of figure 2 has been changed according to the suggestion of referee 2, to use the same unit for the time variable on the two panels of this figure.
Published as SciPost Phys. 9, 064 (2020)