Control of Active Brownian Particles: An exact solution
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929201560420352 |
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| author | Baldovin, Marco Guéry-Odelin, David Trizac, Emmanuel |
| author_facet | Baldovin, Marco Guéry-Odelin, David Trizac, Emmanuel |
| contents | Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely out-of-equilibrium system, the two dimensional Active Brownian Particles model in a harmonic potential, a paradigm for the study of self-propelled bacteria. We search for protocols for the driving parameters (stiffness of the potential and activity of the particles) bringing the system from an initial passive-like stationary state to a final active-like one, within a chosen time interval. The exact analytical results found for this prototypical system of self-propelled particles brings control techniques to a wider class of out-of-equilibrium systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_06651 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Control of Active Brownian Particles: An exact solution Baldovin, Marco Guéry-Odelin, David Trizac, Emmanuel Statistical Mechanics Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases investigated so far, we aim here at controlling a genuinely out-of-equilibrium system, the two dimensional Active Brownian Particles model in a harmonic potential, a paradigm for the study of self-propelled bacteria. We search for protocols for the driving parameters (stiffness of the potential and activity of the particles) bringing the system from an initial passive-like stationary state to a final active-like one, within a chosen time interval. The exact analytical results found for this prototypical system of self-propelled particles brings control techniques to a wider class of out-of-equilibrium systems. |
| title | Control of Active Brownian Particles: An exact solution |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2212.06651 |