Lorentz forces induce inhomogeneity and flux in active systems
We consider the dynamics of a charged active Brownian particle in three dimensions subjected to an external magnetic field. We show that, in the presence of a field gradient, a macroscopic flux emerges from a flux-free system and the density distribution becomes inhomogeneous. The flux is induced by...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013320 |
| _version_ | 1797211573590163456 |
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| author | H. D. Vuijk J. U. Sommer H. Merlitz J. M. Brader A. Sharma |
| author_facet | H. D. Vuijk J. U. Sommer H. Merlitz J. M. Brader A. Sharma |
| author_sort | H. D. Vuijk |
| collection | DOAJ |
| description | We consider the dynamics of a charged active Brownian particle in three dimensions subjected to an external magnetic field. We show that, in the presence of a field gradient, a macroscopic flux emerges from a flux-free system and the density distribution becomes inhomogeneous. The flux is induced by the gradient of the magnetic field only and does not require additional symmetry breaking such as density or potential gradients. This stands in marked contrast to similar phenomena in condensed matter such as the classical Hall effect. We further demonstrate that passive tracer particles can be used to measure the essential effects caused by the Lorentz force on the active particle bath, and we discuss under which conditions this diffusive Hall-like effect might be observed experimentally. |
| first_indexed | 2024-04-24T10:28:38Z |
| format | Article |
| id | doaj.art-ea6ca4cc18e04487a96b92df77734fb2 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:28:38Z |
| publishDate | 2020-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ea6ca4cc18e04487a96b92df77734fb22024-04-12T16:51:31ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101332010.1103/PhysRevResearch.2.013320Lorentz forces induce inhomogeneity and flux in active systemsH. D. VuijkJ. U. SommerH. MerlitzJ. M. BraderA. SharmaWe consider the dynamics of a charged active Brownian particle in three dimensions subjected to an external magnetic field. We show that, in the presence of a field gradient, a macroscopic flux emerges from a flux-free system and the density distribution becomes inhomogeneous. The flux is induced by the gradient of the magnetic field only and does not require additional symmetry breaking such as density or potential gradients. This stands in marked contrast to similar phenomena in condensed matter such as the classical Hall effect. We further demonstrate that passive tracer particles can be used to measure the essential effects caused by the Lorentz force on the active particle bath, and we discuss under which conditions this diffusive Hall-like effect might be observed experimentally.http://doi.org/10.1103/PhysRevResearch.2.013320 |
| spellingShingle | H. D. Vuijk J. U. Sommer H. Merlitz J. M. Brader A. Sharma Lorentz forces induce inhomogeneity and flux in active systems Physical Review Research |
| title | Lorentz forces induce inhomogeneity and flux in active systems |
| title_full | Lorentz forces induce inhomogeneity and flux in active systems |
| title_fullStr | Lorentz forces induce inhomogeneity and flux in active systems |
| title_full_unstemmed | Lorentz forces induce inhomogeneity and flux in active systems |
| title_short | Lorentz forces induce inhomogeneity and flux in active systems |
| title_sort | lorentz forces induce inhomogeneity and flux in active systems |
| url | http://doi.org/10.1103/PhysRevResearch.2.013320 |
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