Stochastic pumping of particles with zero-range interactions
We consider a model of a stochastic pump in which many particles jump between sites along a ring. The particles interact with each other via zero-range interactions. We argue that for slow driving the dynamics can be approximated by a nonlinear diffusion equation. This nonlinear equation is then use...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/5/055015 |
| _version_ | 1797751210392944640 |
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| author | Shahaf Asban Saar Rahav |
| author_facet | Shahaf Asban Saar Rahav |
| author_sort | Shahaf Asban |
| collection | DOAJ |
| description | We consider a model of a stochastic pump in which many particles jump between sites along a ring. The particles interact with each other via zero-range interactions. We argue that for slow driving the dynamics can be approximated by a nonlinear diffusion equation. This nonlinear equation is then used to derive a current decomposition formula, expressing the current as a sum of two contributions. The first is from the momentary steady state while the second arises due to the variation of the density with time, and is identified as the pumped current. The dynamics is found to satisfy the no-pumping theorem for cyclic processes, in agreement with recent results in discrete systems. |
| first_indexed | 2024-03-12T16:44:12Z |
| format | Article |
| id | doaj.art-18bb3c5175204134afabb8adf8703804 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:44:12Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-18bb3c5175204134afabb8adf87038042023-08-08T14:17:35ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117505501510.1088/1367-2630/17/5/055015Stochastic pumping of particles with zero-range interactionsShahaf Asban0Saar Rahav1Faculty of Physics , Technion—Israel Institute of Technology , Haifa 32000, IsraelSchulich Faculty of Chemistry , Technion—Israel Institute of Technology , Haifa 32000, IsraelWe consider a model of a stochastic pump in which many particles jump between sites along a ring. The particles interact with each other via zero-range interactions. We argue that for slow driving the dynamics can be approximated by a nonlinear diffusion equation. This nonlinear equation is then used to derive a current decomposition formula, expressing the current as a sum of two contributions. The first is from the momentary steady state while the second arises due to the variation of the density with time, and is identified as the pumped current. The dynamics is found to satisfy the no-pumping theorem for cyclic processes, in agreement with recent results in discrete systems.https://doi.org/10.1088/1367-2630/17/5/055015stochastic dynamicsartificial molecular machinesstochastic pumps |
| spellingShingle | Shahaf Asban Saar Rahav Stochastic pumping of particles with zero-range interactions New Journal of Physics stochastic dynamics artificial molecular machines stochastic pumps |
| title | Stochastic pumping of particles with zero-range interactions |
| title_full | Stochastic pumping of particles with zero-range interactions |
| title_fullStr | Stochastic pumping of particles with zero-range interactions |
| title_full_unstemmed | Stochastic pumping of particles with zero-range interactions |
| title_short | Stochastic pumping of particles with zero-range interactions |
| title_sort | stochastic pumping of particles with zero range interactions |
| topic | stochastic dynamics artificial molecular machines stochastic pumps |
| url | https://doi.org/10.1088/1367-2630/17/5/055015 |
| work_keys_str_mv | AT shahafasban stochasticpumpingofparticleswithzerorangeinteractions AT saarrahav stochasticpumpingofparticleswithzerorangeinteractions |