Smooth or shock: Universality in closed inhomogeneous driven single file motions
We study the nonequilibrium steady states in a unidirectional or driven single file motion (DSFM) of a collection of particles with hard-core repulsion in a closed system. For driven propulsion that is spatially smoothly varying with a few discontinuities, we show that the steady states are broadly...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.013025 |
| _version_ | 1797211621772230656 |
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| author | Tirthankar Banerjee Abhik Basu |
| author_facet | Tirthankar Banerjee Abhik Basu |
| author_sort | Tirthankar Banerjee |
| collection | DOAJ |
| description | We study the nonequilibrium steady states in a unidirectional or driven single file motion (DSFM) of a collection of particles with hard-core repulsion in a closed system. For driven propulsion that is spatially smoothly varying with a few discontinuities, we show that the steady states are broadly classified into two classes, independently of any system detail: (i) when the steady state current depends explicitly on the conserved number density n, and (ii) when it is independent of n. This manifests itself in the universal topology of the phase diagrams and fundamental diagrams (i.e., the current versus density curves) for DSFM, which are determined solely by the interplay between two control parameters n and the minimum propulsion speed along the chain. Our theory can be tested in laboratory experiments on driven particles in a closed geometry. |
| first_indexed | 2024-04-24T10:29:24Z |
| format | Article |
| id | doaj.art-aa0cfe7d3834479e9e53cb84f20cbbae |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:29:24Z |
| publishDate | 2020-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-aa0cfe7d3834479e9e53cb84f20cbbae2024-04-12T16:48:28ZengAmerican Physical SocietyPhysical Review Research2643-15642020-01-012101302510.1103/PhysRevResearch.2.013025Smooth or shock: Universality in closed inhomogeneous driven single file motionsTirthankar BanerjeeAbhik BasuWe study the nonequilibrium steady states in a unidirectional or driven single file motion (DSFM) of a collection of particles with hard-core repulsion in a closed system. For driven propulsion that is spatially smoothly varying with a few discontinuities, we show that the steady states are broadly classified into two classes, independently of any system detail: (i) when the steady state current depends explicitly on the conserved number density n, and (ii) when it is independent of n. This manifests itself in the universal topology of the phase diagrams and fundamental diagrams (i.e., the current versus density curves) for DSFM, which are determined solely by the interplay between two control parameters n and the minimum propulsion speed along the chain. Our theory can be tested in laboratory experiments on driven particles in a closed geometry.http://doi.org/10.1103/PhysRevResearch.2.013025 |
| spellingShingle | Tirthankar Banerjee Abhik Basu Smooth or shock: Universality in closed inhomogeneous driven single file motions Physical Review Research |
| title | Smooth or shock: Universality in closed inhomogeneous driven single file motions |
| title_full | Smooth or shock: Universality in closed inhomogeneous driven single file motions |
| title_fullStr | Smooth or shock: Universality in closed inhomogeneous driven single file motions |
| title_full_unstemmed | Smooth or shock: Universality in closed inhomogeneous driven single file motions |
| title_short | Smooth or shock: Universality in closed inhomogeneous driven single file motions |
| title_sort | smooth or shock universality in closed inhomogeneous driven single file motions |
| url | http://doi.org/10.1103/PhysRevResearch.2.013025 |
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