Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality
In colloidal systems, Brownian motion emerges from the massive separation of time and length scales associated with characteristic dynamics of the solute and solvent constituents. This separation of scales produces several temporal regimes in the colloidal dynamics when combined with the effects of...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033246 |
| _version_ | 1797210904196022272 |
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| author | Alejandro Villada-Balbuena Antonio Ortiz-Ambriz Pavel Castro-Villarreal Pietro Tierno Ramón Castañeda-Priego José Miguel Méndez-Alcaraz |
| author_facet | Alejandro Villada-Balbuena Antonio Ortiz-Ambriz Pavel Castro-Villarreal Pietro Tierno Ramón Castañeda-Priego José Miguel Méndez-Alcaraz |
| author_sort | Alejandro Villada-Balbuena |
| collection | DOAJ |
| description | In colloidal systems, Brownian motion emerges from the massive separation of time and length scales associated with characteristic dynamics of the solute and solvent constituents. This separation of scales produces several temporal regimes in the colloidal dynamics when combined with the effects of the interaction between the particles, confinement conditions, and state variables, such as density and temperature. Some examples are the short- and long-time regimes in two- and three-dimensional open systems and the diffusive and subdiffusive regimes observed in the single-file (SF) dynamics along a straight line. In this paper, we address the way in which a confining geometry induces new time scales. We report on the dynamics of interacting colloidal particles moving along a circle by combining a heuristic theoretical analysis of the involved scales, Brownian dynamics computer simulations, and video-microscopy experiments with paramagnetic colloids confined to lithographic circular channels subjected to an external magnetic field. The systems display four temporal regimes in the following order: one-dimensional free diffusion, SF subdiffusion, free-cluster rotational diffusion, and the expected saturation due to the confinement. We also report analytical expressions for the mean-square angular displacement and crossover times obtained from scaling arguments, which accurately reproduce both experiments and simulations. Our generic approach can be used to predict the long-time dynamics of many other confined physical systems. |
| first_indexed | 2024-04-24T10:18:00Z |
| format | Article |
| id | doaj.art-0ea39f4e9cc343288254165b6925f9a8 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:00Z |
| publishDate | 2021-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-0ea39f4e9cc343288254165b6925f9a82024-04-12T17:13:59ZengAmerican Physical SocietyPhysical Review Research2643-15642021-09-013303324610.1103/PhysRevResearch.3.033246Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universalityAlejandro Villada-BalbuenaAntonio Ortiz-AmbrizPavel Castro-VillarrealPietro TiernoRamón Castañeda-PriegoJosé Miguel Méndez-AlcarazIn colloidal systems, Brownian motion emerges from the massive separation of time and length scales associated with characteristic dynamics of the solute and solvent constituents. This separation of scales produces several temporal regimes in the colloidal dynamics when combined with the effects of the interaction between the particles, confinement conditions, and state variables, such as density and temperature. Some examples are the short- and long-time regimes in two- and three-dimensional open systems and the diffusive and subdiffusive regimes observed in the single-file (SF) dynamics along a straight line. In this paper, we address the way in which a confining geometry induces new time scales. We report on the dynamics of interacting colloidal particles moving along a circle by combining a heuristic theoretical analysis of the involved scales, Brownian dynamics computer simulations, and video-microscopy experiments with paramagnetic colloids confined to lithographic circular channels subjected to an external magnetic field. The systems display four temporal regimes in the following order: one-dimensional free diffusion, SF subdiffusion, free-cluster rotational diffusion, and the expected saturation due to the confinement. We also report analytical expressions for the mean-square angular displacement and crossover times obtained from scaling arguments, which accurately reproduce both experiments and simulations. Our generic approach can be used to predict the long-time dynamics of many other confined physical systems.http://doi.org/10.1103/PhysRevResearch.3.033246 |
| spellingShingle | Alejandro Villada-Balbuena Antonio Ortiz-Ambriz Pavel Castro-Villarreal Pietro Tierno Ramón Castañeda-Priego José Miguel Méndez-Alcaraz Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality Physical Review Research |
| title | Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality |
| title_full | Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality |
| title_fullStr | Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality |
| title_full_unstemmed | Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality |
| title_short | Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality |
| title_sort | single file dynamics of colloids in circular channels time scales scaling laws and their universality |
| url | http://doi.org/10.1103/PhysRevResearch.3.033246 |
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