Analytical approach to sorting in periodic and random potentials
There has been a recent revolution in the ability to manipulate micrometer-sized objects on surfaces patterned by traps or obstacles of controllable configurations and shapes. One application of this technology is to separate particles driven across such a surface by an external force according to s...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/2493 |
| Acceso en línea: | https://hdl.handle.net/2117/2493 https://dx.doi.org/10.1103/PhysRevE.73.041102 |
| Access Level: | acceso abierto |
| Palabra clave: | Statistical Mechanics Condensed Matter Soft condensed matter Surfaces Diffusion Nonlinear systems Nonlinear dynamics Sorting Periodic potentials Random potentials Matèria condensada Física estadística Àrees temàtiques de la UPC::Física Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | There has been a recent revolution in the ability to manipulate micrometer-sized objects on surfaces patterned by traps or obstacles of controllable configurations and shapes. One application of this technology is to separate particles driven across such a surface by an external force according to some particle characteristic such as size or index of refraction. The surface features cause the trajectories of particles driven across the surface to deviate from the direction of the force by an amount that depends on the particular characteristic, thus leading to sorting. While models of this behavior have provided a good understanding of these observations, the solutions have so far been primarily numerical. In this paper we provide analytic predictions for the dependence of the angle between the direction of motion and the external force on a number of model parameters for periodic as well as random surfaces. We test these predictions against exact numerical simulations. |
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