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http://hdl.handle.net/2445/152810
Title: | A model for a driven Frenkel-Kontorova chain |
Author: | Quapp, Wolfgang Bofill i Villà, Josep M. |
Keywords: | Teories no lineals Matèria condensada Química física Nonlinear theories Condensed matter Physical and theoretical chemistry |
Issue Date: | 8-May-2019 |
Publisher: | Springer Verlag |
Abstract: | We study a Frenkel{Kontorova (FK) model of a nite chain with free-end boundary conditions. The model has two competing potentials. Newton trajectories are an ideal tool to understand the circumstances under a driving of an FK chain by external forces. To reach the insights we calculate some stationary structures for a chain with 23 particles. We search the lowest energy saddle points for a complete minimum energy path of the chain for a movement over the full period of the on-site potential, a sliding. If an additional tilting is set, then one is interested in barrier breakdown points (BBPs) on the potential energy surface for a critical tilting force named the static frictional force. In symmetric cases, such BBPs are often valley-ridge in ection points of the potential energy surface. We explain the theory and demonstrate it with an example. We propose a model for a DC drive, as well as an AC drive, of the chain using special directional vectors of the external force. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1140/epjb/e2019-90703-0 |
It is part of: | European Physical Journal B, 2019, vol. 92, num. 95 |
URI: | http://hdl.handle.net/2445/152810 |
Related resource: | https://doi.org/10.1140/epjb/e2019-90703-0 |
ISSN: | 1434-6028 |
Appears in Collections: | Articles publicats en revistes (Institut de Química Teòrica i Computacional (IQTCUB)) Articles publicats en revistes (Química Inorgànica i Orgànica) |
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