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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:
It is part of: European Physical Journal B, 2019, vol. 92, num. 95
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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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