Minimal model of drag in one-dimensional crystals

Using a nonperturbative classical approach, we study the dynamics of a mobile particle interacting with an infinite one-dimensional (1D) chain of harmonic oscillators. This minimal system is an effective model for many 1D transport phenomena, such as molecular motion in nanotubes and ionic conductio...

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Bibliographic Details
Published in:Physical review research 2023-01, Vol.5 (1), p.013053, Article 013053
Main Authors: Mahalingam, Harshitra, Yap, Zhun Wai, Olsen, B. A., Rodin, A.
Format: Article
Language:English
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Summary:Using a nonperturbative classical approach, we study the dynamics of a mobile particle interacting with an infinite one-dimensional (1D) chain of harmonic oscillators. This minimal system is an effective model for many 1D transport phenomena, such as molecular motion in nanotubes and ionic conduction through solid-state materials. As expected, coupling between the mobile particle and the chain induces dissipation of the mobile particle's energy. However, both numerical and analytic results demonstrate an unconventional nonmonotonic dependence of the drag on particle speed. In addition, when this system is subjected to a constant bias, it supports multiple steady-state drift velocities.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.5.013053