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arXiv · 2209.06065

Minimal model of drag in one-dimensional crystals

Harshitra Mahalingam·Zhun Wai Yap·Ben A. Olsen·Aleksandr Rodin
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Abstract

Using a non-perturbative 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 non-monotonic 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.

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Harshitra Mahalingam, Zhun Wai Yap, Ben A. Olsen, Aleksandr Rodin. 2022-09-13. Minimal model of drag in one-dimensional crystals. https://doi.org/10.1103/physrevresearch.5.013053

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