论文标题

一维晶体中阻力的最小模型

Minimal model of drag in one-dimensional crystals

论文作者

Mahalingam, Harshitra, Yap, Zhun Wai, Olsen, Ben A., Rodin, Aleksandr

论文摘要

使用非扰动的经典方法,我们研究了与无限一维(1D)谐波振荡器链相互作用的移动粒子的动力学。该最小系统是许多一维转运现象的有效模型,例如纳米管中的分子运动和通过固态材料传导的离子传导。不出所料,移动粒子与链之间的耦合会导致移动粒子能量的耗散。但是,数值和分析结果都表明,阻力对粒子速度的非单调依赖性非常规。另外,当该系统遭受恒定偏差时,它支持多个稳态漂移速度。

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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