标题： 从非平衡格林函数到格子威格纳：量子纳米流体模拟的简化模型 显示英文标题

标题： From non-equilibrium Green's functions to Lattice Wigner: A toy model for quantum nanofluidics simulations

摘要： 最近在纳米通道中流体传输的实验显示了极性流体中的电荷涨落与石墨烯固体中的电子激发之间的耦合，这可能导致摩擦的显著减少，这种现象被称为“负量子摩擦”。 在本文中，我们提出了一种半经典介观玻尔兹曼-维格纳格子动力学模型，用于描述量子纳米尺度传输，并对量子相互作用对一维纳米流体在周期性外部势作用下的演化影响进行了数值研究。 结果表明，当准粒子的量子长度尺度（费米波长）与外部势的长度尺度相当时，量子涨落的影响变得明显。 在这些条件下，量子涨落主要体现在奇数动能矩上，而偶数动能矩几乎不受影响，因为它们被热涨落“保护”了。 希望目前的玻尔兹曼-维格纳格子模型及其扩展可能为工程相关尺度上的量子纳米流体传输现象的计算机模拟提供有用的工具。 显示英文摘要

摘要： Recent experiments of fluid transport in nano-channels have shown evidence of a coupling between charge-fluctuations in polar fluids and electronic excitations in graphene solids, which may lead to a significant reduction of friction a phenomenon dubbed "negative quantum friction". In this paper, we present a semi-classical mesoscale Boltzmann-Wigner lattice kinetic model of quantum-nanoscale transport and perform a numerical study of the effects of the quantum interactions on the evolution of a one-dimensional nano-fluid subject to a periodic external potential. It is shown that the effects of quantum fluctuations become visible once the quantum length scale (Fermi wavelength) of the quasiparticles becomes comparable to the lengthscale of the external potential. Under such conditions, quantum fluctuations are mostly felt on the odd kinetic moments, while the even ones remain nearly unaffected because they are "protected" by thermal fluctuations. It is hoped that the present Boltzmann-Wigner lattice model and extensions thereof may offer a useful tool for the computer simulation of quantum-nanofluidic transport phenomena at scales of engineering relevance.