二维带电液体中的普适超扩散模
Universal superdiffusive modes in charged two dimensional liquids
摘要：
利用流体动力学方法，我们证明了动量守恒破缺的二维库仑相互作用液体中的电荷扩散是本质反常的。电荷弛豫是由过阻尼，超扩散等离子体激元模式。我们证明了扩散粒子遵循Lévy飞行轨迹，并研究了磁场影响下的流体动力学集体模式。后者被证明是减缓超扩散过程。结果被认为是相关的固体中的电子液体，以及等离子体。
英文摘要：
Using a hydrodynamic approach, we show that charge diffusion in two dimensional Coulomb interacting liquids with broken momentum conservation is intrinsically anomalous. The charge relaxation is governed by an overdamped, superdiffusive plasmon mode. We demonstrate that the diffusing particles follow Lévy flight trajectories, and study the hydrodynamic collective modes under the influence of magnetic fields. The latter are shown to slow down the superdiffusive process. The results are argued to be relevant to electron liquids in solids, as well as plasmas.
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