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Superdiffusion of two-dimensional Yukawa liquids due to a perpendicular magnetic field
Journal article   Open access   Peer reviewed

Superdiffusion of two-dimensional Yukawa liquids due to a perpendicular magnetic field

Yan Feng, J Goree, Bin Liu, T. P Intrator and M. S Murillo
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.90(1), pp.013105-013105
07/2014
DOI: 10.1103/PhysRevE.90.013105
PMID: 25122399
url
https://arxiv.org/pdf/1311.7053View
Open Access

Abstract

Stochastic transport of a two-dimensional (2D) dusty plasma liquid with a perpendicular magnetic field is studied. Superdiffusion is found to occur especially at higher magnetic fields with 𝛽 of order unity. Here, 𝛽=𝜔𝑐/𝜔𝑝⁢𝑑 is the ratio of the cyclotron and plasma frequencies for dust particles. The mean-square displacement MSD=4⁢𝐷𝛼⁢𝑡𝛼 is found to have an exponent 𝛼>1, indicating superdiffusion, with 𝛼 increasing monotonically to 1.1 as 𝛽 increases to unity. The 2D Langevin molecular dynamics simulation used here also reveals that another indicator of random particle motion, the velocity autocorrelation function, has a dominant peak frequency 𝜔peak that empirically obeys 𝜔2 peak=𝜔2 𝑐+𝜔2 𝑝⁢𝑑/4.

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