Superdiffusion of 2D Yukawa liquids due to a perpendicular magnetic field

Abstract

Stochastic transport of a two-dimensional (2D) dusty plasma liquid with a perpendicular magnetic field is studied. Superdiffusion, which is a type of non-Fickian transport, is found to occur especially at higher magnetic fields with $\beta$ of order unity. Here, $\beta ={\omega }_c/{\omega }_{pd}$ is the ratio of the cyclotron and plasma frequencies for dust particles. The mean-square displacement $\mathrm{MSD}=4D_{\alpha }{t}^{\alpha }$ is found to have an exponent $\alpha >1$, indicating superdiffusion, with $\alpha$ increasing monotonically to $1.1$ as $\beta$ increases to unity. The 2D Langevin molecular dynamics simulation used here also reveals that another indicator of random particle motion, the velocity autocorrelation function (VACF), has a dominant peak frequency ${\omega }_{peak}$ that empirically obeys ${\omega }_{peak}^2={\omega }_c^2+{\omega }_{pd}^2/4$.

8 pages text, 6 figures

References in corpus (11)

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Cited by in corpus (11)

• Self-diffusion in two-dimensional quasi-magnetized rotating dusty plasmas
• The Effect of Correlations on the Heat Transport in a Magnetized Plasma
• Transport Regimes Spanning Magnetization-Coupling Phase Space
• Spontaneous generation of a temperature anisotropy in a strongly coupled magnetized plasma
• Phonon spectra of two-dimensional liquid dusty plasmas on a one-dimensional periodic substrate
• Fickian yet non-Gaussian diffusion in two-dimensional Yukawa liquids
• Oscillation-like diffusion of two-dimensional liquid dusty plasmas on one-dimensional periodic substrates with varied widths
• Extended space and time correlations in strongly magnetized plasmas
• Anomalous magnetic suppression of spin relaxation in a two-dimensional electron gas in a GaAs/AlGaAs quantum well
• Simultaneous effect of an external magnetic field and gas-induced friction on the caging of particles in two-dimensional Yukawa systems
• Self-Diffusion and Structure of a Quasi Two-Dimensional, Classical Coulomb Gas Under Increasing Magnetic Field and Temperature