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Molecular dynamics simulations are used to show that strong magnetizationsignificantly increases the space and time scales associated with interparticlecorrelations. The physical mechanism responsible is a channeling effect wherebyparticles are confined to move along narrow cylinders with a widthcharacterized by the gyroradius and a length characterized by the collisionmean free path. The predominant interaction is $180^\circ$ collisions at theends of the collision cylinders, resulting in a long-range correlation parallelto the magnetic field. Its influence is demonstrated via the dependence of thevelocity autocorrelation functions and self-diffusion coefficients on thedomain size and run time in simulations of the one-component plasma. A verylarge number of particles, and therefore domain size, must be used to resolvethe long-range correlations, suggesting that the number of charged particles inthe collection must increase in order to constitute a plasma. Correspondingly,this effect significantly delays the time it takes to reach a diffusive regime,in which the mean square displacement of particles increases linearly in time.This result presents challenges for connecting measurements in non-neutral andultracold neutral plasma experiments, as well as molecular dynamicssimulations, with fluid transport properties due to their finite size.

Extended space and time correlations in strongly magnetized plasmas