Two dimensional Coulomb gas in a non-conservative trap

Abstract

We study the nonequilibrium steady state of a two dimensional Coulomb gas under the action of an anisotropic harmonic trapping potential along with a non-conservative rotational force. In the case without rotation, the equilibrium (zero temperature) steady state has a uniform density supported over a a static elliptical droplet. The addition of a rotational force drives the system into a nonequilibrium steady state where the density is still uniform inside an ellipse, but the ellipse gets tilted by a a fixed angle compared to the non-rotational case. In addition, a nonzero current is generated inside the droplet which run concentrically to the droplet boundary. For large rotational force, the droplet develops a purely circular form. Our results are predicted by a simple hydrodynamic calculation and are confirmed by numerical simulations and provide a full understanding of a novel driven non-equilibrium state in a strongly interacting system.

12 pages 5 figures

References in corpus (14)

• Hyperuniform States of Matter
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Influence of non-conservative optical forces on the dynamics of optically trapped colloidal spheres: The fountain of probability
• A shortcut through the Coulomb gas method for spectral linear statistics on random matrices
• Two-dimensional one-component plasma in a quadrupolar field
• Extremes of $2d$ Coulomb gas: universal intermediate deviation regime
• Universality of the third-order phase transition in the constrained Coulomb gas
• Large deviations of radial statistics in the two-dimensional one-component plasma
• Analogies between random matrix ensembles and the one-component plasma in two-dimensions
• Index Distribution of the Ginibre Ensemble
• Nonequilibrium dynamics induced by scattering forces for optically trapped nanoparticles in strongly inertial regimes
• The Elliptic Ginibre Ensemble: A Unifying Approach to Local and Global Statistics for Higher Dimensions
• The role of non-conservative scattering forces and damping on Brownian particles in optical traps
• Non-equilibrium Statistical Mechanics of Two-dimensional Vortices