Self-Diffusion and Structure of a Quasi Two-Dimensional, Classical Coulomb Gas Under Increasing Magnetic Field and Temperature

Abstract

The influence of a magnetic field applied perpendicularly to the plane of a quasi two dimensional, low density classical Coulomb gas, with interparticle potential U of r as 1 over r, is studied using momentum conserving dissipative particle dynamics simulations. The self diffusion and structure of the gas are studied as functions of temperature and strength of the magnetic field. It is found that the gas undergoes a topological phase transition when the temperature is varied, in accord with the Bohr van Leeuwen BvL theorem, the structural properties being unaffected, resembling those of the strictly two dimensional Kosterlitz Thouless transition, with U of r as varying as ln r. Consistent with the BvL theorem, the transition temperature and the melting process of the condensed phase are unchanged by the field. Conversely, the self diffusion coefficient of the gas is strongly reduced by the magnetic field. At the largest values of the cyclotron frequency, the self diffusion coefficient is inversely proportional to the applied magnetic field. The implications of these results are discussed.

arXiv comment30 pages, 10 figures

References in corpus (11)

• Integration Schemes for Dissipative Particle Dynamics Simulations: From Softly Interacting Systems Towards Hybrid Models
• A dissipative particle dynamics method for arbitrarily complex geometries
• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Magnetoresistance of 2D and 3D Electron Gas in LaAlO3/SrTiO3 Heterostructures: Influence of Magnetic Ordering, Interface Scattering and Dimensionality
• Superdiffusion of 2D Yukawa liquids due to a perpendicular magnetic field
• Dynamics of two-dimensional complex plasmas in a magnetic field
• Self-diffusion in two-dimensional quasi-magnetized rotating dusty plasmas
• Evolution of ferromagnetism in two-dimensional electron gas of LaTiO3/SrTiO3
• Extended space and time correlations in strongly magnetized plasmas
• A rigorous proof of the Bohr-van Leeuwen theorem in the semiclassical limit
• Topological Phase Transition in a Quasi Two Dimensional Coulomb Gas