Non-equilibrium molecular dynamics study of heat transfer parameters in two-dimensional Yukawa systems under uniform magnetic field

Abstract

The present study explores the effect of a magnetic field on the thermal conductivity of two-dimensional (2D) Yukawa systems in a wide range of system parameters using the non-equilibrium molecular dynamic method (NEMD). We consider an external magnetic field with $$\Omega =\omega _c/\omega _p\le 1$$ Ω = ω c / ω p ≤ 1 (with $$\Omega$$ Ω being the ratio of the cyclotron frequency to plasma frequency) and the coupling parameter values in the range $$1\le \Gamma \le 100$$ 1 ≤ Γ ≤ 100 (with $$\Gamma$$ Γ being the ratio of the Coulomb interaction energy at mean inter-particle distance to the thermal energy of particles). The results show that an external uniform magnetic field results in the reduction of the thermal conductivity at the considered values of the coupling parameter $$\Gamma$$ Γ . Additionally, we found that the effect of the magnetic field on thermal conduction is weaker at larger values of the system coupling parameter. To ensure that calculated results for the thermal conductivity are accurate and reliable, we performed a detailed investigation of the convergence of the results with respect to simulation parameters in NEMD with a strong external magnetic field. We believe that the presented results will serve as useful benchmark data for the theoretical models of (2D) Yukawa systems.