A drift-diffusion model based on the fractional exclusion statistics

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Nemnes, G.A.^1,2 ; Anghel, D.V.^1

Horia Hulubei National Institute for Physics and Nuclear Engineering, Magurele-Ilfov

077126, Romania^1

University of Bucharest, Faculty of Physics, MDEO Research Center, Magurele-Ilfov

077125, Romania^2

关键词: Drift process;    Drift-diffusion model;    Monte carlo schemes;    Quantum gas;    Screened Coulomb interaction;    Stationary regime;    Transition rates;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012006/pdf
DOI  :  10.1088/1742-6596/738/1/012006

来源: IOP

【 摘 要 】

We propose a drift-diffusion model for systems which obey fractional exclusion statistics (FES), in a framework where the species include classical degrees of freedom such as positions. The transition rates are calculated and the relation between the step and acceptance probabilities on one hand and the diffusion and drift processes on the other hand are established. A Monte Carlo scheme is implemented on a prototypical double-junction system of particles with screened Coulomb interactions. In our approach the properties of interacting quantum gases are locally included using the FES methodology. The model is suitable to describe transient as well as stationary regimes.