Langevin Equations, Fokker–Planck Equations and Entropic Analysis of a Model-Independent Classical Plasma

Kendra Jean Jacques, Preet Sharma
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Abstract

Plasma dynamics have been studied extensively and there is a fair amount of understanding where the scientific community has reached at. However, there is still a very big gap in completely explaining plasma physics at the classical as well as the quantum level. The dynamics of plasma from an entropic approach are not very well understood or explained. There is too much chaos to account for and even a small deviation in terms of perturbations of any kind makes a sizeable difference. This study is based on the entropic approach where we take a model independent classical plasma. Then we apply Langevin equations and Fokker–Planck equations to explain the entropy generated and entropy produced. Then we study various conditions in which we apply an electric field and a magnetic field and understand the various trends in entropy changes. When we apply the electric field and the magnetic fields independently of each other and together in the plasma model, we see that there is a very important change in the increase in entropy. There are also changes in the plasma flow, but the overall flow does not drastically change since we have considered a model independent plasma. Finally, we show that there are indeed changes to the entropy in a model-independent classical plasma in the various cases as mentioned in this study.
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Langevin方程,Fokker-Planck方程和模型无关的经典等离子体的熵分析
等离子体动力学已经得到了广泛的研究,科学界已经达到了相当多的理解。然而,在经典和量子水平上完全解释等离子体物理仍然有很大的差距。从熵的角度来看,等离子体的动力学还没有得到很好的理解和解释。有太多的混乱要解释,甚至任何形式的扰动的一个小偏差都会造成相当大的差异。本研究是基于熵的方法,我们采取一个模型独立的经典等离子体。然后应用朗格万方程和福克-普朗克方程来解释熵的产生和熵的产生。然后我们研究了施加电场和磁场的各种条件,并了解了熵变的各种趋势。当我们在等离子体模型中分别施加电场和磁场或同时施加电场和磁场时,我们看到熵的增加有一个非常重要的变化。等离子体流也有变化,但由于我们考虑了一个与模型无关的等离子体,所以总体流量不会发生剧烈变化。最后,我们表明,在本研究中提到的各种情况下,与模型无关的经典等离子体中的熵确实存在变化。
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0.00%
发文量
18
审稿时长
3 weeks
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