Probing the hue of the stochastic magnetization dynamics

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Nicolis, Stam^1 ; Tranchida, Julien^1,2 ; Thibaudeau, Pascal^2

CNRS-Laboratoire de Mathématiques et Physique Théorique (UMR 7350), Fédération de Recherche Denis Poisson (FR2964), Département de Physique, Université de Tours, Parc de Grandmont, Tours

F-37200, France^1

CEA DAM/Le Ripault, BP 16, Monts

F-37260, France^2

关键词: Equilibration time;    Flow parameters;    Hierarchy of equations;    Magnetization dynamics;    Planck's constants;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012005/pdf
DOI  :  10.1088/1742-6596/738/1/012005

来源: IOP

【 摘 要 】

The Fokker-Planck equation describes the evolution of a probability distribution towards equilibrium-the flow parameter is the equilibration time. Assuming the distribution remains normalizable for all times, it is equivalent to an open hierarchy of equations for the moments. Ways of closing this hierarchy have been proposed; ways of explicitly solving the hierarchy equations have received much less attention. In this paper we show that much insight can be gained by mapping the Fokker-Planck equation to a Schrodinger equation, where Planck's constant is identified with the diffusion coefficient.