Complete solvability of the inertial spin model with an averaged spin

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2021-10-14 DOI:10.1090/qam/1601

Hyungjin Huh, Dohyun Kim

引用次数: 0

Abstract

We study the inertial spin model which consists of two variables: velocity as a mechanical observable and spin as an internal variable. In this paper, we slightly modified the original inertial spin model where the spin in the dynamics of the velocity is replaced by the average of spins. Moreover, by introducing two external control functions (rotation control and alignment control), we show the emergence of velocity and spin alignments mainly depends on these control functions. Finally, we perform numerical simulations that support and complement our theoretical results.

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具有平均自旋的惯性自旋模型的完全可解性

我们研究了由两个变量组成的惯性自旋模型:作为力学可观测值的速度和作为内变量的自旋。本文对原有的惯性自旋模型做了一些修改，将速度动力学中的自旋替换为自旋的平均值。此外，通过引入两个外部控制函数(旋转控制和对准控制)，我们表明速度和自旋对准的出现主要取决于这些控制函数。最后，我们进行了数值模拟来支持和补充我们的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.