薄层泵Arnold扩散理论

计算物理 ›› 1992, Vol. 9 ›› Issue (S2): 669-671.

薄层泵Arnold扩散理论

王光瑞

北京应用物理与计算数学研究所, 北京8009 信箱 100088

收稿日期:1991-10-24 出版日期:1992-12-31 发布日期:1992-12-31
基金资助:
本工作得到美国能源部资金:DE-FG05-87ER40374;美国HARC超级计算机88-017及中国国家自然科学基金资助

ARNOLD DIFFUSION IN THIN LAYER PUMP

Wang Guangrui

Institute of Applied Physics and Computational Mathematics, Beijing

Received:1991-10-24 Online:1992-12-31 Published:1992-12-31

摘要/Abstract

摘要： 本文以解析与数值计算研究了耦合标准映象的阿诺(Arnold)扩散现象。假设(J₀-φ₀)为泵且处于薄随机层,给出扩散率的解析表达式。同时,我们又数值计算了作为耦合常数b、非线性参数K及迭代次数N等函数的扩散率。结果表明,当各种参数较小时,两种结果相符合。也分析了参数大时,解析理论不适用的原因。

关键词: 薄随机层, Arnold扩散, 耦合标准映象

Abstract: In this paper, numerical studes are performed on a model for a coupled standard mapping to investigate the Arnold diffusion. We present estimates diffusion coefficient as a function of coupling constant b, the nonlinearity parameters k and the number of iteration N, and compared with the results of the theoretical. We estimates the diffusion coefficent along the thin stochastic layer of the J-ψ motion. For samll parameter values, theoretical pradiction agrees well with numerical result.

Key words: Thin stochastic layer, Arnold diffusion, Coupled standard mapping

王光瑞. 薄层泵Arnold扩散理论[J]. 计算物理, 1992, 9(S2): 669-671.

Wang Guangrui. ARNOLD DIFFUSION IN THIN LAYER PUMP[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(S2): 669-671.