薄层泵Arnold扩散理论

ARNOLD DIFFUSION IN THIN LAYER PUMP

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(J_0-φ_0)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。

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.