Bag BC, Ray DS
Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700032, India.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Aug;62(2 Pt A):1927-35. doi: 10.1103/physreve.62.1927.
We consider a general N-degree-of-freedom dissipative system that exhibits chaotic behavior. Based on a Fokker-Planck description associated with the dynamics, we establish that the drift and the diffusion coefficients can be related through a set of stochastic parameters that characterize the steady state of the dynamical system in a way similar to the fluctuation-dissipation relation in nonequilibrium statistical mechanics. The proposed relationship is verified by numerical experiments on a driven double-well system.
我们考虑一个具有混沌行为的一般N自由度耗散系统。基于与动力学相关的福克-普朗克描述，我们确定漂移系数和扩散系数可以通过一组随机参数相关联，这些参数以类似于非平衡统计力学中的涨落耗散关系的方式表征动力系统的稳态。所提出的关系通过对受驱双阱系统的数值实验得到验证。
