Fukuda Ikuo, Nakamura Haruki
National Institute of Advanced Industrial Science and Technology, 2-41-6, Aomi, Koto-ku, Tokyo 135-0064, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2 Pt 2):026105. doi: 10.1103/PhysRevE.65.026105. Epub 2002 Jan 9.
On the basis of the Nosé-Hoover method, we developed a deterministic algorithm that produces an arbitrary probability density. An ordinary differential equation in the algorithm can realize the Tsallis distribution density. The Tsallis distribution has been considered a candidate of a distribution that represents a physical system in a heat bath. The Tsallis distribution density employed in this algorithm is defined using a full energy function form E(x,p), along with the Tsallis index q > or = 1. Using the current equation, numerical simulations were performed for simple systems and the Tsallis distributions were observed.
基于诺西-胡佛方法，我们开发了一种能生成任意概率密度的确定性算法。该算法中的一个常微分方程可实现Tsallis分布密度。Tsallis分布一直被视为表示热浴中物理系统的一种分布候选。此算法中使用的Tsallis分布密度是通过全能量函数形式E(x,p)以及Tsallis指数q≥1来定义的。利用当前方程，对简单系统进行了数值模拟，并观测到了Tsallis分布。
