Tsallis dynamics using the Nose-Hoover approach

On the basis of the Nose-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 qgreater than or equal to1. Using the current equation, numerical simulations were performed for simple systems and the Tsallis distributions were observed.