Entropy of deterministic trajectory via trajectories ensemble  

作　　者：彭勇刚 冉翠平 郑雨军 Yonggang Peng;Cuiping Ran;Yujun Zheng(School of Physics,Shandong University,Jinan 250100,China)

机构地区：[1]School of Physics,Shandong University,Jinan 250100,China

出　　处：《Chinese Physics B》2024年第6期347-354,共8页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 12234013);the Natural Science Foundation of Shandong Province (Grant No. ZR2021LLZ009)。

摘　　要：We present a formulation of the single-trajectory entropy using the trajectories ensemble. The single-trajectory entropy is affected by its surrounding trajectories via the distribution function. The single-trajectory entropies are studied in two typical potentials, i.e., harmonic potential and double-well potential, and in viscous environment by interacting trajectory method. The results of the trajectory methods are in agreement well with the numerical methods(Monte Carlo simulation and difference equation). The single-trajectory entropies increasing(decreasing) could be caused by absorption(emission) heat from(to) the thermal environment. Also, some interesting trajectories, which correspond to the rare evens in the processes, are demonstrated.

关 键 词：trajectory entropy trajectories ensemble 

分 类 号：O41[理学—理论物理]