Entropy of deterministic trajectory via trajectories ensemble

doi:10.1088/1674-1056/ad3348

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 63401-063401.doi: 10.1088/1674-1056/ad3348

Entropy of deterministic trajectory via trajectories ensemble

Yonggang Peng(彭勇刚)†, Cuiping Ran(冉翠平), and Yujun Zheng(郑雨军)‡

School of Physics, Shandong University, Jinan 250100, China

收稿日期:2024-01-03 修回日期:2024-03-06 接受日期:2024-03-13 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Yonggang Peng, Yujun Zheng E-mail:ygpeng@sdu.edu.cn;yzheng@sdu.edu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant No. 12234013) and the Natural Science Foundation of Shandong Province (Grant No. ZR2021LLZ009).

Entropy of deterministic trajectory via trajectories ensemble

Yonggang Peng(彭勇刚)†, Cuiping Ran(冉翠平), and Yujun Zheng(郑雨军)‡

School of Physics, Shandong University, Jinan 250100, China

Received:2024-01-03 Revised:2024-03-06 Accepted:2024-03-13 Online:2024-06-18 Published:2024-06-18
Contact: Yonggang Peng, Yujun Zheng E-mail:ygpeng@sdu.edu.cn;yzheng@sdu.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant No. 12234013) and the Natural Science Foundation of Shandong Province (Grant No. ZR2021LLZ009).

摘要/Abstract

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

Abstract: 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.

Key words: trajectory entropy, trajectories ensemble

中图分类号: (General theories and models of atomic and molecular collisions and interactions (including statistical theories, transition state, stochastic and trajectory models, etc.))

34.10.+x

05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)

Yonggang Peng(彭勇刚), Cuiping Ran(冉翠平), and Yujun Zheng(郑雨军). Entropy of deterministic trajectory via trajectories ensemble[J]. 中国物理B, 2024, 33(6): 63401-063401.

Yonggang Peng(彭勇刚), Cuiping Ran(冉翠平), and Yujun Zheng(郑雨军). Entropy of deterministic trajectory via trajectories ensemble[J]. Chin. Phys. B, 2024, 33(6): 63401-063401.

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Entropy of deterministic trajectory via trajectories ensemble

Entropy of deterministic trajectory via trajectories ensemble

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