Entropy of deterministic trajectory via trajectories ensemble
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 doub...
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| Published in | Chinese physics B Vol. 33; no. 6; pp. 63401 - 353 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Chinese Physical Society and IOP Publishing Ltd
01.06.2024
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| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/ad3348 |
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| 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. |
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| AbstractList | We present a formulation of the single-trajectory entropy using the trajectories ensemble.The single-trajectory en-tropy 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 tra-jectory 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. 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. |
| Author | Ran, Cuiping Zheng, Yujun Peng, Yonggang |
| Author_xml | – sequence: 1 givenname: Yonggang surname: Peng fullname: Peng, Yonggang organization: School of Physics, Shandong University , China – sequence: 2 givenname: Cuiping surname: Ran fullname: Ran, Cuiping organization: School of Physics, Shandong University , China – sequence: 3 givenname: Yujun surname: Zheng fullname: Zheng, Yujun organization: School of Physics, Shandong University , China |
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| Snippet | We present a formulation of the single-trajectory entropy using the trajectories ensemble. The single-trajectory entropy is affected by its surrounding... We present a formulation of the single-trajectory entropy using the trajectories ensemble.The single-trajectory en-tropy is affected by its surrounding... |
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| SubjectTerms | trajectories ensemble trajectory entropy |
| Title | Entropy of deterministic trajectory via trajectories ensemble |
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