2024-03-28T11:57:30Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00030138
2023-01-16T04:23:12Z
320:321:322
Coarse-graining of microscopic dynamics into a mesoscopic transient potential model
Uneyama, Takashi
open access
© 2020 American Physical Society
We show that a mesoscopic coarse-grained dynamics model which incorporates the transient potential can be formally derived from an underlying microscopic dynamics model. As a microscopic dynamics model, we employ the overdamped Langevin equation. By utilizing the path probability and the Onsager-Machlup type action, we calculate the path probability for the coarse-grained mesoscopic degrees of freedom. The action for the mesoscopic degrees of freedom can be simplified by incorporating the transient potential. Then the dynamic equation for the mesoscopic degrees of freedom can be simply described by the Langevin equation with the transient potential (LETP). As a simple and analytically tractable approximation, we introduce additional degrees of freedom which express the state of the transient potential. Then we approximately express the dynamics of the system as the the combination of the LETP and the dynamics model for the transient potential. The resulting dynamics model has the same dynamical structure as the responsive particle dynamics type models [W. J. Briels, Soft Matter 5, 4401 (2009)] and the multichain slip-spring type models [T. Uneyama and Y. Masubuchi, J. Chem. Phys. 137, 154902 (2012)]. As a demonstration, we apply our coarse-graining method with the LETP to a single particle dynamics in a supercooled liquid, and compare the results of the LETP with the molecular dynamics simulations and other coarse-graining models.
American Physical Society
2020-03
eng
journal article
VoR
http://hdl.handle.net/2237/00032324
https://nagoya.repo.nii.ac.jp/records/30138
https://doi.org/10.1103/PhysRevE.101.032106
2470-0045
Physical Review E
101
3
https://nagoya.repo.nii.ac.jp/record/30138/files/PhysRevE101_032106.pdf
application/pdf
1.0 MB
2020-06-09