Effect of the presence of pinned particles on the structural parameters of a liquid and correlation between structure and dynamics at the local level

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Hauptverfasser: Patel, Palak, Bhattacharyya, Sarika Maitra
Format: Preprint
Veröffentlicht: 2023
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author Patel, Palak
Bhattacharyya, Sarika Maitra
author_facet Patel, Palak
Bhattacharyya, Sarika Maitra
contents Pinning particles at the equilibrium configuration of the liquid is expected not to affect the structure and any property that depends on the structure while slowing down the dynamics. This leads to a breakdown of the structure dynamics correlation. Here, we calculate two structural quantities, the pair excess entropy, $S_2$, and the mean field caging potential, the inverse of which is our structural order parameter (SOP). We show that when the pinned particles are treated the same way as the mobile particles, both $S_2$ and SOP of the mobile particles remain the same as that of the unpinned system, and the structure dynamics correlation decreases with an increase in pinning density, "c". However, when we treat the pinned particles as a different species, even if we consider that the structure does not change, the expression of $S_2$ and SOP changes. The microscopic expressions show that interaction between a pinned and mobile particle affects $S_2$ and SOP more than the interaction between two mobile particles. We show that a similar effect is also present in the calculation of the excess entropy and the primary reason for the well-known vanishing of the configurational entropy at high temperatures. We further show that contrary to common belief, the pinning process does change the structure. When these two effects are considered, both $S_2$ and SOP decrease with an increase in "c", and the correlation between the structural parameters and the dynamics continues even for higher values of "c".
format Preprint
id arxiv_https___arxiv_org_abs_2312_10353
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Effect of the presence of pinned particles on the structural parameters of a liquid and correlation between structure and dynamics at the local level
Patel, Palak
Bhattacharyya, Sarika Maitra
Chemical Physics
Soft Condensed Matter
Statistical Mechanics
Computational Physics
Fluid Dynamics
Pinning particles at the equilibrium configuration of the liquid is expected not to affect the structure and any property that depends on the structure while slowing down the dynamics. This leads to a breakdown of the structure dynamics correlation. Here, we calculate two structural quantities, the pair excess entropy, $S_2$, and the mean field caging potential, the inverse of which is our structural order parameter (SOP). We show that when the pinned particles are treated the same way as the mobile particles, both $S_2$ and SOP of the mobile particles remain the same as that of the unpinned system, and the structure dynamics correlation decreases with an increase in pinning density, "c". However, when we treat the pinned particles as a different species, even if we consider that the structure does not change, the expression of $S_2$ and SOP changes. The microscopic expressions show that interaction between a pinned and mobile particle affects $S_2$ and SOP more than the interaction between two mobile particles. We show that a similar effect is also present in the calculation of the excess entropy and the primary reason for the well-known vanishing of the configurational entropy at high temperatures. We further show that contrary to common belief, the pinning process does change the structure. When these two effects are considered, both $S_2$ and SOP decrease with an increase in "c", and the correlation between the structural parameters and the dynamics continues even for higher values of "c".
title Effect of the presence of pinned particles on the structural parameters of a liquid and correlation between structure and dynamics at the local level
topic Chemical Physics
Soft Condensed Matter
Statistical Mechanics
Computational Physics
Fluid Dynamics
url https://arxiv.org/abs/2312.10353