Chain-length-dependent correlated molecular motion in polymers

Fuente: arXiv
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Hauptverfasser: Reynolds, Matthew, Baker, Daniel L., Olmsted, Peter D., Mattsson, Johan
Format: Preprint
Veröffentlicht: 2024
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author Reynolds, Matthew
Baker, Daniel L.
Olmsted, Peter D.
Mattsson, Johan
author_facet Reynolds, Matthew
Baker, Daniel L.
Olmsted, Peter D.
Mattsson, Johan
contents We show how dynamic heterogeneities (DH), a hallmark of glass-forming materials, depend on chain flexibility and chain length in polymers. For highly flexible polymers, a relatively large number of monomers ($N_c\sim500$) undergo correlated motion at the glass transition temperature $T_g$, independent of molecular weight ($M$). In contrast, less flexible polymers show a complex $N_c(M)$ behaviour divided into three regimes, consistent with observation in both $T_g(M)$ and chain conformational structure. For short oligomers ($\lesssim$ 2 Kuhn steps), a transition from mainly $\it{inter}$molecular correlations and $N_c\sim 200$, to strongly $\it{intra}$molecular correlations and $N_c< 50$ (roughly the molecular size) is observed; for longer chains, $N_c$ increases weakly, before saturating. For poly(methyl methacrylate), a remarkable similarity is found between $N_c(M)$ and the $M$-dependent ratio of the activation barriers of the structural ($α$) and secondary ($β$) relaxations. Our results suggest a link between the DH length-scale and the number of $β$ relaxation events jointly-activated to facilitate the $α$ relaxation.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02733
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Chain-length-dependent correlated molecular motion in polymers
Reynolds, Matthew
Baker, Daniel L.
Olmsted, Peter D.
Mattsson, Johan
Soft Condensed Matter
Materials Science
We show how dynamic heterogeneities (DH), a hallmark of glass-forming materials, depend on chain flexibility and chain length in polymers. For highly flexible polymers, a relatively large number of monomers ($N_c\sim500$) undergo correlated motion at the glass transition temperature $T_g$, independent of molecular weight ($M$). In contrast, less flexible polymers show a complex $N_c(M)$ behaviour divided into three regimes, consistent with observation in both $T_g(M)$ and chain conformational structure. For short oligomers ($\lesssim$ 2 Kuhn steps), a transition from mainly $\it{inter}$molecular correlations and $N_c\sim 200$, to strongly $\it{intra}$molecular correlations and $N_c< 50$ (roughly the molecular size) is observed; for longer chains, $N_c$ increases weakly, before saturating. For poly(methyl methacrylate), a remarkable similarity is found between $N_c(M)$ and the $M$-dependent ratio of the activation barriers of the structural ($α$) and secondary ($β$) relaxations. Our results suggest a link between the DH length-scale and the number of $β$ relaxation events jointly-activated to facilitate the $α$ relaxation.
title Chain-length-dependent correlated molecular motion in polymers
topic Soft Condensed Matter
Materials Science
url https://arxiv.org/abs/2405.02733