Frank Elastic Constants of Associating Rigid-Rodlike Systems
Abstract
Frank elastic constants of associating rigid rodlike systems are investigated using a mean field theory combined with the Straley elastic free energy formalism. The aggregation equilibrium and orientational ordering are treated self-consistently to analyze the concentration and temperature dependences of the elastic constants. Both a monomer--dimer model and a fully polydisperse rodlike aggregate model are considered. We find that aggregation selectively enhances the bend elastic constant through the long-tail structure of the aggregate-size distribution. As a result, a pronounced elastic anisotropy, K33≫ K11>K22, emerges in the nematic phase. Decreasing temperature or increasing concentration promotes the formation of long rodlike aggregates and induces a rapid increase in the bend elastic constant, while the relation K11=3K22 remains unchanged. The exceptionally large bend elastic constants predicted here should be regarded as upper-bound estimates for the rigid-aggregate limit.
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BibTeX
@misc{matsuyama2026frank,
title = {{Frank Elastic Constants of Associating Rigid-Rodlike Systems}},
author = {Akihiko Matsuyama},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05967},
eprint = {2611.05967},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05967},
}
RIS
TY - UNPB
TI - Frank Elastic Constants of Associating Rigid-Rodlike Systems
AU - Akihiko Matsuyama
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.05967
UR - https://arxiv.org/abs/2611.05967
AB - Frank elastic constants of associating rigid rodlike systems are investigated using a mean field theory combined with the Straley elastic free energy formalism. The aggregation equilibrium and orientational ordering are treated self-consistently to analyze the concentration and temperature dependences of the elastic constants. Both a monomer--dimer model and a fully polydisperse rodlike aggregate model are considered. We find that aggregation selectively enhances the bend elastic constant through the long-tail structure of the aggregate-size distribution. As a result, a pronounced elastic anisotropy, K_33≫ K_11>K_22, emerges in the nematic phase. Decreasing temperature or increasing concentration promotes the formation of long rodlike aggregates and induces a rapid increase in the bend elastic constant, while the relation K_11=3K_22 remains unchanged. The exceptionally large bend elastic constants predicted here should be regarded as upper-bound estimates for the rigid-aggregate limit.
ER -