Singular Twist Waves in Chromonic Liquid Crystals
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912151544791040 |
|---|---|
| author | Paparini, Silvia Virga, Epifanio G. |
| author_facet | Paparini, Silvia Virga, Epifanio G. |
| contents | Chromonic liquid crystals are lyotropic nematic phases whose applications span from food to drug industries. It has recently been suggested that the elastic energy density governing the equilibrium distortions of these materials may be quartic in the measure of twist. Here we show that the non-linear twist-wave equation associated with such an energy has smooth solutions that break down in a finite time, giving rise to the formation of a shock wave, under rather generic assumptions on the initial profile. The critical time at which smooth solutions become singular is estimated analytically with an accuracy that numerical calculations for a number of exemplary cases prove to be satisfactory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10769 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular Twist Waves in Chromonic Liquid Crystals Paparini, Silvia Virga, Epifanio G. Soft Condensed Matter Mathematical Physics Analysis of PDEs Chromonic liquid crystals are lyotropic nematic phases whose applications span from food to drug industries. It has recently been suggested that the elastic energy density governing the equilibrium distortions of these materials may be quartic in the measure of twist. Here we show that the non-linear twist-wave equation associated with such an energy has smooth solutions that break down in a finite time, giving rise to the formation of a shock wave, under rather generic assumptions on the initial profile. The critical time at which smooth solutions become singular is estimated analytically with an accuracy that numerical calculations for a number of exemplary cases prove to be satisfactory. |
| title | Singular Twist Waves in Chromonic Liquid Crystals |
| topic | Soft Condensed Matter Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2410.10769 |