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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.17291 |
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| _version_ | 1866917027324624896 |
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| author | Smyrnelis, Panayotis Clerc, Marcel G. Diaz-Zuniga, Manuel Kowalczyk, Michał |
| author_facet | Smyrnelis, Panayotis Clerc, Marcel G. Diaz-Zuniga, Manuel Kowalczyk, Michał |
| contents | In this paper we complete the study of global minimizers of a forced, non autonomous, one dimensional, phase transition model, initiated in [8]. Motivated by the recent findings in [9], revealing new configurations of topological structures in light, we consider a forcing term having two periods. We show that depending on the strength of the forcing, at most two thresholds that determine the structure of the minimizers (kinks) are attained. These kinks are now a combination of the previous types encountered in [8], and they may have at most three zeros. The existence of these complex types of phase transition follows from a periodic one dimensional model of matter-light interaction in nematic liquid crystal based on a thin sample limit of the Oseen-Frank energy. We show that the qualitative behaviour of global minimizers is consistent with the original model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy minimizers in a periodic phase transition model of light-matter interaction in nematic liquid crystals Smyrnelis, Panayotis Clerc, Marcel G. Diaz-Zuniga, Manuel Kowalczyk, Michał Analysis of PDEs In this paper we complete the study of global minimizers of a forced, non autonomous, one dimensional, phase transition model, initiated in [8]. Motivated by the recent findings in [9], revealing new configurations of topological structures in light, we consider a forcing term having two periods. We show that depending on the strength of the forcing, at most two thresholds that determine the structure of the minimizers (kinks) are attained. These kinks are now a combination of the previous types encountered in [8], and they may have at most three zeros. The existence of these complex types of phase transition follows from a periodic one dimensional model of matter-light interaction in nematic liquid crystal based on a thin sample limit of the Oseen-Frank energy. We show that the qualitative behaviour of global minimizers is consistent with the original model. |
| title | Energy minimizers in a periodic phase transition model of light-matter interaction in nematic liquid crystals |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.17291 |