Instabilities, thermal fluctuations, defects and dislocations in the crystal-$R_I$-$R_{II}$ rotator phase transitions of n-alkanes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915153896800256 |
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| author | Ganguly, Soumya Kanti Mukherjee, Prabir K. |
| author_facet | Ganguly, Soumya Kanti Mukherjee, Prabir K. |
| contents | The theoretical study of instabilities, thermal fluctuations, and topological defects in the crystal-rotator-I-rotator-II ($X-R_{I}-R_{II}$) phase transitions of n-alkanes has been conducted. First, we examine the nature of the $R_{I}-R_{II}$ phase transition in nanoconfined alkanes. We propose that under confined conditions, the presence of quenched random orientational disorder makes the $R_{I}$ phase unstable. This disorder-mediated transition falls within the Imry-Ma universality class. Next, we discuss the role of thermal fluctuations in certain rotator phases, as well as the influence of dislocations on the $X-R_I$ phase transition. Our findings indicate that the Herringbone order in the $X$-phase and the Hexatic order in the $R_{II}$-phase exhibit quasi-long-range characteristics. Furthermore, we find that in two dimensions, the unbinding of dislocations does not result in a disordered liquid state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10692 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Instabilities, thermal fluctuations, defects and dislocations in the crystal-$R_I$-$R_{II}$ rotator phase transitions of n-alkanes Ganguly, Soumya Kanti Mukherjee, Prabir K. Statistical Mechanics The theoretical study of instabilities, thermal fluctuations, and topological defects in the crystal-rotator-I-rotator-II ($X-R_{I}-R_{II}$) phase transitions of n-alkanes has been conducted. First, we examine the nature of the $R_{I}-R_{II}$ phase transition in nanoconfined alkanes. We propose that under confined conditions, the presence of quenched random orientational disorder makes the $R_{I}$ phase unstable. This disorder-mediated transition falls within the Imry-Ma universality class. Next, we discuss the role of thermal fluctuations in certain rotator phases, as well as the influence of dislocations on the $X-R_I$ phase transition. Our findings indicate that the Herringbone order in the $X$-phase and the Hexatic order in the $R_{II}$-phase exhibit quasi-long-range characteristics. Furthermore, we find that in two dimensions, the unbinding of dislocations does not result in a disordered liquid state. |
| title | Instabilities, thermal fluctuations, defects and dislocations in the crystal-$R_I$-$R_{II}$ rotator phase transitions of n-alkanes |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2502.10692 |