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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.06126 |
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| _version_ | 1866914828599164928 |
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| author | Dengler, R. |
| author_facet | Dengler, R. |
| contents | This work examines field theories for RNA-like polymers with single strand and double strand polymers and a periodic base sequence. These field theories originate from lattice models, describe polymers in a good solvent, and in principle exactly describe the critical behavior. A central role is played by the conventional one-component branched polymer and the mapping of the corresponding field theory to the Lee-Yang field theory in two less dimensions. Critical phenomena in the context of polymers as well as the Lee-Yang model entail pecularities, which we derive in detail. A new result is that the critical point of RNA-like branched polymers (with periodic base sequence) looks like the critical point of the classical one-component branched polymer, but with one more critical exponent for the single strand polymer. A random base sequence generates additional relevant interactions, and invalidates the simple picture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_06126 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Critical phenomena of RNA-like polymers -- a synopsis Dengler, R. Soft Condensed Matter This work examines field theories for RNA-like polymers with single strand and double strand polymers and a periodic base sequence. These field theories originate from lattice models, describe polymers in a good solvent, and in principle exactly describe the critical behavior. A central role is played by the conventional one-component branched polymer and the mapping of the corresponding field theory to the Lee-Yang field theory in two less dimensions. Critical phenomena in the context of polymers as well as the Lee-Yang model entail pecularities, which we derive in detail. A new result is that the critical point of RNA-like branched polymers (with periodic base sequence) looks like the critical point of the classical one-component branched polymer, but with one more critical exponent for the single strand polymer. A random base sequence generates additional relevant interactions, and invalidates the simple picture. |
| title | Critical phenomena of RNA-like polymers -- a synopsis |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2310.06126 |