Asymptotics of polygons in restricted geometries subject to a force
We consider self-avoiding polygons in a restricted geometry, namely an infinite L × M tube in Z3. These polygons are subjected to a force f, parallel to the infinite axis of the tube. When f > 0 the force stretches the polygons, while when f < 0 the force is compressive. In this extended abstr...
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| Vydáno v: | Discrete mathematics and theoretical computer science Ročník DMTCS Proceedings, 28th... |
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| Hlavní autoři: | , , |
| Médium: | Journal Article Konferenční příspěvek |
| Jazyk: | angličtina |
| Vydáno: |
DMTCS
22.04.2020
Discrete Mathematics & Theoretical Computer Science |
| Témata: | |
| ISSN: | 1365-8050, 1462-7264, 1365-8050 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | We consider self-avoiding polygons in a restricted geometry, namely an infinite L × M tube in Z3. These polygons are subjected to a force f, parallel to the infinite axis of the tube. When f > 0 the force stretches the polygons, while when f < 0 the force is compressive. In this extended abstract we obtain and prove the asymptotic form of the free energy in the limit f → −∞. We conjecture that the f → −∞ asymptote is the same as the free energy of Hamiltonian polygons, which visit every vertex in a L × M × N box. |
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| ISSN: | 1365-8050 1462-7264 1365-8050 |
| DOI: | 10.46298/dmtcs.6330 |