DOAJ Open Access 2020

Asymptotics of polygons in restricted geometries subject to a force

Nicholas Beaton Jeremy Eng Christine Soteros

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Nicholas Beaton

Jeremy Eng

Christine Soteros

Format Sitasi

APA MLA BibTeX

Beaton, N., Eng, J., Soteros, C. (2020). Asymptotics of polygons in restricted geometries subject to a force. https://doi.org/10.46298/dmtcs.6330

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6330

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6330
Akses: Open Access ✓