Asymptotics of polygons in restricted geometries subject to a force - Archive ouverte HAL Access content directly
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2020

Asymptotics of polygons in restricted geometries subject to a force

Abstract

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.
Fichier principal
Vignette du fichier
final_109.pdf (278.67 Ko) Télécharger le fichier
Loading...

Dates and versions

hal-02173749 , version 1 (04-07-2019)

Identifiers

Cite

Nicholas R. Beaton, Jeremy Eng, Christine Soteros. Asymptotics of polygons in restricted geometries subject to a force. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6330⟩. ⟨hal-02173749⟩
31 View
437 Download

Altmetric

Share

Gmail Facebook X LinkedIn More