Pré-Publication, Document De Travail Année : 2025

Phase diagram of the interacting partially directed self-avoiding walk attracted by a vertical wall

Elric Angot
  • Fonction : Auteur
  • PersonId : 1501996

Résumé

In the present paper, we consider the interacting partially-directed self-avoiding walk (IPDSAW) attracted by a vertical wall. The IPDSAW was introduced by Zwanzig and Lauritzen (J. Chem. Phys., 1968) as a manner of investigating the collapse transition of a homopolymer dipped in a repulsive solvent. We prove in particular that a surface transition occurs inside the collapsed phase between (i) a regime where the attractive vertical wall does not influence the geometry of the polymer and (ii) a regime where the polymer is partially attached at the wall on a length that is comparable to its horizontal extension, modifying its asymptotic Wulff shape. The latter rigorously confirms the conjecture exposed by physicists in (Physica A: Stat. Mech. \& App., 2002). We push the analysis even further by providing sharp asymptotics of the partition function inside the collapsed phase.
Fichier principal
Vignette du fichier
SAG.pdf (1) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04928730 , version 1 (05-02-2025)

Identifiants

  • HAL Id : hal-04928730 , version 1

Citer

Elric Angot, Nicolas Pétrélis, Julien Poisat. Phase diagram of the interacting partially directed self-avoiding walk attracted by a vertical wall. 2025. ⟨hal-04928730⟩
0 Consultations
0 Téléchargements

Partager

More