Deutsch
 
Hilfe Datenschutzhinweis Impressum
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT
  Energy-lowering and constant-energy spin flips: Emergence of the percolating cluster in the kinetic Ising model

de Azevedo-Lopes, A., Almeida, R. A. L., de Oliveira, P. M. C., & Arenzon, J. J. (2022). Energy-lowering and constant-energy spin flips: Emergence of the percolating cluster in the kinetic Ising model. Physical Review E, 106: 044105. doi:10.1103/PhysRevE.106.044105.

Item is

Basisdaten

einblenden: ausblenden:
Genre: Zeitschriftenartikel

Dateien

einblenden: Dateien
ausblenden: Dateien
:
PhysRevE.106.044105.pdf (Verlagsversion), 539KB
Name:
PhysRevE.106.044105.pdf
Beschreibung:
-
OA-Status:
Hybrid
Sichtbarkeit:
Öffentlich
MIME-Typ / Prüfsumme:
application/pdf / [MD5]
Technische Metadaten:
Copyright Datum:
-
Copyright Info:
-
Lizenz:
-

Externe Referenzen

einblenden:

Urheber

einblenden:
ausblenden:
 Urheber:
de Azevedo-Lopes, Amanda1, Autor                 
Almeida, Renan A. L., Autor
de Oliveira, Paulo Murilo C., Autor
Arenzon, Jeferson J., Autor
Affiliations:
1Department Evolutionary Theory (Traulsen), Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

Inhalt

einblenden:
ausblenden:
Schlagwörter: -
 Zusammenfassung: After a sudden quench from the disordered high-temperature T0→∞ phase to a final temperature well below the critical point TF≪Tc, the nonconserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a square lattice initially approaches the critical percolation state before entering the coarsening regime. This approach involves two timescales associated with the first appearance (at time tp1>0) and stabilization (at time tp>tp1) of a giant percolation cluster, as previously reported. However, the microscopic mechanisms that control such timescales are not yet fully understood. In this paper, to study their role on each time regime after the quench (TF=0), we distinguish between spin flips that decrease the total energy of the system from those that keep it constant, the latter being parametrized by the probability p. We show that observables such as the cluster size heterogeneity H(t,p) and the typical domain size ℓ(t,p) have no dependence on p in the first time regime up to tp1. Furthermore, when energy-decreasing flips are forbidden while allowing constant-energy flips, the kinetics is essentially frozen after the quench and there is no percolation event whatsoever. Taken together, these results indicate that the emergence of the first percolating cluster at tp1 is completely driven by energy decreasing flips. However, the time for stabilizing a percolating cluster is controlled by the acceptance probability of constant-energy flips: tp(p)∼p−1 for p≪1 (at p=0, the dynamics gets stuck in a metastable state). These flips are also the relevant ones in the later coarsening regime where dynamical scaling takes place. Because the phenomenology on the approach to the percolation point seems to be shared by many 2D systems with a nonconserved order parameter dynamics (and certain cases of conserved ones as well), our results may suggest a simple and effective way to set, through the dynamics itself, tp1 and tp in such systems.

Details

einblenden:
ausblenden:
Sprache(n): eng - English
 Datum: 2022-06-022022-09-142022-10-05
 Publikationsstatus: Online veröffentlicht
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: DOI: 10.1103/PhysRevE.106.044105
 Art des Abschluß: -

Veranstaltung

einblenden:

Entscheidung

einblenden:

Projektinformation

einblenden:

Quelle 1

einblenden:
ausblenden:
Titel: Physical Review E
  Andere : Phys. Rev. E
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Melville, NY : American Physical Society
Seiten: - Band / Heft: 106 Artikelnummer: 044105 Start- / Endseite: - Identifikator: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012