Szczegóły publikacji
Opis bibliograficzny
Kink movement on a periodic background / Tomasz Dobrowolski, Jacek GATLIK, Panayotis G. Kevrekidis // Physical Review. E ; ISSN 2470-0045. — Tytuł poprz.: Physical Review E, Statistical, nonlinear, and soft matter physics ; ISSN: 1539-3755. — 2025 — vol. 111 iss. 2 art. no. 024203, s. 024203-1–024203-18. — Bibliogr. s. 024203-17–024203-18, Abstr. — Publikacja dostępna online od: 2025-02-07
Autorzy (3)
- Dobrowolski Tomasz
- AGHGatlik Jacek
- Kevrekidis Panayotis G.
Dane bibliometryczne
| ID BaDAP | 158868 |
|---|---|
| Data dodania do BaDAP | 2025-04-10 |
| Tekst źródłowy | URL |
| DOI | 10.1103/PhysRevE.111.024203 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp | |
| Creative Commons | |
| Czasopismo/seria | Physical Review, E |
Abstract
The behavior of the kink in the sine-Gordon (sG) model in the presence of periodic inhomogeneity is studied. An ansatz is proposed that allows for the construction of a reliable effective model with two degrees of freedom. Effective models featuring very good agreement with the original field-theoretic partial differential equation are constructed, including in the nonperturbative region and for relativistic velocities. The numerical solutions of the sG model describing the evolution of the kink in the presence of a barrier as well as in the case of a periodic heterogeneity under the potential additional influence of a switched bias current and/or dissipation were obtained. The results of the field equation and the effective models were favorably compared. The effect of the choice of initial conditions in the field model on the agreement of the results with the effective model is also discussed.