Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model Full article
| Journal |
EPL
ISSN: 0295-5075 , E-ISSN: 1286-4854 |
||
|---|---|---|---|
| Output data | Year: 2019, Volume: 128, Number: 2, Pages: 26002 Pages count : 1 DOI: 10.1209/0295-5075/128/26002 | ||
| Tags | Dynamic critical phenomena. Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.). Monte Carlo methods | ||
| Authors |
|
||
| Affiliations |
|
Funding (6)
| 1 | Russian Foundation for Basic Research | 18-32-00814 |
| 2 | Russian Foundation for Basic Research | 20-32-70189 |
| 3 | Russian Foundation for Basic Research | 17-12-00279 |
| 4 | Russian Foundation for Basic Research | 18-42-550003 |
| 5 | Совет по грантам Президента РФ | МД-4349.2018.2 |
| 6 | Совет по грантам Президента РФ | МД-6868.2018.2 |
Abstract:
The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in cores of spin vortices. We revealed the effect of "inertial" growth of the clusters in coarsening dynamic regime. The calculated transverse stiffness $\rho(p,T)$ as a function of temperature T and spin concentration p of the system in the high-temperature phase $T>T_{\text{BKT}}(p)$ becomes negative and it is described by a power law $\rho(p,T) \sim T^{-\kappa}$ with temperature-independent exponent $\kappa=\kappa(p)$ . The dynamical scaling leads to the dynamic dependence of the correlation length $\xi \sim (t / \ln^{q} (t/t_{0}))^{1/z}$ which can be explained by a shift of the spin vortices friction constant γ induced by annealed disorder.
Cite:
Popov I.S.
, Popova A.P.
, Prudnikov P.V.
Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model
EPL. 2019. V.128. N2. P.26002. DOI: 10.1209/0295-5075/128/26002 Scopus РИНЦ OpenAlex
Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model
EPL. 2019. V.128. N2. P.26002. DOI: 10.1209/0295-5075/128/26002 Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Aug 1, 2019 |
| Accepted: | Oct 28, 2019 |
| Published online: | Jan 3, 2020 |
Identifiers:
| Scopus: | 2-s2.0-85081363351 |
| Elibrary: | 43253697 |
| OpenAlex: | W3104012130 |