Dynamical Scaling in Time dependence of Correlation Length in Non-equilibrium Critical Relaxation of Pure and Site-diluted 2D XY-model

Popov, Ivan S.; Popova, Anna P.; Прудников, П. В.; Прудников, В. В.

doi:10.1088/1742-6596/1163/1/012042

Cited by 2 publications

(2 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Existing works (see references in [10][11][12][13][14][15][16]) are focused on the influence of quenched disorder on the critical behavior. The spin mobility and impurity annealing are taken into account for the description of granular superconductors [17,18], high-temperature bulk superconductors [19], two-dimensional superfluids [20] and the superfluid transition of helium in porous media [21] by the twodimensional XY-model.…”

mentioning

confidence: 99%

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

Popov¹,

Popova²,

Прудников³

2020

EPL

View full text Add to dashboard Cite

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 ρ(p, T ) as a function of temperature T and spin concentration p of the system in the high-temperature phase T > TBKT(p) becomes negative and it is described by a power law ρ(p, T ) ∼ T −κ with temperatureindependent exponent κ = κ(p). The dynamical scaling leads to the dynamic dependence of the correlation length ξ ∼ (t/ ln q (t/t0)) 1/z which can be explained by a shift of the spin vortices friction constant γ induced by annealed disorder.

show abstract

mentioning

confidence: 99%

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

Popov¹,

Popova²,

Прудников³

2020

EPL

View full text Add to dashboard Cite

show abstract

“…Existing works (see refs. in [10][11][12][13][14][15][16]) are focused on the influence of quenched disorder on the critical behavior. The spin mobility and impurity annealing had to take into account for description of granular superconductors [17,18], high-temperature bulk superconductors [19],…”

mentioning

confidence: 99%

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model

Popov,

Popova,

Prudnikov

2018

Preprint

View full text Add to dashboard Cite

The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in a cores of spin vortices. We revealed the effect of "inertial" growth of the clusters in coarsening dynamic regime. The calculated transverse stiffness ρ(p, T ) of the system in the high-temperature phase T > TBKT(p) becomes negative and has described by a power low ρ(p, T ) ∼ T −κ with temperature independent exponent κ = κ(p). The dynamical scaling lead to the dynamic dependence of the correlation length ξ ∼ (t/ ln q (t/t0)) 1/z which can be explained by a shift of spin vortices friction constant γ induced by annealed disorder.

show abstract

Dynamical Scaling in Time dependence of Correlation Length in Non-equilibrium Critical Relaxation of Pure and Site-diluted 2D XY-model

Cited by 2 publications

References 41 publications

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of the two-dimensional XY-model

Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model

Contact Info

Product

Resources

About