Vortex corrections to universal scaling of magnetic fluctuations in 2D XY model
Peter Holdsworth, Mauro Sellitto
TL;DR
This paper investigates how vortex contributions affect the probability distribution of magnetization fluctuations in finite 2D XY systems near the Kosterlitz-Thouless transition, highlighting their role in rare, large deviations.
Contribution
It provides a detailed analysis of vortex effects on magnetization fluctuation distributions close to the transition temperature.
Findings
Vortex contributions are significant mainly for rare, large fluctuations.
Vortices increase the likelihood of fluctuations exceeding four standard deviations.
The relevance of vortices is limited to rare events near the transition temperature.
Abstract
The vortex contribution to the probability density function of longitudinal magnetization fluctuations is examined in finite 2D XY systems close to the Kosterlitz-Thouless-Berezinskii transition temperature. Within the temperature range studied their relevance is limited to rare fluctuations, where they increase the probability of events exceeding four standard deviations below the mean magnetization.
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