Journal of Vibration Testing and System Dynamics
Statistics of Topological Defects in Finite OneDimensional Structures based on the Kibble Zurek Mechanism
Journal of Vibration Testing and System Dynamics 8(2) (2024) 173181  DOI:10.5890/JVTSD.2024.06.002
Vasileios Vachtsevanos, Hariton M. Polatoglou
Physics Department, Aristotle University of Thessaloniki,
Greece
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Abstract
The appearance of topological defects in the solid state is well observed and studied with the Kibble Zurek mechanism. However, the size of the systems and the effect that size has on the defect density is not yet properly studied and understood, as it is a problem of mathematical complexity. In this work, a number of simulations will be performed in order to see how the system's size affects the statistics of defects for different cooling rates. We have found that strange behaviors arise for specific sizes and cooling rates, which might hint at the existence of a correlation between the size and the defects. We also simulated the system for a variety of random flight sizes, in order to more accurately find the divergent behaviour and under which conditions it appears.
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