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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Statistics of Topological Defects in Finite One-Dimensional Structures based on the Kibble Zurek Mechanism

Journal of Vibration Testing and System Dynamics 8(2) (2024) 173--181 | 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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