Thermodynamics of Mesoscopic Vortex Systems in 1+1 Dimensions
Chen Zeng (Rutgers), Paul L. Leath (Rutgers), and Terence Hwa (UCSD)
TL;DR
This paper investigates the thermodynamics of disordered vortex arrays in 1+1 dimensions using a novel algorithm, revealing behaviors near the glass transition and universal susceptibility statistics.
Contribution
Introduces a new polynomial algorithm for studying vortex thermodynamics, enabling analysis near glass transition without slow dynamics.
Findings
Vortex displacement matches renormalization-group predictions near glass transition
Universal statistics observed in magnetic susceptibility variations
Behavior consistent across dense and dilute regimes
Abstract
The thermodynamics of a disordered planar vortex array is studied numerically using a new polynomial algorithm which circumvents slow glassy dynamics. Close to the glass transition, the anomalous vortex displacement is found to agree well with the prediction of the renormalization-group theory. Interesting behaviors such as the universal statistics of magnetic susceptibility variations are observed in both the dense and dilute regimes of this mesoscopic vortex system.
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