Thermodynamics of Mesoscopic Vortex Systems in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>+</mo><mn>1</mn></math></span> Dimensions

Chen Zeng; P. L. Leath; Terence Hwa

doi:10.1103/PhysRevLett.83.4860

Thermodynamics of Mesoscopic Vortex Systems in $1 + 1$ Dimensions

Chen Zeng, P. L. Leath, and Terence Hwa

Phys. Rev. Lett. 83, 4860 – Published 6 December 1999

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.

Received 14 September 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.4860

Authors & Affiliations

Chen Zeng¹, P. L. Leath¹, and Terence Hwa^2,*

¹Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854
²Center for Study in Physics and Biology, Rockefeller University, New York, New York 10021