Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-Tc Superconductors
Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-Tc Superconductors
复制标题
液氦、宇宙弦和高温超导体中的涡环相变
DOI：
10.1103/physrevlett.82.1201
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发表时间：
1998
影响因子：
8.6
通讯作者：
G. Williams
中科院分区：
文献类型：
--
作者：
G. Williams
用重整化理论计算了超流体相变附近热激发涡环的分布。研究发现，给定周长的圈数密度随周长的增大而由指数衰减变为代数衰减，这与最近对宇宙弦和高T_c超导体的模拟结果一致。数值模拟结果证实了T_c处代数衰变指数和涡旋密度临界行为的预测，有力地支持了Sheroy提出的旋涡折叠模型。
The distribution of thermally excited vortex loops near a superfluid phase transition is calculated from a renormalized theory. The number density of loops with a given perimeter is found to change from exponential decay with increasing perimeter to algebraic decay as T_c is approached, in agreement with recent simulations of both cosmic strings and high-T_c superconductors. Predictions of the value of the exponent of the algebraic decay at T_c and of critical behavior in the vortex density are confirmed by the simulations, giving strong support to the vortex-folding model proposed by Shenoy.