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arXiv 0709.4658cond-mat.dis-nncond-mat.stat-mech
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三维随机场XY模型的结构因子

Structure Factor of the 3D Random Field XY Model

Ronald Fisch

摘要:

我们用Monte Carlo方法研究了$h_r$ = 1和2的随机场强度的$L \times L \times L$简单立方晶格上的三维随机场XY模型。我们目前的结果的角度平均磁结构因子,$S (k)$在$L = 64$。我们的结果似乎表明一个相变到铁磁状态。这是由于格里菲斯奇点的存在。看来,在相变$M^2$跳跃到零不连续,与潜热,这可能是subextensive。

英文摘要:

We have performed Monte Carlo studies of the 3D random field XY model on $L \times L \times L$ simple cubic lattices, with random field strengths of $h_r$ = 1 and 2. We present results for the angle-averaged magnetic structure factor, $S (k)$ at $L = 64$. Our results appear to indicate a phase transition into a ferromagnetic state. This is made possible by the existence of a Griffiths singularity. It appears that at the phase transition $M^2$ jumps to zero discontinuously, with a latent heat which is probably subextensive.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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