Ising团簇的场论
Field theory of Ising percolating clusters
摘要:
二维伊辛铁磁体的上自旋团簇在居里点以上经历二级相变。我们表明,在标度极限的渗流阈值描述的可积场论,并确定非微扰机制,允许在热力学奇异性的情况下的相变。分析扩展到Kertesz线沿Coniglio-Klein液滴渗透在一个积极的磁场。
英文摘要:
The clusters of up spins of a two-dimensional Ising ferromagnet undergo a second order percolative transition at temperatures above the Curie point. We show that in the scaling limit the percolation threshold is described by an integrable field theory and identify the non-perturbative mechanism which allows the percolative transition in absence of thermodynamic singularities. The analysis is extended to the Kertesz line along which the Coniglio-Klein droplets percolate in a positive magnetic field.
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