量化弱各向异性二维临界系统中的非普遍角自由能贡献

IF 2.4 3区 物理与天体物理 Q1 Mathematics
Florian Kischel, Stefan Wessel
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引用次数: 0

摘要

我们推导出矩形域上伊辛普遍性类弱各向异性二维临界系统角自由能贡献的精确公式,该公式用指定各向异性波动的量来表示。由此得到的表达式与我们对各向异性三角形伊辛模型进行的数值精确计算一致,并量化了各向异性临界二维系统角项的非普遍性。我们的通用公式预计也适用于其他弱各向异性临界二维系统,这些系统允许在各向同性极限中进行共形场论描述。我们将三态和四态波茨模型作为进一步的具体例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Quantifying nonuniversal corner free-energy contributions in weakly anisotropic two-dimensional critical systems

Quantifying nonuniversal corner free-energy contributions in weakly anisotropic two-dimensional critical systems
We derive an exact formula for the corner free-energy contribution of weakly anisotropic two-dimensional critical systems in the Ising universality class on rectangular domains, expressed in terms of quantities that specify the anisotropic fluctuations. The resulting expression agrees with numerical exact calculations that we perform for the anisotropic triangular Ising model and quantifies the nonuniversality of the corner term for anisotropic critical two-dimensional systems. Our generic formula is expected to apply also to other weakly-anisotropic critical two-dimensional systems that allow for a conformal field theory description in the isotropic limit. We consider the three-states and four-states Potts models as further specific examples.
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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