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Domain Walls and Shape Dependence in the Two-Dimensional Ising-Model Critical Region

机译：二维Ising模型临界区域中的畴壁和形状依赖性

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摘要

Ferdinand and Fisher have discovered some unusual lattice shape effects on the finite size induced heat peak shift in the two dimensional Ising model critical region. It is shown that they are well approximated by keeping only the two largest eigenvalues of the transfer matrix, and may be expressed entirely in terms of a one-dimensional Ising array of domain walls. Approximate expressions for the effective coupling and number of spins are given. It is also pointed out that in general domain walls should be thermodynamically important for such finite-size effects. Keywords: Surface phase transition; Ising model; Finite size effects; Reprints.

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作者
Kleban, P.; Akinci, G.;
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年度 1983
页码 p.1-5
总页数 5
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Domain walls; Phase transformations; Crystal structure; Eigenvalues; Ferromagnetic materials; Models; Reprints; Shape; Surfaces; Lattice dynamics; Surface chemistry; Specific heat; Matrices(Mathematics); Transfer functions;

机译：畴壁;相变;晶体结构;特征值;铁磁材料;模型;重印;形状;表面;晶格动力学;表面化学;比热;矩阵（数学）;传递函数;

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1. Spin-reorientation critical dynamics in the two-dimensional XY model with a domain wall [J] . Physical review, E . 2019,第2aPta1期

机译：域墙二维XY模型中的旋转重新定向临界动态
2. Critical exponents of domain walls in the two-dimensional Potts model [J] . Dubail J., Jacobsen J.L., Saleur H. Journal of physics, A. Mathematical and theoretical . 2010,第48期

机译：二维Potts模型中畴壁的临界指数
3. In-plane magnetic anisotropy dependence of critical current density, Walker field and domain-wall velocity in a stripe with perpendicular anisotropy [J] . P. E. Roy, J. Wunderlich Applied Physics Letters . 2011,第12期

机译：垂直各向异性带中的临界电流密度，沃克场和畴壁速度与面内磁各向异性的关系
4. ISING-MODEL DESCRIPTION OF QUANTUM CRITICAL POINTS IN 1D ELECTRON AND SPIN SYSTEMS [C] . A. A. Nersesyan, A. A. Nersesyan, NATO NATO advanced study conference on new theoretical approaches to strongly correlated systems . 2001

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5. The Domain Dependence of Chemotaxis in a Two-Dimensional Turbulent Flow. [D] . Jones, Kimberly. 2015

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6. Wall mechanics and exocytosis define the shape of growth domains in fission yeast [O] . Juan F. Abenza, Etienne Couturier, James Dodgson, -1

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7. Dynamical scaling, domain-growth kinetics, and domain-wall shapes of quenched two-dimensional anisotropic XY models [O] . Mouritsen Ole G., Praestgaard Eigil 1988

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8. Boundary Shape Identification Problems in Two-Dimensional Domains Related to Thermal Testing of Materials [R] . Banks, H. T., Kojima, F. 1988

机译：与材料热测试相关的二维域边界形状识别问题

Domain Walls and Shape Dependence in the Two-Dimensional Ising-Model Critical Region

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