Chaotic spin correlations in frustrated Ising hierarchical lattices

被引：16

作者：

Aral, Nese ^{[1
]}

Berker, A. Nihat ^{[1
,2
,3
]}

机构：

[1] Koc Univ, Coll Arts & Sci, TR-34450 Istanbul, Turkey

[2] MIT, Dept Phys, Cambridge, MA 02139 USA

[3] TUBITAK Bosphorus Univ, Feza Gursey Res Inst, TR-34684 Istanbul, Turkey

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 01期

关键词：

chaos; entropy; free energy; frustration; Ising model; Lyapunov methods; recursion method; renormalisation; RENORMALIZATION; SYSTEMS; ORDER;

D O I：

10.1103/PhysRevB.79.014434

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the near correlations, are sensitive to small changes in temperature or frustration, with temperature changes having a larger effect. On the other hand, the calculated free energy, internal energy, and entropy are smooth functions of temperature. The recursion-matrix calculation of thermodynamic densities in a chaotic band is demonstrated. The leading Lyapunov exponents are calculated as a function of frustration.

引用

页数：4

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