Energy landscape of the finite-size spherical three-spin glass model

被引：26

作者：

Mehta, Dhagash ^{[1
]}

Stariolo, Daniel A. ^{[2
,3
]}

Kastner, Michael ^{[4
,5
]}

机构：

[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA

[2] Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil

[3] Natl Inst Sci & Technol Complex Syst, BR-91501970 Porto Alegre, RS, Brazil

[4] Univ Stellenbosch, Inst Theoret Phys, ZA-7600 Stellenbosch, South Africa

[5] Natl Inst Theoret Phys NITheP, ZA-7600 Stellenbosch, South Africa

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

STATIONARY-POINTS; SADDLE-POINTS; DYNAMICS; LIQUIDS;

D O I：

10.1103/PhysRevE.87.052143

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the three-spin spherical model with mean-field interactions and Gaussian random couplings. For moderate system sizes of up to 20 spins, we obtain all stationary points of the energy landscape by means of the numerical polynomial homotopy continuation method. On the basis of these stationary points, we analyze the complexity and other quantities related to the glass transition of the model and compare these finite-system quantities to their exact counterparts in the thermodynamic limit.

引用

页数：9

共 32 条

[1] End of aging as a probe of finite-size effects near the spin-glass transition temperature
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PHYSICAL REVIEW B, 2018, 98 (10)
[2] Energy landscape of a spin-glass model: Exploration and characterization
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[3] Turbulence modulation by finite-size spherical particles in Newtonian and viscoelastic fluids
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[5] Finite-size scaling for the glass transition: The role of a static length scale
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[8] Controlling measurement-induced nonlocality in the Heisenberg XX model by three-spin interactions
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[10] Anisotropic Mean Flow Enhancement and Anomalous Transport of Finite-Size Spherical Particles in Turbulent Flows
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