The ground state of the cubic spin glass with short-range interactions of Gaussian distribution

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Abstract

Ground states of the three-dimensional Edwards-Anderson spin glass with exchange interactions of Gaussian distribution were determined with a hybrid of genetic algorithm and local optimization. Large samples were considered between linear sizes of 3 and 10 to determine the average ground state energies accurately. The results follow a linear dependence on 1/volume quite accurately. The extrapolated value for the ground state energy per spin for the infinite system is -1.7003 ± 0.0008.

Original languageEnglish
Pages (from-to)60-66
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Volume233
Issue number1-2
Publication statusPublished - Nov 15 1996

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Ground State Energy
Spin Glass
normal density functions
spin glass
Ground State
Gaussian distribution
Exchange Interaction
Linear dependence
Local Optimization
ground state
Infinite Systems
Interaction
Range of data
Genetic Algorithm
interactions
genetic algorithms
Three-dimensional
optimization
energy

Keywords

  • Genetic algorithm
  • Ground state
  • Ising spin glass
  • Local optimization

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

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abstract = "Ground states of the three-dimensional Edwards-Anderson spin glass with exchange interactions of Gaussian distribution were determined with a hybrid of genetic algorithm and local optimization. Large samples were considered between linear sizes of 3 and 10 to determine the average ground state energies accurately. The results follow a linear dependence on 1/volume quite accurately. The extrapolated value for the ground state energy per spin for the infinite system is -1.7003 ± 0.0008.",
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AB - Ground states of the three-dimensional Edwards-Anderson spin glass with exchange interactions of Gaussian distribution were determined with a hybrid of genetic algorithm and local optimization. Large samples were considered between linear sizes of 3 and 10 to determine the average ground state energies accurately. The results follow a linear dependence on 1/volume quite accurately. The extrapolated value for the ground state energy per spin for the infinite system is -1.7003 ± 0.0008.

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KW - Local optimization

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