### 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 language | English |
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Pages (from-to) | 60-66 |

Number of pages | 7 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 233 |

Issue number | 1-2 |

Publication status | Published - Nov 15 1996 |

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### Keywords

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

### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

**The ground state of the cubic spin glass with short-range interactions of Gaussian distribution.** / Pál, K.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 233, no. 1-2, pp. 60-66.

}

TY - JOUR

T1 - The ground state of the cubic spin glass with short-range interactions of Gaussian distribution

AU - Pál, K.

PY - 1996/11/15

Y1 - 1996/11/15

N2 - 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.

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.

KW - Genetic algorithm

KW - Ground state

KW - Ising spin glass

KW - Local optimization

UR - http://www.scopus.com/inward/record.url?scp=0030289796&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030289796&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030289796

VL - 233

SP - 60

EP - 66

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1-2

ER -