Ground states for large samples of two-dimensional Ising spin glasses
Publication
, Journal Article
Palmer, RG; Adler, J
Published in: International Journal of Modern Physics C
January 1, 1999
We have developed a combinatoric matching method to find the exact groundstate energy for the 2-D Ising spin glass with the ±J distribution and equal numbers of positive and negative bonds. For the largest size (1800 × 1800 plaquettes of spins), we averaged results from 278 samples and for the smaller ones up to 374, 375 samples. We also studied the behavior of the distributions of computer time (CPU) and memory as functions of sample size. We present finite size scaling leading to a groundstate energy estimate of E∞ = -1.40193 ± 2 for the infinite system. We found that the memory scales as the square of sample length and that for a given size, the CPU time appears to have a skewed and high-tailed distribution.
Duke Scholars
Published In
International Journal of Modern Physics C
DOI
ISSN
0129-1831
Publication Date
January 1, 1999
Volume
10
Issue
4
Start / End Page
667 / 675
Related Subject Headings
- Fluids & Plasmas
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Palmer, R. G., & Adler, J. (1999). Ground states for large samples of two-dimensional Ising spin glasses. International Journal of Modern Physics C, 10(4), 667–675. https://doi.org/10.1142/S0129183199000504
Palmer, R. G., and J. Adler. “Ground states for large samples of two-dimensional Ising spin glasses.” International Journal of Modern Physics C 10, no. 4 (January 1, 1999): 667–75. https://doi.org/10.1142/S0129183199000504.
Palmer RG, Adler J. Ground states for large samples of two-dimensional Ising spin glasses. International Journal of Modern Physics C. 1999 Jan 1;10(4):667–75.
Palmer, R. G., and J. Adler. “Ground states for large samples of two-dimensional Ising spin glasses.” International Journal of Modern Physics C, vol. 10, no. 4, Jan. 1999, pp. 667–75. Scopus, doi:10.1142/S0129183199000504.
Palmer RG, Adler J. Ground states for large samples of two-dimensional Ising spin glasses. International Journal of Modern Physics C. 1999 Jan 1;10(4):667–675.
Published In
International Journal of Modern Physics C
DOI
ISSN
0129-1831
Publication Date
January 1, 1999
Volume
10
Issue
4
Start / End Page
667 / 675
Related Subject Headings
- Fluids & Plasmas
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences