Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network

  Advanced Search  

Ground States for Large Samples of Two-dimensional Ising Spin Glasses

Summary: Ground States for Large Samples of
Two-dimensional Ising Spin Glasses
R.G. Palmer a Joan Adler a;b
a Department of Physics, Duke University
Durham, NC, 27708-0305, USA
b Department of Physics, Technion
Haifa, 32000, Israel
February 23, 1999
We have developed a combinatoric matching method to nd the
exact groundstate energy for the 2D Ising spin glass with the J
distribution and equal numbers of positive and negative bonds. For
the largest size (18001800 plaquettes of spins) we averaged results
from 278 samples and for the smaller ones from 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 nite size
scaling leading to a ground state energy estimate of E1 = 1:401932
for the in nite 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.


Source: Adler, Joan - Physics Department, Technion, Israel Institute of Technology


Collections: Physics