Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line

Details Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line

2008-11-04

arxiv.org/abs/0811.0423v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13pages. Submitted to J. Phys. Soc. Jpn

Scientific paper

The Griffiths inequalities for Ising spin glasses are proved on the Nishimori line with various bond randomness which includes Gaussian and $\pm J$ bond randomness. The proof for Ising systems with Gaussian bond randomness has already been carried out by Morita et al, which uses not only the gauge theory but also the properties of the Gaussian distribution, so that it cannot be directly applied to the systems with other bond randomness. The present proof essentially uses only the gauge theory, so that it does not depend on the detail properties of the probability distribution of random interactions. Thus, the results obtained from the inequalities for Ising systems with Gaussian bond randomness do also hold for those with various bond randomness, especially with $\pm J$ bond randomness.

Affiliated with

Also associated with

No associations

Rating

Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Griffiths Inequalities for Ising Spin Glasses on the Nishimori Line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183772