Small-world hypergraphs on a bond-disordered Bethe lattice

Details Small-world hypergraphs on a bond-disordered Bethe lattice Small-world hypergraphs on a bond-disordered Bethe lattice

2007-11-23

arxiv.org/abs/0711.3757v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

10.1103/PhysRevE.77.046104

We study the thermodynamic properties of spin systems with bond-disorder on small-world hypergraphs, obtained by superimposing a one-dimensional Ising chain onto a random Bethe graph with p-spin interactions. Using transfer-matrix techniques, we derive fixed-point equations describing the relevant order parameters and the free energy, both in the replica symmetric and one step replica symmetry breaking approximation. We determine the static and dynamic ferromagnetic transition and the spinglass transition within replica symmetry for all temperatures, and demonstrate corrections to these results when one step replica symmetry breaking is taken into account. The results obtained are in agreement with Monte-Carlo simulations.

Affiliated with

Also associated with

No associations

Rating

Small-world hypergraphs on a bond-disordered Bethe lattice 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 Small-world hypergraphs on a bond-disordered Bethe lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Small-world hypergraphs on a bond-disordered Bethe lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-363822