Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-06-30
Physics
Condensed Matter
Disordered Systems and Neural Networks
9 pages, 13 figures
Scientific paper
We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations of the quenched disorder decaying proportional to r^a, where r is the distance between two lattice sites and a<0. To obtain exact ground states, we use a well established mapping to the graph-theoretical maximum-flow problem, which allows us to study large system sizes of more than two million spins. We use finite-size scaling analyses for values a={-1,-2,-3,-7} to calculate the critical point and the critical exponents characterizing the behavior of the specific heat, magnetization, susceptibility and of the correlation length close to the critical point. We find basically the same critical behavior as for the RFIM with delta-correlated disorder, except for the finite-size exponent of the susceptibility and for the case a=-1, where the results are also compatible with a phase transition at infinitesimal disorder strength. A summary of this work can be found at the papercore database at www.papercore.org.
Ahrens Björn
Hartmann Alexander K.
No associations
LandOfFree
Critical behavior of the Random-Field Ising Magnet with long range correlated disorder 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 Critical behavior of the Random-Field Ising Magnet with long range correlated disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of the Random-Field Ising Magnet with long range correlated disorder will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-35335