1,169 research outputs found
Dynamical frustration in ANNNI model and annealing
Zero temperature quench in the Axial Next Nearest Neighbour Ising (ANNNI)
model fails to bring it to its ground state for a certain range of values of
the frustration parameter , the ratio of the next nearest neighbour
antiferromagnetic interaction strength to the nearest neighbour one. We apply
several annealing methods, both classical and quantum, and observe that the
behaviour of the residual energy and the order parameter depends on the value
of strongly. Classical or thermal annealing is found to be adequate
for small values of .
However, neither classical nor quantum annealing is effective at values of
close to the fully frustrated point , where the residual
energy shows a very slow algebraic decay with the number of MCS.Comment: 6 pages,10 figures, to be published in Proceedings of " The
International Workshop on Quantum annealing and other Optimization Methods
Ising model in small-world networks
The Ising model in small-world networks generated from two- and
three-dimensional regular lattices has been studied. Monte Carlo simulations
were carried out to characterize the ferromagnetic transition appearing in
these systems. In the thermodynamic limit, the phase transition has a
mean-field character for any finite value of the rewiring probability p, which
measures the disorder strength of a given network. For small values of p, both
the transition temperature and critical energy change with p as a power law. In
the limit p -> 0, the heat capacity at the transition temperature diverges
logarithmically in two-dimensional (2D) networks and as a power law in 3D.Comment: 6 pages, 7 figure
Recommended from our members
Differential insecticide efficacy for control of root weevils on Euonymus
- …