# Uncovering the secrets of the 2D random-bond Blume–Capel model

@article{Malakis2010UncoveringTS, title={Uncovering the secrets of the 2D random-bond Blume–Capel model}, author={A. Malakis and A. Berker and I. Hadjiagapiou and N. G. Fytas and T. Papakonstantinou}, journal={Physica A-statistical Mechanics and Its Applications}, year={2010}, volume={389}, pages={2930-2933} }

The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume–Capel (BC) model are discussed. The calculation of ground states at strong disorder and large values of the crystal field is carried out by mapping the system onto a network and we search for a minimum cut by a maximum flow method. At finite temperatures the system is studied by an efficient two-stage Wang–Landau (WL) method for several values of the… Expand

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SHOWING 1-10 OF 49 REFERENCES

Strong violation of critical phenomena universality: Wang-Landau study of the two-dimensional Blume-Capel model under bond randomness.

- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2009

Quenched bond randomness in marginal and non-marginal Ising spin models in 2D

- Physics, Mathematics
- 2008

Rounding of first-order phase transitions in systems with quenched disorder.

- Physics, Medicine
- Physical review letters
- 1989

Quantum-mechanically induced asymmetry in the phase diagrams of spin-glass systems.

- Physics, Medicine
- Physical review letters
- 2008

Critical behavior of the two-dimensional random q-state Potts model by expansion in (q − 2)

- Physics
- 1987

Wang-Landau Monte Carlo simulation of the Blume-Capel model.

- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2006