Numerical results for the two-dimensional random-bond three-state Potts model.

@article{Picco1996NumericalRF,
  title={Numerical results for the two-dimensional random-bond three-state Potts model.},
  author={Picco},
  journal={Physical review. B, Condensed matter},
  year={1996},
  volume={54 21},
  pages={
          14930-14933
        }
}
  • Picco
  • Published 9 July 1995
  • Physics, Medicine
  • Physical review. B, Condensed matter
We present results of a numerical simulation of the 3-state Potts model with random bond, in two dimension. In particular, we measure the critical exponent associated to the magnetization and the specific heat. We also compare these exponents with recent analytical computations. 
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References

SHOWING 1-10 OF 14 REFERENCES
Spin Glass Theory and Beyond
This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular…
Annual Reviews of Computational Physics World Scientific
  • Annual Reviews of Computational Physics World Scientific
  • 1994
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1994
Nucl. Phys
  • Nucl. Phys
  • 1990
Nucl. Phys. B344
  • Nucl. Phys. B344
  • 1990
Physica A
  • Physica A
  • 1990
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1988
Nucl. Phys. B285 Nucl. Phys. B285
  • Nucl. Phys. B285 Nucl. Phys. B285
  • 1987
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1987
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1987
...
1
2
...