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Phase transition calculations for the Axial Nearest-Next-Neighbor Ising model (Bethe Lattice) with competing interactions

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annni-phase-trans-py

Phase transition calculations for the Axial Nearest-Next-Neighbor Ising model (Bethe Lattice) with competing interactions

References

  • CSO Yokoi, MJ Oliveira, SR Salinas (1985): Strange Attractor in the Ising Model with Competing Interactions on the Cayley Tree. Phys. Rev. Lett. 54: 163--166. DOI: 10.1103/PhysRevLett.54.163
  • MHR Tragtenberg, CS Yokoi (1995): Field behavior of an Ising model with competing interactions on the Bethe lattice. Phys Rev E 52:2187--2197. DOI: 10.1103/physreve.52.2187
  • O Kinouchi, MHR Tragtenberg (1996): Modeling Neurons by Simple Maps. Int. J. Bif. Chaos 6: 2343--2360. DOI: 10.1142/S0218127496001508
  • M Girardi-Schappo, MHR Tragtenberg, O Kinouchi (2013): A brief history of excitable map-based neurons and neural networks. J Neurosci Methods 220: 116--130. DOI: 10.1016/j.jneumeth.2013.07.014
  • M Girardi-Schappo, GS Bortolotto, RV Stenzinger, JJ Gonsalves, MHR Tragtenberg (2017): Phase diagrams and dynamics of a computationally efficient map-based neuron model. PLoS One 12: e0174621. DOI: 10.1371/journal.pone.0174621

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Phase transition calculations for the Axial Nearest-Next-Neighbor Ising model (Bethe Lattice) with competing interactions

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