Random field Ising systems on a general hierarchical lattice: rigorous inequalities.

@article{Efrat2001RandomFI,
  title={Random field Ising systems on a general hierarchical lattice: rigorous inequalities.},
  author={Avishay Efrat and Moshe Schwartz},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={63 3 Pt 2},
  pages={
          036124
        }
}
  • A. Efrat, M. Schwartz
  • Published 2 January 2001
  • Computer Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Random Ising systems on a general hierarchical lattice with both random fields and random bonds are considered. Rigorous inequalities between eigenvalues of the Jacobian renormalization matrix at the pure fixed point are obtained. These inequalities lead to upper bounds on the crossover exponents [phi(i)]. 
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Figures from this paper

Numerical study of the three-dimensional random-field Ising model at zero and positive temperature
In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling

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