Superstatistical two-temperature Ising model.

@article{Cheraghalizadeh2021SuperstatisticalTI,
  title={Superstatistical two-temperature Ising model.},
  author={J. Cheraghalizadeh and M. A. Seifi and Zahra Ebadi and Hosein Mohammadzadeh and M N Najafi},
  journal={Physical review. E},
  year={2021},
  volume={103 3-1},
  pages={
          032104
        }
}
The previous approach of the nonequilibrium Ising model was based on the local temperature in which each site or part of the system has its own specific temperature. We introduce an approach of the two-temperature Ising model as a prototype of the superstatistic critical phenomena. The model is described by two temperatures (T_{1},T_{2}) in a zero magnetic field. To predict the phase diagram and numerically estimate the exponents, we develop the Metropolis and Swendsen-Wang Monte Carlo method… 
Fluctuations of water quality time series in rivers follow superstatistics
TLDR
Water quality time series as measured in rivers are investigated and evidence that they exhibit superstatistical behavior is provided, including a double peaked non-standard superstatistics for the electrical conductivity data, which is model using two combined χ2-distributions.
Spatio-temporal complexity of power-grid frequency fluctuations
Power-grid systems constitute one of the most complex man-made spatially extended structures. These operate with strict operational bounds to ensure synchrony across the grid. This is particularly
Super-statistics and quantum entanglement in the isotropic Heisenberg XY model from a non-additive thermodynamics perspective
In this paper, the impact of temperature fluctuations in the entanglement of two qubits described by the Heisenberg XY model is studied. To model the out-of-equilibrium situation, super-statistics is
Superstatistics and quantum entanglement in the isotropic spin-1/2 XX dimer from a nonadditive thermodynamics perspective.
TLDR
It is shown that the well-known parametrization may lead to undesirable values of the physical temperature so that by analyzing the entropy as a function of energy, the correct values are found.

References

SHOWING 1-10 OF 41 REFERENCES
The two-dimensional Ising model
In this thesis the equivalence of the two-dimensional critical classical Ising model in the scaling limit without a magnetic field, the (one-dimensional) critical quantum Ising chain in the scaling
Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics
I: INTRODUCTORY NOTIONS II: BIDIMENSIONAL LATTICE MODELS III: QUANTUM FIELD THEORY AND CONFORMAL VARIANCE IV: AWAY FROM CRITICALITY
Physica A: Statistical Mechanics and its Applications 322
  • 267
  • 2003
Phys
  • Rev. E 101, 032116
  • 2020
Physical Review E 101
  • 032116
  • 2020
  • Bollettino di Geofisica Teorica ed Applicata
  • 2019
Journal of Statistical Mechanics: theory and experiment
Physica Scripta 94
  • 095204
  • 2019
Physical Review E 100
  • 042132
  • 2019
and E
  • Papadimitriou, Bollettino di Geofisica Teorica ed Applicata 60
  • 2019
...
1
2
3
4
5
...