# 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…

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## References

SHOWING 1-10 OF 36 REFERENCES

The two-dimensional Ising model

- PhysicsFrom Quarks to Pions
- 2018

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

- Physics
- 2009

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

Physica Scripta 94

- 095204
- 2019

Physical Review E 100

- 042132
- 2019

and E

- Papadimitriou, Bollettino di Geofisica Teorica ed Applicata 60
- 2019

Journal of Physics A: Mathematical and Theoretical 51

- 175001
- 2018