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Superstatistical two-temperature Ising model.

J Cheraghalizadeh1, M Seifi1, Z Ebadi1

  • 1Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran.

Physical Review. E
|April 17, 2021
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Summary
This summary is machine-generated.

This study introduces a two-temperature Ising model to explore superstatistic critical phenomena. It reveals a critical line separating phases, with all points belonging to the ordinary Ising universality class.

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Area of Science:

  • Statistical physics
  • Condensed matter physics

Background:

  • Previous nonequilibrium Ising models relied on local temperatures.
  • Superstatistic critical phenomena require advanced modeling.

Purpose of the Study:

  • Introduce a two-temperature Ising model for superstatistic critical phenomena.
  • Predict the phase diagram and estimate critical exponents.
  • Analyze the universality class of the critical line.

Main Methods:

  • Developed Metropolis and Swendsen-Wang Monte Carlo methods.
  • Simulated the two-temperature Ising model in zero magnetic field.
  • Derived an analytic equation for the critical line.

Main Results:

  • Observed a nontrivial critical line separating ordered and disordered phases.
  • Confirmed all points on the critical line belong to the ordinary Ising universality class.
  • Provided numerical estimations for critical exponents.

Conclusions:

  • The two-temperature Ising model effectively describes superstatistic critical phenomena.
  • The critical line exhibits characteristics of the ordinary Ising universality class.
  • The proposed analytic equation accurately represents the phase diagram's critical line.