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Related Experiment Videos

Damage spreading in small world Ising models.

Pontus Svenson1, Desmond A Johnston

  • 1Institute for Theoretical Physics, Chalmers University of Technology and Göteborg University, SE-412 96, Gothenburg, Sweden. tfkps@fy.chalmers.hw.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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Damage spreading in the ferromagnetic Ising model is sensitive to network structure. Small world networks show distinct damage spreading behavior compared to regular lattices, impacting social system modeling.

Area of Science:

  • Statistical Mechanics
  • Complex Networks
  • Computational Physics

Background:

  • The ferromagnetic Ising model is a fundamental tool for studying magnetism and phase transitions.
  • Small world networks exhibit unique topological properties, bridging regular lattices and random networks.
  • Damage spreading phenomena provide insights into system stability and information propagation.

Purpose of the Study:

  • To investigate damage spreading in the ferromagnetic Ising model on small world networks.
  • To determine the damage spreading temperature (Td) as a function of rewiring probability (p).
  • To compare the behavior on small world networks with that on regular lattices.

Main Methods:

  • Monte Carlo simulations were employed.
  • Glauber dynamics were used to model spin interactions.

Related Experiment Videos

  • Small world networks were generated by rewiring 2D square and 3D cubic lattices.

    • Main Results:

    • Damage spreading temperatures (Td) for various rewiring probabilities (p) collapsed onto master curves when plotted against rescaled temperature.
    • The difference between the damage spreading temperature (Td) and the critical temperature (Tc) increased with rewiring probability (p).

    Conclusions:

    • Network topology significantly influences damage spreading in the Ising model.
    • Small world networks exhibit different damage spreading characteristics than regular lattices.
    • For modeling social systems using the Ising model, small world networks are more appropriate than regular lattices.