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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions.

Nikolaos G Fytas1, Víctor Martín-Mayor2,3, Marco Picco4

  • 1Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom.

Physical Review Letters
|June 18, 2016
PubMed
Summary

This study simulates the D=4 random-field Ising model, revealing a single universality class. Critical exponents were calculated, showing dimensional reduction does not apply and three exponents are needed for the transition.

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