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Ising model with hyperuniform disorder

We know that in equilibrium systems with uniform density and finite compressibility, the variance of density with in a small volume V scales as V. Recently a significant amount of interest has been directed toward systems whose density fluctuation are suppressed, they are called hyperuniform systems. They correspond to the system having a zero value of thermodynamic compressibility. In this work I investigate Ising model on hyperuniform lattice and find the critical exponents using an exact combinatorial solution of Ising model on 2D random graphs. A interesting question that it will try to answer is whether the disorder that I introduce leads a different universality class or not.

critical point
Fig: The above movie shows time evolution of the Ising model at critical temperature at equilibrium.

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