Finite size scaling of the balls in boxes model
P. Bialas, L. Bogacz, Z. Burda, D. Johnston
Abstract
We discuss the finite size behaviour in the canonical ensemble of the balls in boxes model. We compare theoretical predictions and numerical results for the finite size scaling of cumulants of the energy distribution in the canonical ensemble and perform a detailed analysis of the first and third order phase transitions which appear for different parameter values in the model.
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