Condensed Matter

   

Microcanonical Ensembles of 32x32 Spins in Ising Model.

Authors: Franco Sabino Stoianoff Lindstron

It is well known that different thermodynamic ensembles do not coincide for finite systems. Likewise, it is well established – but hardly recognized – that these differences may distinguish certain ensembles as more appropriate than others even if one is ultimately interested in the thermodynamic limit of infinite system size. To illustrate this point we present as an example the famous second order phase transition in the two-dimensional Ising model and compare the canonical and microcanonical specific heat for a lattice of 32 × 32 spins.

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[v1] 2018-04-04 23:04:43

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