TY - JOUR
A2 - Chatterjee, Ashok
AU - Johansson, Jonas
AU - Pistol, Mats-Erik
PY - 2011
DA - 2011/11/24
TI - Microcanonical Entropy of the Infinite-State Potts Model
SP - 437093
VL - 2011
AB - In this investigation we show that the entropy of the two-dimensional infinite-state Potts model is linear in configurational energy in the thermodynamic limit. This is a direct consequence of the local convexity of the microcanonical entropy, associated with a finite system undergoing a first-order transition. For a sufficiently large number of states q, this convexity spans the entire energy range of the model. In the thermodynamic limit, the convexity becomes insignificant, and the microcanonical entropy (the logarithm of the density of states) tends to a straight line. In order to demonstrate the behaviour of the convexity, we use the Wang-Landau Monte-Carlo technique to numerically calculatethe density of states for a few finite but high values of q. Finally, we calculate the free energy and discuss the generality of our results.
SN - 2090-2220
UR - https://doi.org/10.1155/2011/437093
DO - 10.1155/2011/437093
JF - Physics Research International
PB - Hindawi Publishing Corporation
KW -
ER -