Reconstruction of the finite size canonical ensemble from incomplete micro-canonical data

Details Reconstruction of the finite size canonical ensemble from incomplete micro-canonical data Reconstruction of the finite size canonical ensemble from incomplete micro-canonical data

2006-12-18

arxiv.org/abs/cond-mat/0612465v1

Cent. Eur. J. Phys. 7 (2009), 490-502

Physics

Condensed Matter

Statistical Mechanics

19 pages

Scientific paper

10.2478/s11534-009-0033-9

In this paper we discuss how partial knowledge of the density of states for a model can be used to give good approximations of the energy distributions in a given temperature range. From these distributions one can then obtain the statistical moments corresponding to eg the internal energy and the specific heat. These questions have gained interest apropos of several recent methods for estimating the density of states of spin models. As a worked example we finally apply these methods to the 3-state Potts model for cubic lattices of linear order up to 128. We give estimates of eg latent heat and critical temperature, as well as the microcanonical properties of interest.

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