Critical-point finite-size scaling in the microcanonical ensemble

Details Critical-point finite-size scaling in the microcanonical ensemble Critical-point finite-size scaling in the microcanonical ensemble

1999-08-02

arxiv.org/abs/cond-mat/9908025v1

Physics

Condensed Matter

Statistical Mechanics

27 pages Revtex, 9 figures

Scientific paper

10.1103/PhysRevE.60.3748

We develop a scaling theory for the finite-size critical behavior of the microcanonical entropy (density of states) of a system with a critically-divergent heat capacity. The link between the microcanonical entropy and the canonical energy distribution is exploited to establish the former, and corroborate its predicted scaling form, in the case of the 3d Ising universality class. We show that the scaling behavior emerges clearly when one accounts for the effects of the negative background constant contribution to the canonical critical specific heat. We show that this same constant plays a significant role in determining the observed differences between the canonical and microcanonical specific heats of systems of finite size, in the critical region.

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