Finite-size behaviour of the microcanonical specific heat

Details Finite-size behaviour of the microcanonical specific heat Finite-size behaviour of the microcanonical specific heat

2004-11-05

arxiv.org/abs/cond-mat/0411153v1

J.Phys. A38 (2005) 973-986

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/38/5/001

For models which exhibit a continuous phase transition in the thermodynamic limit a numerical study of small systems reveals a non-monotonic behaviour of the microcanonical specific heat as a function of the system size. This is in contrast to a treatment in the canonical ensemble where the maximum of the specific heat increases monotonically with the size of the system. A phenomenological theory is developed which permits to describe this peculiar behaviour of the microcanonical specific heat and allows in principle the determination of microcanonical critical exponents.

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