Microcanonical entropy for small magnetisations

Details Microcanonical entropy for small magnetisations Microcanonical entropy for small magnetisations

2003-11-10

arxiv.org/abs/cond-mat/0311211v1

J. Phys. A: Math. Gen. 37 (2004) 1443-1458

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures

Scientific paper

10.1088/0305-4470/37/4/026

Physical quantities obtained from the microcanonical entropy surfaces of classical spin systems show typical features of phase transitions already in finite systems. It is demonstrated that the singular behaviour of the microcanonically defined order parameter and susceptibility can be understood from a Taylor expansion of the entropy surface. The general form of the expansion is determined from the symmetry properties of the microcanonical entropy function with respect to the order parameter. The general findings are investigated for the four-state vector Potts model as an example of a classical spin system.

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