Critical properties of the spherical model in the microcanonical formalism

Abstract

Due to the equivalence of the statistical ensembles thermostatic properties of physical systems with short-range interactions can be calculated in different ensembles leading to the same physics. In particular, the ensemble equivalence holds for systems that undergo a continuous phase transition in the infinite volume limit so that the properties of the transition can also be investigated in the microcanonical approach. Considering as example the spherical model the ensemble equivalence is explicitly demonstrated by calculating the critical properties in the microcanonical ensemble and comparing them to the well-known canonical results.

16 pages, 2 figures

References in corpus (5)

• Finite-size behaviour of the microcanonical specific heat
• Microcanonical scaling in small systems
• Microcanonical entropy for small magnetisations
• Density of states determined from Monte Carlo simulations
• Symmetries of microcanonical entropy surfaces

Cited by in corpus (6)

• Continuous phase transitions with a convex dip in the microcanonical entropy
• Nonanalyticities of the entropy induced by saddle points of the potential energy landscape
• Microcanonical phase diagrams of short-range ferromagnets
• On the thermodynamics of classical micro-canonical systems
• Microcanonical entropy of the spherical model with nearest-neighbour interactions
• Ensemble equivalence in spin systems with short-range interactions