50 citations · 169 across the 14 of their papers we have counts for
8 papers · 1 filter
Continuous phase transitions with a convex dip in the microcanonical entropy
Hans Behringer, Michel Pleimling
The appearance of a convex dip in the microcanonical entropy of finite systems usually signals a first order transition. However, a convex dip also shows up in some systems with a…
Critical properties of the spherical model in the microcanonical formalism
Hans Behringer
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 th…
Microcanonical analysis of small systems
Michel Pleimling, Hans Behringer
The basic quantity for the description of the statistical properties of physical systems is the density of states or equivalently the microcanonical entropy. Macroscopic quantities…
Finite-size behaviour of the microcanonical specific heat
H. Behringer, M. Pleimling, A. Hueller
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 specifi…
Microcanonical scaling in small systems
Michel Pleimling, Hans Behringer, Alfred Huller
A microcanonical finite-size scaling ansatz is discussed. It exploits the existence of a well-defined transition point for systems of finite size in the microcanonical ensemble. Th…
Microcanonical entropy for small magnetisations
Hans Behringer
Physical quantities obtained from the microcanonical entropy surfaces of classical spin systems show typical features of phase transitions already in finite systems. It is demonstr…
Symmetries of microcanonical entropy surfaces
Hans Behringer
Symmetry properties of the microcanonical entropy surface as a function of the energy and the order parameter are deduced from the invariance group of the Hamiltonian of the physic…
Phase transitions in a cluster molecular field approximation
Hans Behringer, Michel Pleimling, Alfred Huller
Cluster molecular field approximations represent a substantial progress over the simple Weiss theory where only one spin is considered in the molecular field resulting from all the…