52 citations · 145 across the 4 of their papers we have counts for
5 papers
Application of large deviation theory to the mean-field phi^4-model
Ingo Hahn, Michael Kastner
A large deviation technique is used to calculate the microcanonical entropy function s(v,m) of the mean-field phi^4-model as a function of the potential energy v and the magnetizat…
The mean-field phi4-model: entropy, analyticity, and configuration space topology
Ingo Hahn, Michael Kastner
A large deviation technique is applied to the mean-field phi4-model, providing an exact expression for the configurational entropy s(v,m) as a function of the potential energy v an…
On the mean-field spherical model
Michael Kastner, Oliver Schnetz
Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the…
Topological approach to phase transitions and inequivalence of statistical ensembles
Michael Kastner
The relation between thermodynamic phase transitions in classical systems and topology changes in their state space is discussed for systems in which equivalence of statistical ens…
Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials
Michael Kastner
The relation between thermodynamic phase transitions in classical systems and topology changes in their configuration space is discussed for a one-dimensional, analytically tractab…