35 citations · 98 across the 4 of their papers we have counts for
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cond-mat.stat-mech2008★ 26 cited
Nonanalyticities of the entropy induced by saddle points of the potential energy landscape
Michael Kastner, Oliver Schnetz, Steffen Schreiber
The relation between saddle points of the potential of a classical many-particle system and the analyticity properties of its Boltzmann entropy is studied. For finite systems, each…
cond-mat.stat-mech2007★ 35 cited
Phase transitions induced by saddle points of vanishing curvature
Michael Kastner, Oliver Schnetz
Based on the study of saddle points of the potential energy landscapes of generic classical many-particle systems, we present a necessary criterion for the occurrence of a thermody…
cond-mat.stat-mech2005★ 32 cited
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…