67 citations · 80 across the 2 of their papers we have counts for
11 papers · 1 filter
On a microcanonical relation between continuous and discrete spin models
Lapo Casetti, Cesare Nardini, Rachele Nerattini
A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of a Ising model defined on the same lattice s…
Kinetic energy and microcanonical nonanalyticities in finite and infinite systems
Lapo Casetti, Michael Kastner, Rachele Nerattini
In contrast to the canonical case, microcanonical thermodynamic functions can show nonanalyticities also for finite systems. In this paper we contribute to the understanding of the…
Geometry of the energy landscape and folding transition in a simple model of a protein
Lorenzo N. Mazzoni, Lapo Casetti
A geometric analysis of the global properties of the energy landscape of a minimalistic model of a polypeptide is presented, which is based on the relation between dynamical trajec…
Partial equivalence of statistical ensembles and kinetic energy
Lapo Casetti, Michael Kastner
The phenomenon of partial equivalence of statistical ensembles is illustrated by discussing two examples, the mean-field XY and the mean-field spherical model. The configurational…
Nonanalyticities of entropy functions of finite and infinite systems
Lapo Casetti, Michael Kastner
In contrast to the canonical ensemble where thermodynamic functions are smooth for all finite system sizes, the microcanonical entropy can show nonanalytic points also for finite s…
Curvature of the energy landscape and folding of model proteins
Lorenzo N. Mazzoni, Lapo Casetti
We study the geometric properties of the energy landscape of coarse-grained, off-lattice models of polymers by endowing the configuration space with a suitable metric, depending on…