6 papers
Effective Dynamics of Disclination Pairs
Nicolò Briatico, Pierluigi Cesana, Marco Morandotti
The dissipative dynamics of a pair of wedge disclinations with opposite Frank angles confined to a circular domain is investigated under the assumption of radially symmetric motion…
Equilibrium and Interaction Regimes in Mixed Disclination-Dislocation Systems
Pierluigi Cesana, Marco Morandotti, Aldo Sambo
We investigate equilibrium configurations and dissipative dynamics of simplified disclination--dislocation systems in planar elasticity. We consider an edge dislocation interacting…
Anomaly prediction in XRP price with topological features
Illia Donhauzer, Pierluigi Cesana, Tomoyuki Shirai +1
The aim of this research is to study XRP cryptoasset price dynamics, with a particular focus on forecasting atypical price movements. Recent studies suggest that topological proper…
Space-time evolution of Volterra disclinations
Pierluigi Cesana, Alfio Grillo, Marco Morandotti +1
The dynamics of a system of particles subject to a 4th order potential field modeling the space-time evolution of wedge disclinations is studied, focusing on finite systems of disc…
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
Pierluigi Cesana, Lucia De Luca, Marco Morandotti
We present a variational theory for lattice defects of rotational and translational type. We focus on finite systems of planar wedge disclinations, disclination dipoles, and edge d…
Variational Solvers for Irreversible Evolutionary Systems
Andrés A León Baldelli, Pierluigi Cesana
We study irreversible evolutionary processes with a general energetic notion of stability. We dedicate this contribution to releasing three nonlinear variational solvers as modular…