3 papers
cond-mat.stat-mech2025
Phase transitions and finite-size effects in integrable virial statistical models
Xin An, Francesco Giglio, Giulio Landolfi
We analyze thermodynamic models for fluid systems in equilibrium based on a virial expansion of the internal energy in terms of the volume density. We prove that the models, formul…
math-ph2024
Integrability properties and multi-kink solutions of a generalised Fokker-Planck equation
Francesco Giglio, Giulio Landolfi, Luigi Martina +1
We analyse a generalised Fokker-Planck equation by making essential use of its linearisability through a Cole-Hopf transformation. We determine solutions of travelling wave and mul…
nlin.SI2023
On solutions to a novel non-evolutionary integrable 1+1 PDE
Francesco Giglio, Giulio Landolfi, Luigi Martina
We investigate real solutions of a C-integrable non-evolutionary partial differential equation in the form of a scalar conservation law where the flux density depends both on the d…