Symmetry-breaking dynamical phase transitions (DPTs) abound in the fluctuations of
nonequilibrium systems. Here, we show that the spectral features of a particular class of …

We derive the hydrodynamic equations with fluctuating currents for the density, momentum,
and energy fields for an active system in the dilute limit. In our model, nonoverdamped self …

We introduce a general class of stochastic lattice gas models, and derive their fluctuating
hydrodynamics description in the large size limit under a local equilibrium hypothesis. The …

We analyze the emergence of Kovacs-like memory effects in athermal systems within the
linear response regime. This is done by starting from both the master equation for the …

In kinetic theory, a system is usually described by its one-particle distribution function f (r, v,
t), such that f (r, v, t) drdv is the fraction of particles with positions and velocities in the …

We consider a velocity field with linear viscous interactions defined on a one dimensional
lattice. Brownian baths with different parameters can be coupled to the boundary sites and to …

Long-range spatial correlations in the velocity and energy fields of a granular fluid are
discussed in the framework of a 1d lattice model. The dynamics of the velocity field occurs …

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase
transitions that manifest in the fluctuations of time-integrated observables within classical …

This book investigates the common nature of granular and active systems, which is rooted in
their intrinsic out-of-equilibrium behavior, with the aim of finding minimal models able to …

A lattice version of the driven inelastic Maxwell gas is studied in one dimension with periodic
boundary conditions. Each site i of the lattice is assigned with a scalar “velocity,” vi. Nearest …