The lecture notes cover the emergence of generalized hydrodynamics for the classical and
quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the …

In this work, we analyze in detail the problem of piston driven shock waves in planar media.
Similarity solutions to the compressible hydrodynamics equations are developed, for a …

To illustrate Boltzmann's construction of an entropy function that is defined for a microstate of
a macroscopic system, we present here the simple example of the free expansion of a one …

1. Introduction, 2. Dynamics of the classical Toda lattice, 3. Static properties, 4. Mean-field
Dyson Brownian motion, 5. Hydrodynamics for hard rods, 6. Generalized hydrodynamic …

A numerical study in a one-dimensional planar formulation of the dynamics of the neutral
gas expansion during nanosecond laser evaporation into a low-pressure background gas is …

A gas composed of a large number of atoms evolving according to Newtonian dynamics is
often described by continuum hydrodynamics. Proving this rigorously is an outstanding open …

We investigate the thermal relaxation of an ideal gas from a nonequilibrium stationary state.
The gas is enclosed between two walls, which initially have different temperatures. After …

In this work, we study the evolution of Boltzmann's entropy in the context of free expansion of
a one-dimensional interacting gas inside a box. Our interacting particle model is a gas of …

The continuous injection of energy at a localized region in space in a stationary gas creates
a shock wave that propagates radially outwards. We study the hydrodynamics of this …

Integrable systems feature an infinite number of conserved charges and on hydrodynamic
scales are described by generalised hydrodynamics (GHD). This description breaks down …