Related Experiment Video
Updated: May 23, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Statistical theory of quasistationary states beyond the single water-bag case study
Mallbor Assllani1, Duccio Fanelli, Alessio Turchi
1Dipartimento di Energetica, Universitá di Firenze, via Santa Marta, 3 - I-50139 Firenze, Italy. malborasllani@yahoo.com
Abstract:
An analytical solution for the out-of-equilibrium quasistationary states of the paradigmatic Hamiltonian mean field (HMF) model can be obtained from a maximum entropy principle. The theory has been so far tested with reference to a specific class of initial condition, the so called (single-level) water-bag type. In this paper a step forward is taken by considering an arbitrary number of overlapping water bags. The theory is benchmarked to direct microcanonical simulations performed for the case of a two-level water-bag. The comparison is shown to return an excellent agreement.
Related Concept Videos
Entropy
The Entropy as a State Function
Second Law of Thermodynamics
Equation of State
Noncompartmental Analysis: Statistical Moment Theory
Mechanistic Models: Compartment Models in Individual and Population Analysis
