Hydrodynamic Density Functional Theory of simple dissipative fluids
Abstract
In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the one-particle probability density function around Local Thermodynamic Equilibrium, (ii) the assumption of decoupled particle positions and momenta, and (iii) the variational principle. It is shown that there exists a class of free energy functionals for which the conventional thermodynamic formalism can be naturally adopted for non-equilibrium scenarios, and describes entropy monotonic fluid flow in isolated systems. Furthermore, the analysis of the general continuum equations revealed the possibility of a non-local transport mode of energy in highly compressible dense fluids.
Cite
@article{arxiv.2306.07182,
title = {Hydrodynamic Density Functional Theory of simple dissipative fluids},
author = {Gyula I. Tóth},
journal= {arXiv preprint arXiv:2306.07182},
year = {2024}
}