1. Hydrodynamic density functional theory of simple dissipative fluids.
- Author
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Tóth, Gyula I
- Subjects
- *
DENSITY functional theory , *LOCAL thermodynamic equilibrium , *PROBABILITY density function , *VARIATIONAL principles , *FLUIDS , *ISOTHERMAL processes , *STATISTICAL mechanics - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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