Contrasting thermodynamic and hydrodynamic entropy
Statistical Mechanics
2024-12-06 v2 Soft Condensed Matter
Fluid Dynamics
Plasma Physics
Abstract
In this paper, using \textit{hydrodynamic entropy} we quantify the multiscale disorder in Euler and hydrodynamic turbulence. These examples illustrate that the hydrodynamic entropy is not extensive because it is not proportional to the system size. Consequently, we cannot add hydrodynamic and thermodynamic entropies, which measure disorder at macroscopic and microscopic scales, respectively. In this paper, we also discuss the hydrodynamic entropy for the time-dependent Ginzburg-Landau equation and Ising spins.
Cite
@article{arxiv.2411.03135,
title = {Contrasting thermodynamic and hydrodynamic entropy},
author = {Mahendra K. Verma and Rodion Stepanov and Alexandre Delache},
journal= {arXiv preprint arXiv:2411.03135},
year = {2024}
}
Comments
Title corrected