Contrasting thermodynamic and hydrodynamic entropy
In this paper, using hydrodynamic entropy, we quantify 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.
Authors
- Mahendra K. Verma (ORCID: https://orcid.org/0000-0002-3380-4561)
- Alexandre Delache (ORCID: https://orcid.org/0009-0000-6925-6520)
- Rodion Stepanov (ORCID: https://orcid.org/0000-0001-8098-0720)
Institutions
- Université Claude Bernard Lyon 1 (FR)
- Perm National Research Polytechnic University (RU)
- Institute of Continuous Media Mechanics (RU)
- Laboratoire de Mécanique des Fluides et d'Acoustique (FR)
- Université Jean Monnet (FR)
- Indian Institute of Technology Kanpur (IN)
Publication Details
- Journal
- Physical review. E
- Published
- 2024-11-25
- DOI
- https://doi.org/10.1103/physreve.110.055106
- Citations
- 2
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.56
Funders
- Indian Institute of Technology Kanpur
- Science and Engineering Research Board