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Comment on "Lagrangian formulation and symmetrical description of liquid dynamics"
T Bryk1,2, A Duviryak1, I Mryglod1
1Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine.
This study critiques a proposed Lagrangian formulation for liquid dynamics, demonstrating its incorrectness. It also addresses claims about symmetric liquid dynamics and characteristic times.
Area of Science:
- Physics
- Fluid Dynamics
- Theoretical Physics
Background:
- A recent study proposed a Lagrangian formulation for liquid dynamics.
- This formulation aimed to describe liquid behavior using a two-field Lagrangian approach.
Purpose of the Study:
- To evaluate the correctness of the proposed two-field Lagrangian formulation for liquid dynamics.
- To discuss related claims regarding symmetric descriptions and characteristic times in liquid dynamics.
Main Methods:
- Theoretical analysis of the proposed two-field Lagrangian formulation.
- Critique of the formulation's ability to accurately represent liquid dynamics.
Main Results:
- The proposed two-field Lagrangian formulation does not correctly describe liquid dynamics.
- The study discusses inaccuracies in claims about symmetric liquid dynamics descriptions.
- The similarity between Maxwell and Frenkel characteristic times is also examined.
Conclusions:
- The proposed Lagrangian formulation for liquid dynamics is fundamentally flawed.
- Further theoretical work is needed to develop accurate Lagrangian descriptions of liquids.
- The discussion highlights the importance of rigorous validation in theoretical physics formulations.
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