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This is a Quantitative Study study.

October 2, 2025MathematicsOpen Access

Nonlocal Internal Variable and Superfluid State in Liquid Helium II

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This model reveals sound wave propagation in liquid helium II, suggesting implications for fluid dynamics.

Superfluidity is modeled through the internal variable theory, providing new insights into fluid behavior.
The model reveals how first and second sound waves depend on the counterflow velocity and fluid composition.
By applying thermodynamic restrictions, constitutive equations of the Landau type are derived and analyzed.
Acceleration wave propagation showcases unique sound wave characteristics in two-component fluid systems.

Vito Antonio Cimmelli (2025) studied this question.

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