Thesis (Selection of subject)Thesis (Selection of subject)(version: 290)
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Termodynamické modelování supratekutin
Thesis title in Czech: Termodynamické modelování supratekutin
Thesis title in English: Thermodynamic modeling of superfluids
Key words: termodynamika, supratekutiny, směs, nerovnovážná termodynamika, hamiltonovská mechanika
English key words: thermodynamics, superfluids, mixtures, non-equilibrium thermodynamics, Hamiltnonian mechanics
Academic year of topic announcement: 2018/2019
Type of assignment: diploma thesis
Thesis language:
Department: Mathematical Institute of Charles University (32-MUUK)
Supervisor: RNDr. Michal Pavelka, Ph.D.
Advisors: Mgr. Vít Průša, Ph.D.
RNDr. Jaroslav Hron, Ph.D.
1) Literature survey
2) Comparison of one-and-two-component models
3) Formulation of a thermodynamically consistent model
4) Comparison with experiments
[1] Landau Lifshitz, vol. 6
[2] D. Jou and M. S. Mongiovi, Phys. Rev. B 69, 094513
Preliminary scope of work
The rapidly growing importance of superfluids in technical applications implies the importance of modeling of the superfluids. However, models of superfluids are scattered into several dramatically different approaches. Besides quantum computations, models of superfluids are often based on continuum physics. The continuous models are then either two-component (supefluid+normal fluid) mixtures or single component models. The first step of thesis should be a survey of these classes of models.

The two-component models (e.g. the Landau-Tisza [1]) model represent a widely used option. However, the one-component models, based for example on extended irreversible thermodynamics [2], become fashionable more recently. An another goal of the thesis is to compare the one-and-two-component models on a few simple problems and to compare the outcomes with known experimental data. Fulfillment of this goal could already be seen as a contribution sufficient completing the master thesis.

We expect that the one-component models will become superior to the two-component models because the fluid does not actually decompose into two phases or species. The fluid rather exhibits two kinds of motion. A further step will be to propose kinematics of the motion within extended irreversible thermodynamics or GENERIC. This should result in a new model that should be compared to the experimental data of the group of prof. Skrbek at MFF UK.
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