Mutual friction in helium II: A microscopic approach
We develop a microscopic model of mutual friction represented by the dissipative dynamics of a normal fluid flow which interacts with the helical normal modes of vortices comprising a lattice in thermal equilibrium. Such vortices are assumed to interact with the quasiparticles forming the normal flu...
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paper:paper_01326414_v35_n12_p1171_Cataldo2023-06-08T15:10:55Z Mutual friction in helium II: A microscopic approach Cataldo, Horacio Máximo Mutual friction Normal fluid flow Vortex oscillations Approach to equilibrium Dissipative dynamics Equation of motion Helium II Kelvin modes Microscopic models Microscopic parameter Mutual friction Normal fluids Normal modes Qualitative features Quasi particles Thermal equilibriums Equations of motion Fluids Helium Phase equilibria Tribology Vortex flow Friction We develop a microscopic model of mutual friction represented by the dissipative dynamics of a normal fluid flow which interacts with the helical normal modes of vortices comprising a lattice in thermal equilibrium. Such vortices are assumed to interact with the quasiparticles forming the normal fluid through a pseudomomentum-conserving scattering Hamiltonian. We study the approach to equilibrium of the normal fluid flow for temperatures below 1 K, deriving an equation of motion for the quasiparticle pseudomomentum which leads to the expected form predicted by the Hall-Vinen-Bekharevich-Khalatnikov equations. We obtain an expression for the mutual friction coefficient in terms of microscopic parameters, which turns out to be practically independent of the vortex mass for values arising from diverse theories. By comparing our expression of B with previous theoretical estimates, we deduce interesting qualitative features about the excitation of Kelvin modes by the quasiparticle scattering. © 2009 H.M. Cataldo. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01326414_v35_n12_p1171_Cataldo http://hdl.handle.net/20.500.12110/paper_01326414_v35_n12_p1171_Cataldo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Mutual friction Normal fluid flow Vortex oscillations Approach to equilibrium Dissipative dynamics Equation of motion Helium II Kelvin modes Microscopic models Microscopic parameter Mutual friction Normal fluids Normal modes Qualitative features Quasi particles Thermal equilibriums Equations of motion Fluids Helium Phase equilibria Tribology Vortex flow Friction |
| spellingShingle |
Mutual friction Normal fluid flow Vortex oscillations Approach to equilibrium Dissipative dynamics Equation of motion Helium II Kelvin modes Microscopic models Microscopic parameter Mutual friction Normal fluids Normal modes Qualitative features Quasi particles Thermal equilibriums Equations of motion Fluids Helium Phase equilibria Tribology Vortex flow Friction Cataldo, Horacio Máximo Mutual friction in helium II: A microscopic approach |
| topic_facet |
Mutual friction Normal fluid flow Vortex oscillations Approach to equilibrium Dissipative dynamics Equation of motion Helium II Kelvin modes Microscopic models Microscopic parameter Mutual friction Normal fluids Normal modes Qualitative features Quasi particles Thermal equilibriums Equations of motion Fluids Helium Phase equilibria Tribology Vortex flow Friction |
| description |
We develop a microscopic model of mutual friction represented by the dissipative dynamics of a normal fluid flow which interacts with the helical normal modes of vortices comprising a lattice in thermal equilibrium. Such vortices are assumed to interact with the quasiparticles forming the normal fluid through a pseudomomentum-conserving scattering Hamiltonian. We study the approach to equilibrium of the normal fluid flow for temperatures below 1 K, deriving an equation of motion for the quasiparticle pseudomomentum which leads to the expected form predicted by the Hall-Vinen-Bekharevich-Khalatnikov equations. We obtain an expression for the mutual friction coefficient in terms of microscopic parameters, which turns out to be practically independent of the vortex mass for values arising from diverse theories. By comparing our expression of B with previous theoretical estimates, we deduce interesting qualitative features about the excitation of Kelvin modes by the quasiparticle scattering. © 2009 H.M. Cataldo. |
| author |
Cataldo, Horacio Máximo |
| author_facet |
Cataldo, Horacio Máximo |
| author_sort |
Cataldo, Horacio Máximo |
| title |
Mutual friction in helium II: A microscopic approach |
| title_short |
Mutual friction in helium II: A microscopic approach |
| title_full |
Mutual friction in helium II: A microscopic approach |
| title_fullStr |
Mutual friction in helium II: A microscopic approach |
| title_full_unstemmed |
Mutual friction in helium II: A microscopic approach |
| title_sort |
mutual friction in helium ii: a microscopic approach |
| publishDate |
2009 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01326414_v35_n12_p1171_Cataldo http://hdl.handle.net/20.500.12110/paper_01326414_v35_n12_p1171_Cataldo |
| work_keys_str_mv |
AT cataldohoraciomaximo mutualfrictioninheliumiiamicroscopicapproach |
| _version_ |
1768545251803267072 |