Two-dimensional equation of state for nonionic surfactant monolayers

2002 ◽  
Vol 12 (6) ◽  
pp. 218-219 ◽  
Author(s):  
Anatoly I. Rusanov
2019 ◽  
Vol 4 (1) ◽  
pp. 20 ◽  
Author(s):  
Andrea Tononi

We derive the two-dimensional equation of state for a bosonic system of ultracold atoms interacting with a finite-range effective interaction. Within a functional integration approach, we employ a hydrodynamic parameterization of the bosonic field to calculate the superfluid equations of motion and the zero-temperature pressure. The ultraviolet divergences, naturally arising from the finite-range interaction, are regularized with an improved dimensional regularization technique.


2021 ◽  
pp. 113031
Author(s):  
Fernanda Pinzan ◽  
Mateus Urias Cerdeira Braga ◽  
Esdras Penêdo de Carvalho ◽  
Marcus Vinicius Pereira ◽  
Leonardo Hadlich de Oliveira ◽  
...  

2018 ◽  
Vol 13 (3) ◽  
pp. 59-63 ◽  
Author(s):  
D.T. Siraeva

Equations of hydrodynamic type with the equation of state in the form of pressure separated into a sum of density and entropy functions are considered. Such a system of equations admits a twelve-dimensional Lie algebra. In the case of the equation of state of the general form, the equations of gas dynamics admit an eleven-dimensional Lie algebra. For both Lie algebras the optimal systems of non-similar subalgebras are constructed. In this paper two partially invariant submodels of rank 3 defect 1 are constructed for two-dimensional subalgebras of the twelve-dimensional Lie algebra. The reduction of the constructed submodels to invariant submodels of eleven-dimensional and twelve-dimensional Lie algebras is proved.


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