Response and radiated pressure Green’s functions from a fluid‐loaded cylindrical shell

1993 ◽  
Vol 94 (3) ◽  
pp. 1862-1862
Author(s):  
J. M. Cuschieri ◽  
D. Feit
Keyword(s):  
Cylindrical Shell ◽  
Green's Functions ◽  
Green’S Functions

scholarly journals Scalar Casimir effect for a conducting cylinder in a Lorentz-violating background

2021 ◽  
pp. 2150168
Author(s):  
A. M. Escobar-Ruiz ◽  
A. Martín-Ruiz ◽  
C. A. Escobar ◽  
Román Linares
Keyword(s):  
Cylindrical Shell ◽  
Green's Functions ◽  
Green’S Functions ◽  
Casimir Effect ◽  
Normal Component ◽  
Vacuum Expectation ◽  
Dirichlet Boundary Conditions ◽  
Order Differential Operator ◽  
Energy Tensor ◽  
Approximate Analytical Expression

Following a field-theoretical approach, we study the scalar Casimir effect upon a perfectly conducting cylindrical shell in the presence of spontaneous Lorentz symmetry breaking. The scalar field is modeled by a Lorentz-breaking extension of the theory for a real scalar quantum field in the bulk regions. The corresponding Green’s functions satisfying Dirichlet boundary conditions on the cylindrical shell are derived explicitly. We express the Casimir pressure (i.e. the vacuum expectation value of the normal–normal component of the stress–energy tensor) as a suitable second-order differential operator acting on the corresponding Green’s functions at coincident arguments. The divergences are regulated by making use of zeta function techniques, and our results are successfully compared with the Lorentz invariant case. Numerical calculations are carried out for the Casimir pressure as a function of the Lorentz-violating coefficient, and an approximate analytical expression for the force is presented as well. It turns out that the Casimir pressure strongly depends on the Lorentz-violating coefficient and it tends to diminish the force.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional
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