scholarly journals The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies

2019 ◽  
Vol 267 (4) ◽  
pp. 2104-2191 ◽  
Author(s):  
Habib Ammari ◽  
Durga Prasad Challa ◽  
Anupam Pal Choudhury ◽  
Mourad Sini
Keyword(s):  
Point Interaction ◽  
Interaction Approximation

Remarks on the point interaction approximation

1988 ◽  
pp. 265-275
Author(s):  
Persi Diaconis ◽  
David Elworthy ◽  
Hans Föllmer ◽  
Edward Nelson ◽  
George Papanicolaou ◽  
...  
Keyword(s):  
Point Interaction ◽  
Interaction Approximation

scholarly journals The regulated four-parameter one-dimensional point interaction

1996 ◽  
Vol 29 (18) ◽  
pp. 6073-6085 ◽  
Author(s):  
José María Román ◽  
Rolf Tarrach
Keyword(s):  
Point Interaction ◽  
One Dimensional

Kinetic equations for plasmas subjected to a strong time-dependent extenal field. Part 2. The weak-interaction approximation

1974 ◽  
Vol 11 (3) ◽  
pp. 377-387 ◽  
Author(s):  
R. Balescu ◽  
J. H. Misguich
Keyword(s):  
Kinetic Equation ◽  
General Theory ◽  
Weak Interaction ◽  
Weak Coupling ◽  
Kinetic Equations ◽  
Time Dependent ◽  
External Fields ◽  
Interaction Approximation

The general theory developed in part 1 is illustrated for a plasma described by the weak-coupling (Landau) approximation. The kinetic equation, valid for arbitrarily strong external fields, is written out explicitly.

Self-consistent effective-medium parameters for oceanic internal waves

1984 ◽  
Vol 146 ◽  
pp. 253-270 ◽  
Author(s):  
R. J. Dewitt ◽  
Jon Wright
Keyword(s):  
Internal Waves ◽  
Direct Interaction ◽  
Decay Rates ◽  
The Self ◽  
Time Behaviour ◽  
Equilibrium Time ◽  
Self Consistent ◽  
Direct Interaction Approximation ◽  
Interaction Approximation ◽  
Extra Parameter

In this paper we apply a formalism introduced in a previous paper to write down a self-consistent set of equations for the functions that describe the near-equilibrium time behaviour of random oceanic internal waves. These equations are based on the direct-interaction approximation. The self-consistent equations are solved numerically (using the Garrett-Munk spectrum as input) and the results are compared to parameters obtained in the weak-interaction approximation (WIA). The formalism points out that an extra parameter that is implicitly vanishingly small in the WIA has a significant effect on decay rates when computed self-consistently. We end by mentioning possible future self-consistent calculations that would improve upon our own.

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