Nonlinear effects in thermal wave propagation near zero absolute temperature

2005 ◽  
Vol 355 (1-4) ◽  
pp. 147-157 ◽  
Author(s):  
Vito Antonio Cimmelli ◽  
Kurt Frischmuth
2021 ◽  
Vol 118 (14) ◽  
pp. e2019348118
Author(s):  
Guillaume Vanderhaegen ◽  
Corentin Naveau ◽  
Pascal Szriftgiser ◽  
Alexandre Kudlinski ◽  
Matteo Conforti ◽  
...  

The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report results of experiments in both optics and hydrodynamics, which are in excellent agreement with nonlinear theory. These observations clearly demonstrate that MI has a wider band of unstable frequencies than predicted by the linear stability analysis. The range of areas where the nonlinear theory of MI can be applied is actually much larger than considered here.


1992 ◽  
Vol 37 (1) ◽  
pp. 21-35 ◽  
Author(s):  
U Werner ◽  
K Giese ◽  
B Sennhenn ◽  
K Plamann ◽  
K Kolmel

1986 ◽  
Vol 59 (1) ◽  
pp. 59-65 ◽  
Author(s):  
David K. Lambert ◽  
Charles R. Harrington

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Anna Perelomova

The nonlinear phenomena which associate with magnetoacoustic waves in a plasma are analytically studied. A plasma is an open system with external inflow of energy and radiation losses. A plasma’s flow may be isentropically stable or unstable. The nonlinear phenomena occur differently in dependence on stability or instability of a plasma’s flow. The nonlinear instantaneous equation which describes dynamics of nonwave entropy mode in the field of intense magnetoacoustic perturbations is the result of special projecting of the conservation equations in the differential form. It is analyzed in some physically meaningful cases; those are periodic magnetoacoustic perturbations and particular cases of heating-cooling function. A plasma is situated in the straight magnetic field with constant equilibrium magnetic strength which form constant angle with the direction of wave propagation. A plasma is initially uniform and equilibrium. The conclusions concern nonlinear effects of fast and slow magnetoacoustic perturbations and may be useful in direct and inverse problems.


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