Three-wave mixing and light diffraction by transient light induced gratings for the study of fast relaxation processes

1983 ◽  
Vol 15 (1) ◽  
pp. 41-55 ◽  
Author(s):  
H. Paerschke ◽  
K. -E. S�sse ◽  
B. Wilhelmi
2019 ◽  
Vol 99 (14) ◽  
Author(s):  
Martin Luckabauer ◽  
Tomoki Hayashi ◽  
Hidemi Kato ◽  
Tetsu Ichitsubo

2007 ◽  
Vol 353 (16-17) ◽  
pp. 1491-1500 ◽  
Author(s):  
S.V. Adichtchev ◽  
N.V. Surovtsev ◽  
J. Wiedersich ◽  
A. Brodin ◽  
V.N. Novikov ◽  
...  

1987 ◽  
Vol 35 (11) ◽  
pp. 5830-5840 ◽  
Author(s):  
Andrzej Suchocki ◽  
Guy D. Gilliland ◽  
Richard C. Powell

2017 ◽  
Vol 135 ◽  
pp. 290-296 ◽  
Author(s):  
P. Palomino Rico ◽  
D.G. Papageorgiou ◽  
A.L. Greer ◽  
G.A. Evangelakis

1991 ◽  
Vol 7 (Supple) ◽  
pp. 653-654 ◽  
Author(s):  
Takahiro Kawasaki ◽  
Akira Harata ◽  
Tsuguo Sawada

Axioms ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 126
Author(s):  
Simon Gluzman

We develop nonlinear approximations to critical and relaxation phenomena, complemented by the optimization procedures. In the first part, we discuss general methods for calculation of critical indices and amplitudes from the perturbative expansions. Several important examples of the Stokes flow through 2D channels are brought up. Power series for the permeability derived for small values of amplitude are employed for calculation of various critical exponents in the regime of large amplitudes. Special nonlinear approximations valid for arbitrary values of the wave amplitude are derived from the expansions. In the second part, the technique developed for critical phenomena is applied to relaxation phenomena. The concept of time-translation invariance is discussed, and its spontaneous violation and restoration considered. Emerging probabilistic patterns correspond to a local breakdown of time-translation invariance. Their evolution leads to the time-translation invariance complete (or partial) restoration. We estimate the typical time extent, amplitude and direction for such a restorative process. The new technique is based on explicit introduction of origin in time as an optimization parameter. After some transformations, we arrive at the exponential and generalized exponential-type solutions (Gompertz approximants), with explicit finite time scale, which is only implicit in the initial parameterization with polynomial approximation. The concept of crash as a fast relaxation phenomenon, consisting of time-translation invariance breaking and restoration, is advanced. Several COVID-related crashes in the time series for Shanghai Composite and Dow Jones Industrial are discussed as an illustration.


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