Long-time-scale dynamics observed in directional solidification of a binary alloy

1994 ◽  
Vol 49 (18) ◽  
pp. 12724-12737 ◽  
Author(s):  
Konstantinos Tsiveriotis ◽  
Robert A. Brown
Keyword(s):  
Directional Solidification ◽  
Binary Alloy ◽  
Time Scale ◽  
Long Time

The Planar to Cellular Transition and the Long Time Scale Dynamics of Pattern Formation During Thin-Film Directional Solidification

1990 ◽  
Vol 205 ◽  
Author(s):  
John T.C. Lee ◽  
Robert A. Brown
Keyword(s):  
Thin Film ◽  
Spectral Analysis ◽  
Pattern Formation ◽  
Directional Solidification ◽  
Time Scale ◽  
Linear Stability Theory ◽  
Morphological Instability ◽  
Thin Sample ◽  
Long Time ◽  
Crystal Interface

AbstractExperimental observations of the melt/crystal interface in the directional solidification of a thin sample of a binary alloy are reported for conditions only slightly beyond those for the onset of morphological instability. Spectral analysis for long times shows dynamics leading to a band of most probable wavelengths with sharply selected peaks at wavelengths significantly below the most dangerous wavelength predicted by linear stability theory. These large-amplitude cells develop first in packets that spread to fill the interface.

scholarly journals Long-Time-Scale Magnetization Ordering Induced by an Adsorbed Chiral Monolayer on Ferromagnets

ACS Nano ◽  
2021 ◽  
Author(s):  
I. Meirzada ◽  
N. Sukenik ◽  
G. Haim ◽  
S. Yochelis ◽  
L. T. Baczewski ◽  
...  
Keyword(s):  
Time Scale ◽  
Long Time

scholarly journals Dynamics of transposable elements under the selection model

1999 ◽  
Vol 74 (2) ◽  
pp. 159-164 ◽  
Author(s):  
A. TSITRONE ◽  
S. CHARLES ◽  
C. BIÉMONT
Keyword(s):  
Equilibrium Point ◽  
Dynamic Characteristics ◽  
Time Scale ◽  
Copy Number ◽  
Stable Equilibrium ◽  
Stable Equilibrium Point ◽  
Asymptotically Stable ◽  
Weak Selection ◽  
Strong Selection ◽  
Long Time

We examine an analytical model of selection against the deleterious effects of transposable element (TE) insertions in Drosophila, focusing attention on the asymptotic and dynamic characteristics. With strong selection the only asymptotically stable equilibrium point corresponds to extinction of the TEs. With very weak selection a stable and realistic equilibrium point can be obtained. The dynamics of the system is fast for strong selection and slow, on the human time scale, for weak selection. Hence weak selection acts as a force that contributes to the stabilization of mean TE copy number. The consequence is that under weak selection, and ‘out-of-equilibrium’ situation can be maintained for a long time in populations, with mean TE copy number appearing stabilized.

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