Issue |
Europhys. Lett.
Volume 75, Number 1, July 2006
|
|
---|---|---|
Page(s) | 84 - 90 | |
Section | Condensed matter: structural, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2006-10086-8 | |
Published online | 02 June 2006 |
Ginzburg-Landau theory of microstructures: Stability, transient dynamics, and functionally graded nanophases
1
Texas Tech University, Center for Mechanochemistry and Synthesis of New Materials Department of Mechanical Engineering - Lubbock, TX 79409-1021, USA
2
Physics Division, Los Alamos National Laboratory - Los Alamos, NM 87545, USA
Received:
19
January
2006
Accepted:
12
May
2006
The stability, transient dynamics, and physical interpretation of microstructures obtained from a Ginzburg-Landau theory of first-order phase transformations are studied. The Jacobi condition for stability fails numerically, thus an alternative exact stability criterion, based on critical (most destabilizing) fluctuations, is developed. The degree-of-stability parameter is introduced to quantify the physical stability of long-lived unstable microstructures. For nanofilms, the existence of functionally graded nanophases is demonstrated. Numerical simulations indicate that graded nanophases can be produced by dissolving material from both surfaces of a nanofilm. Stability under finite fluctuations and post-bifurcation microstructure evolution are investigated numerically.
PACS: 64.60.-i – General studies of phase transitions
© EDP Sciences, 2006
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