Am. Bratkovsky et al., STRAIN EFFECTS, PARTICULARLY IN PHASE-TRANSITIONS, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 354(1720), 1996, pp. 2875-2896
Recent progress in understanding kinetics of texturing during structur
al phase transitions with long-range strain interactions is reviewed.
We analyse systems with elastically mediated interaction which due to
its anisotropy and infinite range has a pronounced effect on kinetics
and textures occurring during the phase transition. As a generic examp
le the textures ('stripe' and 'tweed' phases) due to oxygen ordering i
n layered high-T-c cuprates (YBCO) are discussed. An atomic ordering p
rocess in cell i generates a local stress field, which is propagated e
lastically to a distant cell j. The effective elastic interaction J(R(
ij)) at large distances can be broken into a highly anisotropic spatia
l part, defining a few 'soft' directions coinciding with the orientati
on of twin boundaries, and the so-called Zener interaction J(Z) of inf
inite range. The spatial part of the interaction falls off proportiona
l to 1/R(ij)(3) in ferroelastic and proportional to 1/R(ij)(5) in anti
-ferroelastic materials, with corresponding differences of the propert
ies of domain walls in these two cases. We analyse the origin of tweed
texture usually seen when a ferroelastic material is quenched through
the transition temperature T-c, and under other conditions. It is arg
ued that a dense mass of embryos of the ordered phase is present as th
ermodynamic fluctuations at temperatures well above T-c. These fluctua
tions control the length and width of the tweed microdomains observed
after quenching. Further coarsening of the tweed towards a stripe text
ure proceeds via the creation of needle domains governed by the strain
s around right-angled domain walls. Unusual texture formation under su
dden heating is discussed.