“…As was repeatedly noted in sections 5-7, many results of our simulations, including those mentioned in points (i)-(vii), agree well with the experimental observations of multivariant orderings described in references [1][2][3][4][5][6][7]34,39]. This agreement can illustrate the opportunities to use the master equation approach of references [17][18][19][20] for the microscopical studies of most of the various problems of microstructural evolution in alloys.…”
supporting
confidence: 89%
“…and D in equations (33) and (34) in our models are positive at T = T s (c) (which probably follows from considerations of the thermodynamic stability). Therefore, these equations show that both the local order parameter η i and the local mean concentration c i have either a pit or a hump at the ζ -APB depending on the sign of the difference c + − 1/2.…”
Section: Structure Of Antiphase Boundaries In the D0 3 Phasesupporting
confidence: 58%
“…Moreover, simulation of a 2D version of the D0 3 ordering allows us to study also a kinetic behaviour of the so-called 'conservative' APBs which are often observed under multivariant orderings, e.g. under the L1 2 and L1 0 orderings [6,34]. For geometrical reasons discussed below, the conservative APBs are not formed in realistic 3D models of D0 3 ordering, such as our models 1 and 2, but such APBs can arise in a 2D version of model 2.…”
Section: Models and Methods Of Simulationmentioning
confidence: 99%
“…Let us also note that the APDs formed under In later stages of evolution, when the D0 3 order parameter has virtually reached its equilibrium value (figures 6(b)-6(f )), a large proportion of sufficiently long η-APBs become very thin and aligned along the (10) directions parallel to their vector of displacement b d = (1, 0)a or b d = (0, 1)a. In our 2D model 2, such boundaries present an example of the so-called conservative APBs, which can be viewed as a half-space of the ordered domain shifted along the displacement vector parallel to the APB [34]. Without relaxation, the average concentration in each plane parallel to a conservative APB is the same as in the bulk of the ordered phase.…”
Section: Kinetics Of A2 → D0 3 Transformationmentioning
The earlier-described master equation approach to the configurational kinetics of nonequilibrium alloys is used to study kinetic features of 'multivariant' orderings for which more than two types of ordered domain are possible. To this end we make extensive simulations of various phase transformations involving D0 3-type orderings for a number of alloy models. The microscopic structure of various antiphase boundaries in the D0 3 phase is also studied. A consistent approach to describing the effect of elastic forces on microstructural evolution is outlined and used to study the kinetics of a multivariant ordering accompanied by alloy decomposition. Our simulations reveal a number of peculiar kinetic features of multivariant orderings, many of them agreeing well with experimental observations.
“…As was repeatedly noted in sections 5-7, many results of our simulations, including those mentioned in points (i)-(vii), agree well with the experimental observations of multivariant orderings described in references [1][2][3][4][5][6][7]34,39]. This agreement can illustrate the opportunities to use the master equation approach of references [17][18][19][20] for the microscopical studies of most of the various problems of microstructural evolution in alloys.…”
supporting
confidence: 89%
“…and D in equations (33) and (34) in our models are positive at T = T s (c) (which probably follows from considerations of the thermodynamic stability). Therefore, these equations show that both the local order parameter η i and the local mean concentration c i have either a pit or a hump at the ζ -APB depending on the sign of the difference c + − 1/2.…”
Section: Structure Of Antiphase Boundaries In the D0 3 Phasesupporting
confidence: 58%
“…Moreover, simulation of a 2D version of the D0 3 ordering allows us to study also a kinetic behaviour of the so-called 'conservative' APBs which are often observed under multivariant orderings, e.g. under the L1 2 and L1 0 orderings [6,34]. For geometrical reasons discussed below, the conservative APBs are not formed in realistic 3D models of D0 3 ordering, such as our models 1 and 2, but such APBs can arise in a 2D version of model 2.…”
Section: Models and Methods Of Simulationmentioning
confidence: 99%
“…Let us also note that the APDs formed under In later stages of evolution, when the D0 3 order parameter has virtually reached its equilibrium value (figures 6(b)-6(f )), a large proportion of sufficiently long η-APBs become very thin and aligned along the (10) directions parallel to their vector of displacement b d = (1, 0)a or b d = (0, 1)a. In our 2D model 2, such boundaries present an example of the so-called conservative APBs, which can be viewed as a half-space of the ordered domain shifted along the displacement vector parallel to the APB [34]. Without relaxation, the average concentration in each plane parallel to a conservative APB is the same as in the bulk of the ordered phase.…”
Section: Kinetics Of A2 → D0 3 Transformationmentioning
The earlier-described master equation approach to the configurational kinetics of nonequilibrium alloys is used to study kinetic features of 'multivariant' orderings for which more than two types of ordered domain are possible. To this end we make extensive simulations of various phase transformations involving D0 3-type orderings for a number of alloy models. The microscopic structure of various antiphase boundaries in the D0 3 phase is also studied. A consistent approach to describing the effect of elastic forces on microstructural evolution is outlined and used to study the kinetics of a multivariant ordering accompanied by alloy decomposition. Our simulations reveal a number of peculiar kinetic features of multivariant orderings, many of them agreeing well with experimental observations.
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