Influence of a continuous quenching procedure on the initial stages of spinodal decomposition

Carmesin, Hans-Otto; Heermann, Dieter W.; Binder, Kurt

doi:10.1007/bf01308403

Cited by 48 publications

(29 citation statements)

References 22 publications

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“…However, it is known that the thermal history of the alloy plays a role for the subsequent aging kinetics. For instance, it has been shown that the cooling rate after solution treatment is important [13][14][15][16] and a few reports point out the effect of the solution treatment temperature on the subsequent phase decomposition [17,18]. Vintaykin et al [17] investigated the kinetics of decomposition after solution treatments at different temperatures in the range from 600 to 1300°C.…”

Section: Introductionmentioning

confidence: 99%

Effect of solution treatment on spinodal decomposition during aging of an Fe-46.5 at.% Cr alloy

et al. 2016

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Spinodal decomposition is a key phase transition in advanced materials and a significant effort is paid to the quantitative modeling of the phenomenon. The initial materials condition is often assumed to be random during modeling, but this may be an oversimplification. In this work, the effect of solution treatment above the miscibility gap, on spinodal decomposition during subsequent aging, has been investigated for an Fe-46.5 at.% Cr alloy. By atom probe tomography (APT), it is found that different extents of quenched-in Cr clustering exist after solution treatments at different temperatures. The clustering is pronounced at 800°C but decreases significantly with increasing temperature to 900°C. Thermodynamic Monte Carlo simulations show that there is a difference in atomic short range order between the different solution treatment temperatures. By APT, it is, furthermore, found that the kinetics of spinodal decomposition at 500°C, i.e., within the miscibility gap, is enhanced in the initial alloy condition, where Cr was less randomly distributed. These observations are supported by kinetic Monte Carlo simulations, predicting a similar but less pronounced qualitative effect on spinodal decomposition kinetics. Other possible reasons for the enhanced kinetics could be related to clustering of interstitial elements and/ or sigma phase, but neither was found in the experiments. Nonetheless, the observations in this work suggest that it is necessary to implement a modeling strategy, where the initial structure is properly accounted for when simulating spinodal decomposition.

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Section: Introductionmentioning

confidence: 99%

Effect of solution treatment on spinodal decomposition during aging of an Fe-46.5 at.% Cr alloy

et al. 2016

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“…Since the seminal work by Huston et al [14] on spinodal decomposition under continuous cooling, such a complicated time-dependent situation, still under discussion, has been the central subject of numerous publications. Beside the theoretical value [15][16][17][18][19][20][21][22], understanding transient kinetics of nucleation has important practical implications in glass-forming substances [23] due to the usually very slow dynamics at low temperatures. Time dependence could also have a strong incidence on early stage growth interpretation in terms of universal behaviors.…”

Section: Introductionmentioning

confidence: 99%

Nucleation and early stage growth in phase-separating liquid mixtures under weak time-dependent supersaturation

Delville

Ducasse

2000

Eur. Phys. J. E

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In the standard description of phase separation, quenching from an initial equilibrium state to a final metastable state in the two-phase region is usually assumed to be instantaneous. Such an artificial situation is nevertheless intrinsically at variance with experiments because the quench rate is finite due to the continuous changes in thermodynamic parameters between the initial and final states. We experimentally explore this issue in near-critical micellar phases of microemulsion with induced transient grating techniques, focusing our attention on the very early stage of droplet growth, where the influence of the time dependence of supersaturation is the strongest. The experiment makes use of laser-induced concentration variations to locally quench the mixture with two intersecting pump beams, whose interference pattern optically traps the nucleated droplets on fringes. Due to the slow mass diffusion kinetics of quenches in composition, the time-resolved reflectivity of a third probe beam on the resulting droplet grating allows us to determine the mean nucleation time and the mean quench depth at the beginning of the decay of the metastable state. By varying the amplitudes of the control parameters (beam power, beam radii), we are able to characterize the dynamic properties of nucleation onset during continuous quenching. The results are interpreted in the light of very simple scaling arguments. We show in particular that R C ∝ tC 1/3 for a weak linear temporal variation of the supersaturation, where RC and tC are, respectively, the measured critical radius and nucleation time.

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“…In practice, temperature changes occur on nonzero time-scales, which can have interesting physical consequences. 23 …”

Section: Phase Separation In the Kawasaki-ising Model With A Timementioning

confidence: 99%

Control of structure formation in phase-separating systems

Singh

Mukherjee

Vermeulen

et al. 2011

The Journal of Chemical Physics

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Oxygen vacancy segregation and space-charge effects in grain boundaries of dry and hydrated BaZrO3 Appl. Phys. Lett. 100, 061903 (2012) Phase separation dynamics in a two-dimensional magnetic mixture J. Chem. Phys. 136, 024502 (2012) Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems J. Chem. Phys. 134, 164505 (2011) Modeling phosphorus diffusion gettering of iron in single crystal silicon J. Appl. Phys. 105, 023510 (2009) Use of an enhanced bulk diffusion-based algorithm for phase separation of a ternary mixture J. Chem. Phys. 129, 184115 (2008) Additional information on J. Chem. Phys. In this paper, we study the evolution of phase-separating binary mixtures which are subjected to alternate cooling and heating cycles. An initially homogeneous mixture is rapidly quenched to a temperature T 1 < T c , where T c is the critical temperature. The mixture undergoes phase separation for a while and is then suddenly heated to a temperature T 2 > T c . These cycles are repeated to create a domain morphology with multiple length scales, i.e., the structure factor is characterized by multiple peaks. For phase separation in d = 2 systems, we present numerical and analytical results for the emergence and growth of this multiple-scale morphology.

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Influence of a continuous quenching procedure on the initial stages of spinodal decomposition

Cited by 48 publications

References 22 publications

Effect of solution treatment on spinodal decomposition during aging of an Fe-46.5 at.% Cr alloy

Effect of solution treatment on spinodal decomposition during aging of an Fe-46.5 at.% Cr alloy

Nucleation and early stage growth in phase-separating liquid mixtures under weak time-dependent supersaturation

Control of structure formation in phase-separating systems

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