Time evolution of a quenched binary alloy. IV. Computer simulation of a three-dimensional model system

Bortz, Alfred B.; Kalos, M. H.; Lebowitz, Joel L.; Zendejas, M. A.

doi:10.1103/physrevb.15.3014

Cited by 123 publications

(26 citation statements)

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“…The result seems to agree with the predictions of the classical spinodal theory. However, a recent non-linealized spinodal theory due to Langer(5)(12)(13), computer simulations based on the kinetic Ising model due to Sur et al (6) and Marro et al (7), and those based on the cluster kinetic model due to Binder et al(8) (9) had a suspition about the fixed location of the spinodal curve and its physical meaning: They emphasized that the spinodal curve defined in the classical spinodal theory has no physical significance and the boundary between N-G and S processes is vague. Katano and Iizumi(10)(11) studied the decomposition kinetics of the 24, 32, and 40%Cr alloys by means of neutron scattering, and concluded that the decomposition of Fe-Cr alloys is well explained by the recent spinodal theory due to Langer(12)(13) and computer simulations (6)-(9) mentioned above on the whole.…”

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confidence: 99%

Mössbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

Kuwano

1985

Trans. JIM

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The concentration and temperature dependences of the incubation time, the analysis of the transformation rate based on the Johnson-Mehl equation, and the time evolution of the Mossbauer spectrum suggest that the nucleation and growth process plays a dominant role in the phase decomposition of Fe-Cr alloys around 748 K in the concentration range from 21 to 36.3%Cr. The spinodal decomposition becomes predominant in the concentration range from 42 to about 60 %Cr. The decomposition mode shows a gradual transition from the nucleation and growth to the spinodal decomposition with increasing Cr content.

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confidence: 99%

Mössbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

Kuwano

1985

Trans. JIM

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“…That is, one observes [36][37][38][39] a "gas phase" including monomers, dimers, etc., a "liquid phase" which consists of rather large clusters, say r n > m o and a well-defined gap at intermediate values of m; moreover, the gas phase remains quasi-stationary after that transient time [38,39]. The cluster distribution at equilibrium, i.e.…”

Section: Cluster Evolution and Energymentioning

confidence: 99%

Dynamics of phase separation: Cluster kinetics and self-similarity property of the structure function

Marro

Toral

1986

Physica B+C

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We derive simple relations between the structure function, grain distribution and system excess energy during the phase separation processes occurring in a variety of mixtures suddenly cooled inside the miscibility gap. This allows to relate experimental observations performed by different techniques, namely small-angle scattering, microscopy and calorimetry, over a wide range of times and concentrations including the occurrence of percolation. We discuss in particular the self-similarity or dynamical scaling property of the structure function and other facts in the light of the proposed relations. In particular, we find no evidence of a behavior with time R(t) ~ In(t) for the mean grain size in alloys, except perhaps at very late times when it seems a small correction to the predominant behavior R(t) ~ t 1/3.

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“…The classical hypothesis that consists in assuming slow enough variations of external control parameters for nucleation to occur in some kind of quasi-steady state is thus too simple. The theory was therefore extended to take into account i) the formation and the growth of clusters of varying shape and compactness [7,8] and, later on, ii) the time dependence of homogeneous nucleation at constant temperature [9]. Using time-resolved neutron scattering to study the early stages of nucleation and growth 106 The European Physical Journal E in polymer mixtures, Balsara et al [10] showed that measurements were not entirely in agreement with any of the available predictions.…”

Section: Introductionmentioning

confidence: 97%

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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Time evolution of a quenched binary alloy. IV. Computer simulation of a three-dimensional model system

Cited by 123 publications

References 26 publications

Mössbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

Mössbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

Dynamics of phase separation: Cluster kinetics and self-similarity property of the structure function

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

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Time evolution of a quenched binary alloy. IV. Computer simulation of a three-dimensional model system

Cited by 123 publications

References 26 publications

M&ouml;ssbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

M&ouml;ssbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

Dynamics of phase separation: Cluster kinetics and self-similarity property of the structure function

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

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Mössbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys

Mössbauer Effect Study on the Mechanism of the Phase Decomposition in Iron-Chromium Alloys