Kinetics of crystalline configurations

Baal, C. M. van

doi:10.1016/0378-4371(82)90009-7

Cited by 10 publications

(2 citation statements)

References 7 publications

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“…In other types of kinetic models, including the microscopic master equations [7][8][9][10][11][12][13][14][15] and the path probability method ͑PPM͒ ͑Refs. 16-22͒, free-energy functionals do not explicitly enter into the kinetic equations of motion.…”

Section: Introductionmentioning

confidence: 99%

Kinetics of ordering and spinodal decomposition in the pair approximation

Chen

1998

Phys. Rev. B

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The kinetics of atomic ordering and phase separation in inhomogeneous systems were investigated employing microscopic master equations in the pair approximation. For a homogeneous system at completely thermodynamic equilibrium, the kinetic equations produce the same equilibrium states as the cluster variation method. We studied the kinetics of both short-and long-range order and spinodal decomposition kinetics, as well as the morphological pattern formation and evolution. It is shown that the development of long-range order and growth of concentration wave amplitudes are significantly delayed due to the decreases in driving forces as a result of short-range order relaxation in the pair approximation as compared to that obtained from the point approximation with the same initial condition. It is demonstrated that the kinetics obtained by assuming the pair distribution functions always at equilibrium is found to be a good approximation for the pair approximation. The effect of bond energies on the ordering kinetics will be discussed.

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Section: Introductionmentioning

confidence: 99%

Kinetics of ordering and spinodal decomposition in the pair approximation

Chen

1998

Phys. Rev. B

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“…With the help of Van Kampen's Q-expansion [2] it then was possible to extract from (1) a macroscopic rate equation for essentially the short range order parameter (or nearest neighbour correlation number) in a binary alloy model, supplemented by one for the magnetization in a magnetic model. In a second paper (further to be called 11) [3] this work was extended to include long range and antiferromagnetic order. The results in I and I1 were found to be generalizations of earlier work by Vineyard [4], Kidin and Shtremel' [5] and Kikuchi [6].…”

Section: Introductionmentioning

confidence: 99%

Kinetics of a Unidirectionally Inhomogeneous Ising Alloy

Baal

1983

Ber Bunsenges Phys Chem

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A new way of treating kinetic problems in crystalline systems, applied earlier to homogeneous systems, here is applied to the Hillert model of an alloy i.e. to a model in which it is assumed that inhomogeneities in composition only exist in one crystal direction. For this model the diffusion equations are derived and shown to lead to equilibrium. The equations are solved in linear approximation. The solutions are unstable inside the spinodal and have characteristics that are in very good agreement with the Cahn‐Hilliard theory of spinodal decomposition.

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Investigation of short-range order by electrical resistivity measurement

Pfeiler

1988

Acta Metallurgica

119

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Kinetics of crystalline configurations

Cited by 10 publications

References 7 publications

Kinetics of ordering and spinodal decomposition in the pair approximation

Kinetics of ordering and spinodal decomposition in the pair approximation

Kinetics of a Unidirectionally Inhomogeneous Ising Alloy

Investigation of short-range order by electrical resistivity measurement

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