Reactive Diffusion and Stresses

Гусак, А. М.; Lyashenko, Yu. O.; Bogatyrev, A.O.

doi:10.4028/www.scientific.net/ddf.129-130.95

Cited by 9 publications

(13 citation statements)

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“…(we consider solubility of A in B as negligible, so that C β ≈ 1, J (β) ≈ 0; we consider interfaces 1-2 and 2-B as nearly planar, so that nucleus 2 is platelike, see [19,20]). Evidently, the phase 2 width should change with the following rate (if one neglects the random joining/departures):…”

Section: 'Critical Nucleus'-what Does It Mean For Reactive Diffusion?mentioning

confidence: 99%

“…(a) Polymorphic mode [17,19,20,23]. This is possible if the parent metastable phase (for example, amorphous) can exist in the concentration range advantageous for a new intermediate phase.…”

Section: Thermodynamic Constraints On Nucleationmentioning

confidence: 99%

“…We consider three possible nucleation modes-polymorphic, transversal and total mixing modes. During the last decade the present authors and P Desre [17][18][19][20][21][22][23] calculated the dependences G(N, ∇C) for each mode. Here only the main results of these calculations are presented.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Kinetics of nucleation in the concentration gradient

Гусак¹,

Hodaj²,

Bogatyrev³

2001

J. Phys.: Condens. Matter

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The necessity of reconsidering the nucleation theory for the case of the initial stage of reactive diffusion is demonstrated. The existence of sharp concentration gradients and huge diffusion fluxes in the nucleation region changes both the thermodynamics and kinetics of nucleation as well as the very notions of critical nucleus and incubation time. In particular, the incubation period for intermediate phases depends on the diffusivity of the parent phase; nucleation behaviour for the `total mixing mode' can be non-monotonic; the result of competition of different nucleation modes depends on the ratio of diffusivities in the new and parent phases.

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Section: 'Critical Nucleus'-what Does It Mean For Reactive Diffusion?mentioning

confidence: 99%

Section: Thermodynamic Constraints On Nucleationmentioning

confidence: 99%

See 1 more Smart Citation

Kinetics of nucleation in the concentration gradient

Гусак¹,

Hodaj²,

Bogatyrev³

2001

J. Phys.: Condens. Matter

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“…A special procedure was developed based on the Boltzmann substitutions and polynomial expansion of the diffusion coefficients in powers of the concentration. The Tsample method allows the inverse problem of two-dimensional diffusion to be solved based on the experimental investigations of a single Т-sample [7,8]. In this case, the inverse diffusion problem solution is reduced to a solution of overdetermined system of linear algebraic equations.…”

Section: Introductionmentioning

confidence: 99%

“…To simplify the procedure, the T-sample method has been developed recently. In this method, two-dimensional diffusion fluxes in samples with special shape produce nonuniform concentration fields [6][7][8]. A special procedure was developed based on the Boltzmann substitutions and polynomial expansion of the diffusion coefficients in powers of the concentration.…”

Section: Introductionmentioning

confidence: 99%

Entropy production as a regularization factor in solving an inverse diffusion problem

Lyashenko

Shmatko

2006

Russ Phys J

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Inverse diffusion problems allow the diffusion coefficients to be determined from experimental concentration profiles. Solutions of the inverse diffusion problem are unstable toward perturbations of the initial concentration profiles. By the example of inverse diffusion problem solution for a model binary system it is demonstrated that the use of the production entropy to minimize the discrepancy functional stabilizes the solution even for significant perturbations of the initial concentration profile. The choice of the entropy production for the smoothing component of the discrepancy functional is physically adequate to the formulated problem, and the entropy production can be used to solve inverse problems of heat and mass transfer.

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Nucleation in a Concentration Gradient

Гусак¹,

Hodaj²

2005

Nucleation Theory and Applications

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Reactive Diffusion and Stresses

Cited by 9 publications

References 0 publications

Kinetics of nucleation in the concentration gradient

Kinetics of nucleation in the concentration gradient

Entropy production as a regularization factor in solving an inverse diffusion problem

Nucleation in a Concentration Gradient

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