Evolution of vacancy pores in bounded particles

Yanovsky, Vladimir; Kopp, M. I.; Ratner, M. A.

doi:10.48550/arxiv.1809.06565

Cited by 3 publications

(20 citation statements)

References 11 publications

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“…The obtained equation set (19), ( 21) and ( 2) determines completely evolution of the gasfilled pore and the granule. In the limiting case when the gas is absent, N g = 0, equations ( 19), ( 21) and ( 2) agree with results of the work [18].…”

Section: Statement Of the Problem And Derivation Of Basic Equationssupporting

confidence: 83%

“…Let us now turn to the equation for the time change of gas atoms number N g in the pore. Substituting the exact solution (2) into ( 14) and performing integration in (18), one obtains the following equation (derivation details are given in the Appendix):…”

Section: Statement Of the Problem And Derivation Of Basic Equationsmentioning

confidence: 99%

“…In the limiting case when the gas is absent, equation set (29) turns to that obtained in the work [18] for the behavior of vacancy pore.…”

Section: Statement Of the Problem And Derivation Of Basic Equationsmentioning

confidence: 99%

“…to the case when in the nanoparticle center large vacy pores are situated. Analytical theory of diffusive interaction of the nanoshell and the pore situated at arbitrary distance from particle center was considered in the work [18]. With the supposition of quasiequilibrium of diffusive fluxes, the equations have been obtained analytically for the change of the radii of pore and spherical granule as well as of center-to-center distance between the pore and the granule.…”

Section: Introductionmentioning

confidence: 99%

“…With the supposition of quasiequilibrium of diffusive fluxes, the equations have been obtained analytically for the change of the radii of pore and spherical granule as well as of center-to-center distance between the pore and the granule. In [18], the absence of critical pore size has been demonstrated unlike the case of inorganic matrix. In general case, pore in such particles dissolves diffusively, while diminishing in size and shifting towards granule center.In the work [19], the evolution of gas-filled pore was considered in a simple case of zero diffusion coefficient of the gas in the matrix.…”

Section: Introductionmentioning

confidence: 99%

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Gas-filled pore in bounded particle

Yanovsky¹,

Kopp²,

Ratner³

2019

Preprint

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The diffusive evolution has been studied of gas-filled pore has in a bounded particle in gas media. The nonlinear equation set, describing the behaviour of gas-filled pore on bounded particle is obtained. Asymptotic modes are considered for evolution of small and large pores. Analytical solutions are obtained in asymptotic modes. The comparison is conducted of these solutions with results of numerical solution of complete equation set. The characteristic regularities of gas-filled pore behavior are found at arbitrary pore position relative to matrix particle center.

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Section: Statement Of the Problem And Derivation Of Basic Equationssupporting

confidence: 83%

Section: Statement Of the Problem And Derivation Of Basic Equationsmentioning

confidence: 99%

“…In the limiting case when the gas is absent, equation set (29) turns to that obtained in the work [18] for the behavior of vacancy pore.…”

Section: Statement Of the Problem And Derivation Of Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Gas-filled pore in bounded particle

Yanovsky¹,

Kopp²,

Ratner³

2019

Preprint

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Evolution of vacancy pores in bounded particles

Yanovsky¹

2019

Funct.Mater.

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In the present work, evolution of gas-filled pore inside spherical nanoshells is considered. On the supposition that diffusion fluxes are quasistationary, the nonlinear equation system is obtained analytically, that describes completely the behaviour of gas-filled pore and matrix shell. Two limiting cases are considered: the case when the pore is small as compared to the matrix shell and the case of the pore close to the matrix shell boundary. The characteristic regularities of pore behaviour are established.

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Review on Theoretical Models of Void Evolution in Crystalline Particles

Krasnitckii,

Gutkin

2021

Rev Adv Mater Tech

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In the review, the up-to-date theoretical research of various aspects of void evolution problem in hollow crystalline micro- and nanostructures is summarized. A classification of hollow architectures of micro- and nanostructures distinguishing the main procedures of void (pore) production as well as the influence of the voids on functional properties of the devices based on hollow structures, is suggested. The factors responsible for the void evolution process are discussed. Finally, theoretical models of the void evolution describing shrinkage and growth processes in particles of various structures are considered in terms of kinetics and thermodynamics concepts.

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Evolution of vacancy pores in bounded particles

Cited by 3 publications

References 11 publications

Gas-filled pore in bounded particle

Gas-filled pore in bounded particle

Evolution of vacancy pores in bounded particles

Review on Theoretical Models of Void Evolution in Crystalline Particles

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