Void lattice formation as a nonequilibrium phase transition

Семенов, А.А.; Woo, C.H.

doi:10.1103/physrevb.74.024108

Cited by 29 publications

(55 citation statements)

References 61 publications

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“…equation system (1) in [31] with equations (5) and (6) in [18]). Another attempt was made by Semenov and Woo [32,33]. Their analysis was based on the assumption of the existence of the stationary size-distribution function of voids.…”

Section: Introductionmentioning

confidence: 99%

On the onset of void ordering in metals under neutron or heavy-ion irradiation

Barashev

Golubov

2010

Philosophical Magazine

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. On the onset of void ordering in metals under neutron or heavy-ion irradiationAlexander V Barashev, Stanislav I Golubov To cite this version:Alexander V Barashev, Stanislav I Golubov. On the onset of void ordering in metals under neutron or heavy-ion irradiation. Philosophical Magazine, TaylorFrancis, 2010, 90 (13) Formation of void lattices is observed in a number of metals and alloys under high-energy particle bombardment. Here we derive the conditions for destabilisation of homogeneous void arrangement using an approach developed for the description of lane formation in pedestrian crowds. The model is based on the Foreman's mechanism of void alignment due to onedimensionally-migrating clusters of self-interstitial atoms. The results show that spatial correlations between voids should exist above some very small size, unless correlations with other defects prevail. It is shown that spatial correlations of voids with dislocations and secondphase precipitates should also evolve and provide a powerful driving force for further swelling.

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Section: Introductionmentioning

confidence: 99%

On the onset of void ordering in metals under neutron or heavy-ion irradiation

Barashev

Golubov

2010

Philosophical Magazine

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“…The interesting case occurs when the 1-D SIA component is small but non-negligible, and the void sink strength k 2 c is much larger than the dislocation density ρ, e.g., ρ/k 2 c ∼ 10 −2 . As pointed out in [14], void growth tends to saturate under such circumstances, and a random void distribution may become unstable. Indeed, in this case, a small 1-D SIA fraction of only 10 −2 is still sufficiently large to induce a phase transition to form a void lattice.…”

Section: Void-growth Saturation Due To 1-d Siasmentioning

confidence: 96%

“…Hence, the influx of SIAs into the voids increases faster than the vacancy influx when a critical void size is exceeded. With increasing void size the net vacancy influx decreases monotonically to zero, with the void radius finally saturating at a stationary value determined by the absorption cross section of dislocations for 1-D SIAs [4,14,15]. Further void growth gives rise to an increase of the interstitial absorption rate at the voids at the expense of the interstitial absorption at dislocations.…”

Section: Void-growth Saturation Due To 1-d Siasmentioning

confidence: 97%

“…The fact is, as we will show in subsequent discussions, that unless the 1-D character of the SIAs is substantially reduced, so that the "1-D" features of the void ensemble are sufficiently mellowed, its "3-D" character cannot be stable. In this regard, Semenov and Woo [14] found that a sufficiently strong driving force for void-lattice formation can be provided by just a small fraction of 1-D SIAs. The subject of this paper is to determine quantitatively the fraction of 1-D SIAs that is sufficiently small to provide the near-3-D kinetics required for void swelling but, on the other hand, sufficiently large to produce the DAD effect required for void-lattice formation.…”

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confidence: 99%

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Diffusion anisotropy and void development under cascade irradiation

2008

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Cascade irradiation of metals gives rise to swelling as a result of the creation of voids and the evolution of the void ensemble. Under suitable circumstances, the originally disordered void distribution transforms into to a void lattice. As demonstrated previously, the understanding of the evolution and the unique features of the void ensemble requires a difference in the anisotropy of the diffusion (DAD) of vacancies and self-interstitial atoms (SIAs), which is achieved by one-dimensional diffusion of the SIAs. On the other hand, void swelling has been successfully modeled in terms of three-dimensional diffusion of both vacancies and SIAs. In the present paper it is shown that these seemingly contradicting interpretations and all related observations can be quantitatively reconciled by a small DAD created by only ∼1% of SIAs diffusing one-dimensionally. It is also demonstrated that at the initial stage of void-lattice formation, ordering occurs mainly on close-packed crystal planes, which is in contrast to the naïve expectation that one- A difference between the anisotropies of diffusion of vacancies and self-interstitials (henceforth called Diffusional Anisotropy Difference or, briefly, DAD) gives rise to a bias that plays an important role in the irradiation-induced evolution of microstructures in metals. Based on Gösele's work [1] on reaction kinetics, the DAD effect was first introduced by Woo and Gösele [2] to explain irradiation growth. Later irradiation creep and void-lattice formation were interpreted in terms of DAD by Woo [3] and Woo and Frank [4], respectively, before DAD has been promoted to an important concept in the treatment of irradiation damage in non-cubic metals by Woo [5,6].The role played by DAD in the irradiation-induced transformation of a void ensemble from a randomly distributed collection to a highly ordered void lattice was summarized by Woo and Frank [7]: ". . . the one-dimensional migration of the (interstitial) crowdions. . . is in marked contrast to the three-dimensional diffusion of the dumbbell interstitials and the vacancies. This diffusional anisotropy difference between the crowdions and vacancies provides the source of ordering via a Darwinian selection among randomly distributed voids." Hence, the strength of DAD is important to the behavior of a void ensemble under irradiation, and at the same time, the evolution of the void ensemble reflects the

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“…The activation energy for the 1D glide motion, EMD, was evaluated to be less than 0.1 eV, [5][6][7][8][9] which meant that the 1D diffusion was an extremely fast process. This phenomenon is believed to play key roles in the degradation processes of radiation-resistant materials used in nuclear-fission and fusion devices; [10][11][12] therefore, it has also been theoretically [13][14][15] and experimentally [16][17][18][19][20][21][22] studied.…”

Section: Introductionmentioning

confidence: 99%

One-Dimensional Glide Motion of “Naked” Nanoscale 1/2^|^lt;111^|^gt; Prismatic Dislocation Loops in Iron

et al. 2014

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One-dimensional (1D) glide diffusion of interstitial-type prismatic dislocation loops is believed to play key roles in microstructural evolutions within nuclear-fusion and fission materials upon energetic particle irradiation. In the present study, using in-situ transmission electron microscopy, we have examined behaviors of nanoscale 1/2<111> loops in high-purity α-iron at "low temperatures" ranging from 15 to 290 K, under zero external stress. We observed 1D intermittent and fast motion of loops above approximately 100 K, which was significantly different from the 1D continuous and viscous motion observed at "high temperatures" above approximately 450 K. The estimated lower-limit values of diffusivities for "low temperatures" were considerably higher than the values obtained through the extrapolation of the temperature dependence of the diffusivities at "high temperatures." These results support the idea that strong obstacles for loop motion are formed by heating of the specimens to "high temperatures" after the introduction of loops.

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Void lattice formation as a nonequilibrium phase transition

Cited by 29 publications

References 61 publications

On the onset of void ordering in metals under neutron or heavy-ion irradiation

On the onset of void ordering in metals under neutron or heavy-ion irradiation

Diffusion anisotropy and void development under cascade irradiation

One-Dimensional Glide Motion of “Naked” Nanoscale 1/2^|^lt;111^|^gt; Prismatic Dislocation Loops in Iron

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