Noise induced patterning in periodic systems with conserved dynamics

Kharchenko, Dmitrii O.; Lysenko, Irina O.; Kharchenko, Vasyl O.

doi:10.1016/j.physa.2010.04.027

Cited by 23 publications

(19 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This model was exploited to study phase decomposition and patterning processes under irradiation (see [8,9,[33][34][35][36][37]). It is known that a generation of point defects due to irradiation produces structural disorder and results in emergence of uncompensated deformation fields.…”

Section: Downloaded By [University Of Otago] At 23:56 29 July 2015mentioning

confidence: 99%

“…This model of the ballistic mixing was proposed in Ref. [32] and effectively used to study pattern formation in crystalline one-component systems and phase separation processes in binary systems under sustained irradiation [8,9,[33][34][35][36][37]. In our study we consider two cases of constant rate mechanical loading: (i) shear strain and (ii) cyclic loading.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling microstructure evolution of binary systems subjected to irradiation and mechanical loading

Kharchenko

Shchokotova

Lysenko

et al. 2015

Radiation Effects and Defects in Solids

View full text Add to dashboard Cite

We study a change in mechanical properties of binary systems subjected to irradiation influence described by ballistic flux of atomic mixing having regular and stochastic contributions. By using numerical modeling based on the phase field approach we study dynamics of deformation fields in a previously irradiated system and in the binary system deformed during irradiation. An influence of both deterministic and stochastic components of ballistic flux onto both yield strength and ultimate strength is studied. We have found that degradation of mechanical properties relates to the formation of percolating clusters of shear bands. Considering a hardening coefficient we analyze stages of plastic deformation of both initially irradiated alloy and alloy subjected to sustained irradiation. Stability of binary alloy under mechanical loading in the form of shear strain with a constant rate and cyclic deformation is discussed.

show abstract

Section: Downloaded By [University Of Otago] At 23:56 29 July 2015mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling microstructure evolution of binary systems subjected to irradiation and mechanical loading

Kharchenko

Shchokotova

Lysenko

et al. 2015

Radiation Effects and Defects in Solids

View full text Add to dashboard Cite

show abstract

“…Проведено аналізу поведінки системи на початкових стадіях її еволюції та роз-винуто теорію середнього поля для аналізи стаціонарної поведінки системи [59].…”

Section: структуроутворення у періодичних системах зі стохастичними фunclassified

“…(61)). Фун-кціонал вільної енергії приймемо у вигляді (59). Із узагальненого вигляду для потоку випливає, що відповідні флюктуації мають ха-рактеризуватися кореляційною функцією, що співпадає з функці-єю пам'яті.…”

Section: статистичне представлення бінарної системи параболічного типunclassified

Modelling of Microstructural Transformations in the Systems Subject to Radiation Influence

2012

View full text Add to dashboard Cite

Розвинуто формалізм для послідовного опису мікроструктурних перетво-рень і фазового розшарування у системах, що перебувають у сильно нерів-новажних умовах, викликаних дією опромінення. Аналізу проведено в ра-мках методи фазового поля кристалу, що дає змогу проводити дослідження на просторових масштабах молекулярної динаміки, однак на часових інте-рвалах дифузійної динаміки. Виявлено умови перебігу мікроструктурних перетворень у періодичних однокомпонентних системах кристалічного ти-пу за наявности конкурувальних стохастичних потоків: термічно стиму-льованого та балістичного перемішування атомів. Аналізою поведінки сис-тем на більш високому ієрархічному рівні для бінарних систем еквіатомо-вого складу встановлено реверсивний характер перебігу процесу фазового розшарування. Для систем із несумірними часовими масштабами розпо-всюдження збурень, що характеризуються ефектами пам'яті, виявлено присутність процесів відбору структур за наявности флюктуацій довжин стрибків атомів, вибитих високоенергетичними частинками.Formalism is developed for description of microstructure transformations and phase separation in systems under irradiation. Investigation is made within the scope of the crystal phase-field method. This approach allows one to simulate materials on the molecular-dynamics spatial scales but on the diffusivedynamics temporal scales. Considering a model for a periodic one-component system driven by both competing stochastic fluxes-thermally-stimulated and external ballistic mixing flues of atoms, conditions of microstructuretransformations' appearance are determined. Analysis of the system on a mesoscopic level for a binary equiatomic system is performed. Reentrant character of phase-separation process is revealed. For systems with transient dynamics, for instance, with incommensurable time scales of propagation of disturbances, which are characterized by the memory effects, at presence of fluc- Fiz. Met. 2012, т. 13, сс. 101-187 Оттиски доступны непосредственно от издателя Фотокопирование разрешено только в соответствии с лицензией © 2012 ИМФ (Институт металлофизики им. Г. В. Курдюмова НАН Украины) Напечатано в Украине.

show abstract

“…The corresponding external noise induced patterning in onecomponent periodic systems with conserved dynamics and τ D → 0 was discussed in Ref. [45]. It was shown that fluctuations of the external flux are responsible for formation of strip patterns at different initial conditions for the average (r = 0) .…”

Section: Modelmentioning

confidence: 99%

Pattern selection processes and noise induced pattern-forming transitions in periodic systems with transient dynamics

Kharchenko

Lysenko

2011

Open Physics

View full text Add to dashboard Cite

Abstract:We apply the phase field crystal method for nonequilibrium patterning to stochastic systems with an external source in which transient dynamics is essential. Considering a prototype model for a one-component periodic system subjected to external influence kind of irradiation we study properties of pattern selection processes and external noise induced pattern-forming transitions. These processes are examined by means of the structure function dynamics analysis. Nonequilibrium pattern-forming transitions are analyzed numerically. PACS

show abstract

Noise induced patterning in periodic systems with conserved dynamics

Cited by 23 publications

References 24 publications

Modeling microstructure evolution of binary systems subjected to irradiation and mechanical loading

Modeling microstructure evolution of binary systems subjected to irradiation and mechanical loading

Modelling of Microstructural Transformations in the Systems Subject to Radiation Influence

Pattern selection processes and noise induced pattern-forming transitions in periodic systems with transient dynamics

Contact Info

Product

Resources

About