Three dimensional structures predicted by the modified phase field crystal equation / Bueno J., Starodumov I., Gomez H., Galenko P., Alexandrov D. // Computational Materials Science. - 2016. - V. 111, l. . - P. 310-312.

ISSN:

09270256

Type:

Article

Abstract:

We present the first numerical results on three dimensional structures predicted by the modified phase field crystal equation. The computations are performed using parallel algorithms based on isogeometric analysis, a generalization of the finite element method. The evolution of crystal structures to their steady equilibrium state is predicted for various atomic densities and temperatures. These steady structures are consistent with the phase diagram predicted earlier using one-mode approximations of analytical solutions to the classical parabolic phase-field crystal equation. © 2015 Elsevier B.V. All rights reserved.

Author keywords:

Crystal; Isogeometric analysis; Parallel computing; Phase field

Index keywords:

Crystals; Finite element method; Parallel processing systems; Atomic density; Equilibrium state; Isogeometric analysis; Mode approximations; Numerical results; Phase fields; Phase-field crystals; Thre

DOI:

10.1016/j.commatsci.2015.09.03

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84943566451&doi=10.1016%2fj.commatsci.2015.09.038&partnerID=40&md5=3c195b02bed943167bfeaca1e8baf1c1

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84943566451&doi=10.1016%2fj.commatsci.2015.09.038&partnerID=40&md5=3c195b02bed943167bfeaca1e8baf1c1
Affiliations	Departamento de Métodos Matemáticos e de Representación, Universidade da Coruña, Campus de Elviña, A Coruña, Spain; Laboratory of Multi-scale Mathematical Modeling, Department of Mathematical Physics, Ural Federal University, Ekaterinburg, Russian Federation; Friedrich-Schiller-Universität Jena, Physikalisch-Astronomische Fakultät, Jena, Germany
Author Keywords	Crystal; Isogeometric analysis; Parallel computing; Phase field
Funding Details	14-29-10282, RFBR, Russian Foundation for Basic Research; 315, Russian Foundation for Basic Research
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Correspondence Address	Bueno, J.; Departamento de Métodos Matemáticos e de Representación, Universidade da Coruña, Campus de ElviñaSpain
Publisher	Elsevier
CODEN	CMMSE
Language of Original Document	English
Abbreviated Source Title	Comput Mater Sci
Source	Scopus