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Original Articles

Thermodynamic consistency and fast dynamics in phase-field crystal modeling

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Pages 517-526 | Received 26 Dec 2011, Accepted 23 Apr 2012, Published online: 29 May 2012

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Michael te Vrugt, Hartmut Löwen & Raphael Wittkowski. (2020) Classical dynamical density functional theory: from fundamentals to applications. Advances in Physics 69:2, pages 121-247.
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H. Wang, C. Lai, X. Zhang, W. Kuang & F. Liu. (2015) Modeling of non-equilibrium solute diffusion upon rapid solidification: effective mobility versus kinetic energy. Materials Science and Technology 31:13, pages 1649-1657.
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Heike Emmerich, Hartmut Löwen, Raphael Wittkowski, Thomas Gruhn, Gyula I. Tóth, György Tegze & László Gránásy. (2012) Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview. Advances in Physics 61:6, pages 665-743.
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Articles from other publishers (7)

Ilya Starodumov, Vladimir Ankudinov & Irina Nizovtseva. (2022) A review of continuous modeling of periodic pattern formation with modified phase-field crystal models. The European Physical Journal Special Topics 231:6, pages 1135-1145.
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Vladimir Ankudinov, Ilya Starodumov, Nikita P. Kryuchkov, Egor V. Yakovlev, Stanislav O. Yurchenko & Peter K. Galenko. (2020) Correlated noise effect on the structure formation in the phase‐field crystal model. Mathematical Methods in the Applied Sciences 44:16, pages 12185-12193.
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Ivan Yu. Kukuev, Ilya O. Starodumov, Evgeniy V. Pavlyuk & Sergey I. Osipov. Analysis of MPFC dynamics using ParaView Python scripting. Analysis of MPFC dynamics using ParaView Python scripting.
Ilya Starodumov, Vladimir Ankudinov & Peter Galenko. (2019) Crystal structures predicted by the PFC method with atomic density fluctuations. Materials Today: Proceedings 11, pages 118-123.
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A. Salhoumi & P.K. Galenko. (2016) Gibbs–Thomson condition for the rapidly moving interface in a binary system. Physica A: Statistical Mechanics and its Applications 447, pages 161-171.
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Maurizio Grasselli & Hao Wu. (2015) Robust exponential attractors for the modified phase-field crystal equation. Discrete & Continuous Dynamical Systems - A 35:6, pages 2539-2564.
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Ebrahim Asadi & Mohsen Asle Zaeem. (2014) A Review of Quantitative Phase-Field Crystal Modeling of Solid–Liquid Structures. JOM 67:1, pages 186-201.
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