The Hodograph Equation for Slow and Fast Anisotropic Interface Propagation

Galenko, P. K.; Salhoumi, A.

doi:10.1098/rsta.2020.0324

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Поле DC	Значение	Язык
dc.contributor.author	Galenko, P. K.	en
dc.contributor.author	Salhoumi, A.	en
dc.date.accessioned	2022-05-12T08:17:35Z	-
dc.date.available	2022-05-12T08:17:35Z	-
dc.date.issued	2021	-
dc.identifier.citation	Galenko P. K. The Hodograph Equation for Slow and Fast Anisotropic Interface Propagation / P. K. Galenko, A. Salhoumi // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2021. — Vol. 379. — Iss. 2205. — 20200324.	en
dc.identifier.issn	1364-503X	-
dc.identifier.other	All Open Access, Hybrid Gold, Green	3
dc.identifier.uri	http://elar.urfu.ru/handle/10995/111408	-
dc.description.abstract	Using the model of fast phase transitions and previously reported equation of the Gibbs-Thomson-type, we develop an equation for the anisotropic interface motion of the Herring-Gibbs-Thomson-type. The derived equation takes the form of a hodograph equation and in its particular case describes motion by mean interface curvature, the relationship 'velocity - Gibbs free energy', Klein-Gordon and Born-Infeld equations related to the anisotropic propagation of various interfaces. Comparison of the present model predictions with the molecular-dynamics simulation data on nickel crystal growth (obtained by Jeffrey J. Hoyt et al. and published in Acta Mater. 47 (1999) 3181) confirms the validity of the derived hodograph equation as applicable to the slow and fast modes of interface propagation. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Authors.	en
dc.description.sponsorship	Data accessibility. Electronic supplementary material on asymptotic analysis of the hyperbolic phase field model are attached to the main text of the manuscript. Authors’ contributions. Both authors contributed to the derivation, analytical treatments and analysis of results. A.S. carried out calculations for comparison of the analytical equation with data of molecular dynamics simulations. Competing interests. We declare we have no competing interests. Funding. The funding has been made for P.K.G. by German Science Foundation (DFG-Deutsche Forschungsgemeinschaft) under the Project GA 1142/11-1. Acknowledgements. Authors thank Jeffrey J. Hoyt for his valuable explanations about molecular dynamic simulation data of Ni. P.K.G. acknowledges financial support of German Science Foundation (DFG-Deutsche Forschungsgemeinschaft). A.S. thanks M. Bennai for hosting the present work in the research activities of LPMC.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	Royal Society Publishing	en1
dc.publisher	The Royal Society	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	Philos. Trans. R. Soc. A Math. Phys. Eng. Sci.	2
dc.source	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences	en
dc.subject	ANISOTROPY	en
dc.subject	GROWTH	en
dc.subject	INTERFACE	en
dc.subject	MODEL	en
dc.subject	PHASE FIELD	en
dc.subject	FREE ENERGY	en
dc.subject	GIBBS FREE ENERGY	en
dc.subject	KINEMATICS	en
dc.subject	MOLECULAR DYNAMICS	en
dc.subject	ANISOTROPIC INTERFACES	en
dc.subject	GIBBS-THOMSON	en
dc.subject	INTERFACE CURVATURES	en
dc.subject	INTERFACE PROPAGATION	en
dc.subject	KLEIN-GORDON	en
dc.subject	MODEL PREDICTION	en
dc.subject	MOLECULAR DYNAMICS SIMULATIONS	en
dc.subject	TRANSPORT PHENOMENA	en
dc.title	The Hodograph Equation for Slow and Fast Anisotropic Interface Propagation	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.rsi	47004794	-
dc.identifier.doi	10.1098/rsta.2020.0324	-
dc.identifier.scopus	85111825214	-
local.contributor.employee	Galenko, P.K., Friedrich-Schiller-Universität-Jena, Faculty of Physics and Astronomy, Otto Schott Institute of Materials Research, Jena, 07743, Germany, Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation; Salhoumi, A., University of Hassan II Casablanca, Faculty of Sciences Ben m'Sik, Department of Physics, Laboratory of Condensed Matter Physics (LPMC), BP 7955, Casablanca, Morocco	en
local.issue	2205	-
local.volume	379	-
dc.identifier.wos	000675372800014	-
local.contributor.department	Friedrich-Schiller-Universität-Jena, Faculty of Physics and Astronomy, Otto Schott Institute of Materials Research, Jena, 07743, Germany; Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation; University of Hassan II Casablanca, Faculty of Sciences Ben m'Sik, Department of Physics, Laboratory of Condensed Matter Physics (LPMC), BP 7955, Casablanca, Morocco	en
local.identifier.pure	22986983	-
local.description.order	20200324	-
local.identifier.eid	2-s2.0-85111825214	-
local.identifier.wos	WOS:000675372800014	-
local.identifier.pmid	34275359	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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