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Title: Consistent multiphase-field theory for interface-driven multidomain dynamics
Authors: Toth, Gyula I.
Pusztai, Tamas
Granasy, Laszlo
Issue Date: 2015
Publisher: © American Physical Society
Citation: TOTH, G., PUSZTAI, T. and GRANASY, L., 2015. Consistent multiphase-field theory for interface-driven multidomain dynamics. Physical Review. B, Condensed matter and materials physics, 92 (18), DOI: 10.1103/PhysRevB.92.184105.
Abstract: We present a new multiphase- eld theory for describing pattern formation in multi-domain and/or multi-component systems. The construction of the free energy functional and the dynamic equations is based on criteria that ensure mathematical and physical consistency. We rst analyze previous multiphase- eld theories, and identify their advantageous and disadvantageous features. On the basis of this analysis, we introduce a new way of constructing the free energy surface, and derive a generalized multiphase description for arbitrary number of phases (or domains). The presented approach retains the variational formalism; reduces (or extends) naturally to lower (or higher) number of elds on the level of both the free energy functional and the dynamic equations; enables the use of arbitrary pairwise equilibrium interfacial properties; penalizes multiple junctions increasingly with the number of phases; ensures non-negative entropy production, and the convergence of the dynamic solutions to the equilibrium solutions; and avoids the appearance of spurious phases on binary interfaces. The new approach is tested for multi-component phase separation and grain coarsening.
Sponsor: This work has been supported by the VISTA basic research programme of the Norwegian Academy of Science and Letters and the Statoil, under Project No. 6359 “Surfactants for water/CO2/hydrocarbon emulsions for combined CO2 storage and utilization,” by ESA PECS Contracts No. 40000110756/11/NL/KML and No. 40000 110759/11/NL/KML, and by EU FP7 Project EXOMET (Contract No. NMP-LA-2012-280421, cofunded by ESA).
Version: Accepted for publication
DOI: 10.1103/PhysRevB.92.184105
URI: https://dspace.lboro.ac.uk/2134/27292
Publisher Link: https://doi.org/10.1103/PhysRevB.92.184105
ISSN: 1098-0121
Appears in Collections:Published Articles (Maths)

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