Formation of domain structures in ordering processes of B2 and D0 3 types

Ryuichiro Oguma; Syo Matsumura; Tetsuo Eguchi

doi:10.1557/proc-979-0979-hh11-53

Formation of domain structures in ordering processes of B2 and D0 ₃ types

Ryuichiro Oguma, Syo Matsumura, Tetsuo Eguchi

Quantum Sciences of Materials

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Time-dependent Ginzburg-Landau (TDGL) formulation has been developed for ordering processes of B2 and D0₃ types in binary alloy systems. In the formulation three order parameters are defined to describe the state of order. Equivalent variants of B2 and D0₃ structures are distinguished with the order parameters. The mean-field free energy is defined in a form of Landau type expansion with the order parameters and a composition parameter. Interfacial energies due to local variations of degrees of order and concentration are given with gradient square approximation. Kinetic equations are derived from the Ginzburg-Landau type potential to describe time-evolutions of the order parameters and the concentration. Two-dimensional numerical simulations were performed on the basis of the derived kinetic equations. The results reproduce well the formation of B2 and D0₃ ordered domains in the processes in an Fe₃Al alloy.

Original language	English
Title of host publication	Thermodynamics and Kinetics of Phase Transformations in Inorganic Materials
Publisher	Materials Research Society
Pages	79-84
Number of pages	6
ISBN (Print)	9781604234282
DOIs	https://doi.org/10.1557/proc-979-0979-hh11-53
Publication status	Published - 2006
Event	2006 MRS Fall Meeting - Boston, MA, United States Duration: Nov 27 2006 → Dec 1 2006

Publication series

Name	Materials Research Society Symposium Proceedings
Volume	979
ISSN (Print)	0272-9172

Other

Other	2006 MRS Fall Meeting
Country/Territory	United States
City	Boston, MA
Period	11/27/06 → 12/1/06

All Science Journal Classification (ASJC) codes

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1557/proc-979-0979-hh11-53

Cite this

Formation of domain structures in ordering processes of B2 and D0 ₃ types. / Oguma, Ryuichiro; Matsumura, Syo; Eguchi, Tetsuo.
Thermodynamics and Kinetics of Phase Transformations in Inorganic Materials. Materials Research Society, 2006. p. 79-84 (Materials Research Society Symposium Proceedings; Vol. 979).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Oguma, R, Matsumura, S & Eguchi, T 2006, Formation of domain structures in ordering processes of B2 and D0 ₃ types. in Thermodynamics and Kinetics of Phase Transformations in Inorganic Materials. Materials Research Society Symposium Proceedings, vol. 979, Materials Research Society, pp. 79-84, 2006 MRS Fall Meeting, Boston, MA, United States, 11/27/06. https://doi.org/10.1557/proc-979-0979-hh11-53

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abstract = "Time-dependent Ginzburg-Landau (TDGL) formulation has been developed for ordering processes of B2 and D03 types in binary alloy systems. In the formulation three order parameters are defined to describe the state of order. Equivalent variants of B2 and D03 structures are distinguished with the order parameters. The mean-field free energy is defined in a form of Landau type expansion with the order parameters and a composition parameter. Interfacial energies due to local variations of degrees of order and concentration are given with gradient square approximation. Kinetic equations are derived from the Ginzburg-Landau type potential to describe time-evolutions of the order parameters and the concentration. Two-dimensional numerical simulations were performed on the basis of the derived kinetic equations. The results reproduce well the formation of B2 and D03 ordered domains in the processes in an Fe3Al alloy.",

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