Ordering Dynamics with Moving Plane Boundary between Ordered and Disordered Phases
Author(s) -
Hidemitsu Furukawa
Publication year - 1992
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/87.4.871
Subject(s) - physics , plane (geometry) , instability , boundary (topology) , condensed matter physics , potts model , phase (matter) , grain boundary , motion (physics) , dynamics (music) , phase diagram , phase boundary , boundary value problem , statistical physics , classical mechanics , phase transition , mechanics , geometry , materials science , mathematical analysis , microstructure , mathematics , quantum mechanics , acoustics , metallurgy
The ordering dynamics with a moving plane boundary between ordered and disordered phases is discussed focusing on the instability of disordered material near the plane boundary. The ordered phase is extending steadily. The material is modeled on the infinite state Potts model. A dynamics suitable to the interfacial motion is introduced. The ordered phase may create many grains. Three typical grain morphologies are found by two dimensional numerical simulations, i.e., compact, columnar and huge ones, depending both on the extending speed of the ordered phase and system boundary condition.
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