Continuum theory for coherent phase transitions incorporating an order parameter

1993 ◽  
Author(s):  
Eliot Fried
Keyword(s):  
Phase Transitions ◽  
Order Parameter ◽  
Continuum Theory ◽  
Coherent Phase

scholarly journals Fundamental aspects of symmetry and order parameter coupling for martensitic transition sequences in Heusler alloys. Erratum

2020 ◽  
Vol 76 (6) ◽  
pp. 1143-1144
Author(s):  
Michael A. Carpenter ◽  
Christopher J. Howard
Keyword(s):  
Phase Transitions ◽  
Order Parameter ◽  
Heusler Alloys ◽  
Martensitic Transition ◽  
Acta Cryst ◽  
Parameter Coupling

In the course of further studies of phase transitions in martensites [Driver, Salje, Howard, Lampronti, Ding & Carpenter (2020), Phys. Rev. B, 102, 014105], errors were uncovered in a few entries in Table 3 of the paper by Carpenter & Howard [(2018), Acta Cryst. B74, 560–573]. The required corrections are given here.

scholarly journals Optimization of the branching pattern in coherent phase transitions

2016 ◽  
Vol 354 (6) ◽  
pp. 639-644 ◽  
Author(s):  
Patrick Dondl ◽  
Behrend Heeren ◽  
Martin Rumpf
Keyword(s):  
Phase Transitions ◽  
Branching Pattern ◽  
Coherent Phase

Jahn-Teller phase transitions; selection of the order parameter

1989 ◽  
Vol 32 (12) ◽  
pp. 989-993
Author(s):  
O. V. Gurin ◽  
V. N. Syromyatnikov
Keyword(s):  
Phase Transitions ◽  
Order Parameter ◽  
Jahn Teller ◽  
Selection Of

The Finite Difference Method for Two Models of Phase Transitions Driven by Configurational Force

2013 ◽  
Vol 753-755 ◽  
pp. 932-938 ◽  
Author(s):  
Guang Wu Wang ◽  
Zhen Liu ◽  
Jun Zhang
Keyword(s):  
Phase Transitions ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Order Parameter ◽  
Configurational Force ◽  
Solid Materials ◽  
Interface Motion ◽  
Interface Diffusion ◽  
New Models ◽  
The Finite Difference Method

In this paper, we study the finite difference solutions for two new models of phase transitions driven by configurational force. These models are recently proposed by Alber and Zhu in [2]. The first model describes the diffusionless phase transitions of solid materials, e.g., Steel. The second model describes phase transitions due to interface motion by interface diffusion, e.g., Sintering. We consider both the order-parameter-conserved case and the non-conserved one, under suitable assumptions. Also we compare the results of these two models with the corresponding ones for the Allen-Cahn and Cahn-Hilliard equations. Finally, some results about tending to zero are given.

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