Definition of a Transcendental Order Parameter for Reconstructive Phase Transitions

1988 ◽  
Vol 60 (19) ◽  
pp. 1958-1961 ◽  
Author(s):  
V. P. Dmitriev ◽  
S. B. Rochal ◽  
Yu. M. Gufan ◽  
P. Toledano
Author(s):  
Michael A. Carpenter ◽  
Christopher J. Howard

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.


1989 ◽  
Vol 32 (12) ◽  
pp. 989-993
Author(s):  
O. V. Gurin ◽  
V. N. Syromyatnikov

2013 ◽  
Vol 753-755 ◽  
pp. 932-938 ◽  
Author(s):  
Guang Wu Wang ◽  
Zhen Liu ◽  
Jun Zhang

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.


2005 ◽  
Vol 72 (2) ◽  
Author(s):  
Michael A. Carpenter ◽  
Christopher J. Howard ◽  
Brendan J. Kennedy ◽  
Kevin S. Knight

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