Ordered sigma-type phase in the Ising model of Fe-Cr stainless steel

被引:15
作者
Ackland, G. J. [1 ,2 ]
机构
[1] Univ Edinburgh, Sch Phys, CSEC, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Univ Edinburgh, SUPA, Edinburgh EH9 3JZ, Midlothian, Scotland
来源
PHYSICAL REVIEW B | 2009年 / 79卷 / 09期
基金
英国工程与自然科学研究理事会;
关键词
antiferromagnetic materials; entropy; ferromagnetic materials; Ising model; magnetic transitions; Monte Carlo methods; precipitation; solubility; stainless steel; SPINODAL DECOMPOSITION; SURFACE SEGREGATION; MONTE-CARLO; AB-INITIO; ALLOYS; STABILITY; 1ST-PRINCIPLES; TEMPERATURE; ENERGIES;
D O I
10.1103/PhysRevB.79.094202
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A lattice-based Ising model is presented which describes precipitation of an ordered phase at high temperature. It is based around the Ising model of mixed ferromagnetism (FM) and antiferromagnetism (AFM), which gives a qualitative description of the FeCr phase diagram. In addition to spin and species, a third index labels the precipitate phase and serves to produce its additional entropy. Thus the FM-AFM Ising model is adapted to produce precipitation of a sigma-type phase at high temperature, as observed in FeCr, in a form suitable for kinetic Monte Carlo simulations. In addition, the anomalous asymmetry observed in the miscibility gap of materials such as FeCr is also described, as is the finite low-temperature solubility and the onset of the stainless property for high-Cr content steel.
引用
收藏
页数:6
相关论文
共 47 条
[1]   Magnetically induced immiscibility in the ising model of FeCr stainless steel [J].
Ackland, G. J. .
PHYSICAL REVIEW LETTERS, 2006, 97 (01)
[2]   Applications of local crystal structure measures in experiment and simulation [J].
Ackland, GJ ;
Jones, AP .
PHYSICAL REVIEW B, 2006, 73 (05)
[3]   Two-band second moment model and an interatomic potential for caesium [J].
Ackland, GJ ;
Reed, SK .
PHYSICAL REVIEW B, 2003, 67 (17)
[4]   ON THE STABILITY OF RANDOM CUBIC ALLOYS IN THE FRAMEWORK OF PAIR POTENTIALS [J].
ACKLAND, GJ ;
VITEK, V .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1990, 62 (02) :149-158
[5]   Two-band second moment model for transition metals and alloys [J].
Ackland, Graeme J. .
JOURNAL OF NUCLEAR MATERIALS, 2006, 351 (1-3) :20-27
[6]  
BERGMAN BG, 1954, ACTA CRYSTALLOGR, V7, P857
[7]   The sigma phase revisited: An alternative path to a trial structure [J].
Bergman, G .
ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE, 1996, 52 :777-779
[8]  
Blackstock JJ, 2001, PHILOS MAG A, V81, P2127, DOI 10.1080/01418610010029539
[9]   The influence of short range order on the thermodynamics of Fe-Cr alloys [J].
Bonny, G. ;
Erhart, P. ;
Caro, A. ;
Pasianot, R. C. ;
Malerba, L. ;
Caro, M. .
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2009, 17 (02)
[10]   Classical many-body potential for concentrated alloys and the inversion of order in iron-chromium alloys [J].
Caro, A ;
Crowson, DA ;
Caro, M .
PHYSICAL REVIEW LETTERS, 2005, 95 (07)