Bridging the Gap between Ab Initio and Large Scale Studies - A Monte Carlo Study of Cu Precipitation in Fe

2016 ◽  
Vol 879 ◽  
pp. 1564-1569
Author(s):  
Alice Redermeier ◽  
Ernst Kozeschnik

In the present study, we investigate the performance of efficient pair potentials in comparison to accurate ab initio potentials as energy descriptions for Monte Carlo simulations of solid-state precipitation. As test scenario, we take the phase decomposition kinetics in binary Fe1-xCux. In a first effort, we predict thermodynamic equilibrium properties of bcc-rich Cu precipitates in an Fe-rich solution with a temperature and composition dependent Cluster Expansion. For this Cluster Expansion, combined ab inito and phonon calculations for various configurations serve as input. Alternatively, we apply the Local Chemical Environment approach, where the energy is described by computationally efficient pair potentials, which are calibrated on the first principles cluster expansion results. We observe that these fundamentally different approaches provide similar information in terms of the precipitate radius, chemical composition and interface constitution, however, the computational effort for the Local Chemical environment approach is significantly lower.

2000 ◽  
Vol 2 (6) ◽  
pp. 1281-1290 ◽  
Author(s):  
Tanja van Mourik ◽  
David M. Benoit ◽  
Sarah L. Price ◽  
David C. Clary

1998 ◽  
Vol 110 ◽  
pp. 379 ◽  
Author(s):  
Matthew P. Repasky ◽  
William L. Jorgensen

2017 ◽  
Vol 125 ◽  
pp. 455-464 ◽  
Author(s):  
Wenyuan Liu ◽  
Mahasin Alam Sk ◽  
Sergei Manzhos ◽  
Ignacio Martin-Bragado ◽  
Francis Benistant ◽  
...  

1999 ◽  
Vol 10 (08) ◽  
pp. 1399-1407 ◽  
Author(s):  
S. TODO ◽  
K. KATO ◽  
H. TAKAYAMA ◽  
K. HARADA ◽  
N. KAWASHIMA ◽  
...  

Ground-state phase transition of site-diluted Heisenberg antiferromagnets on a square lattice is studied. By using the continuous-time loop algorithm, we perform large-scale quantum Monte Carlo simulation on large systems at quite low temperatures. It is found that the critical concentration of magnetic sites is independent of the spin size S, and equal to the classical percolation threshold. However, the existence of quantum fluctuations makes the critical exponents deviate from those of the classical percolation transition. It is found that the transition is not universal, i.e., the critical exponents depend on the spin size S.


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