Domain growth in alloys
dc.contributor.advisor
Pawley, Stuart
en
dc.contributor.advisor
Windsor, Colin
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dc.contributor.author
Hawick, Kenneth Arthur
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dc.date.accessioned
2015-10-08T08:46:29Z
dc.date.available
2015-10-08T08:46:29Z
dc.date.issued
1991
dc.description.abstract
This thesis describes Monte-Carlo computer simulations of binary alloys, with comparisons between small angle neutron scattering (SANS) data, and numerically integrated solutions to the Cahn-Hilliard-Cook (CHC) equation. Elementary theories for droplet growth are also compared with computer simulated data.
Monte-Carlo dynamical algorithms are investigated in detail, with special regard for universal dynamical times. The computer simulated systems are Fourier transformed to yield partial structure functions which are compared with SANS data for the binary Iron-Chromium system. A relation between real time and simulation time is found. Cluster statistics are measured in the simulated systems, and compared to droplet formation in the Copper-Cobalt system. Some scattering data for the complex steel PE16 is also discussed.
The characterisation of domain size and its growth with time are investigated, and scaling laws fitted to real and simulated data. The simple scaling law of Lifshitz and Slyozov is found to be inadequate, and corrections such as those suggested by Huse, are necessary. Scaling behaviour is studied for the low-concentration nucleation regime and the high-concentration spinodal-decomposition regime. The
need for multi-scaling is also considered. The effect of noise and fluctuations in the simulations is considered in the MonteCarlo model, a cellular-automaton (CA) model and in the Cahn-Billiard-Cook
equation. The Cook noise term in the CHC equation is found to be important for correct growth scaling properties.
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dc.identifier.uri
http://hdl.handle.net/1842/10605
dc.language.iso
en
dc.publisher
The University of Edinburgh
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dc.relation.hasversion
K.A.Hawick, W. C-K. Poon, and G.J.Ackland. Relaxation in the dilute ising model. accepted for International Conference on Magnetism, Edinburgh 1991, 1991.
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dc.relation.hasversion
K.A.Hawick. Fourier decomposition of anisotropic small angle scattering data. ANLAN Program User Manual, 1989.
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dc.relation.hasversion
Kenneth A. Hawick, J. Ernest Epperson, Colin G. Windsor, and Vie. S. Rainey. Chemical phase separation in binary iron-chromium alloys. In Proc. Materials Research Society Meeting, Boston, USA, November 1990. Materials Research Society. Symposium F.
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dc.relation.hasversion
J. Ernest Epperson, Kenneth A. Hawick, Colin G. Windsor, and Vie. S. Rainey. A small angle neutron scattering investigation of phase separation in an fe-cr-ni alloy. In Proc. Materials Research Society Meeting, Boston, USA, November 1990. Materials Research Society. Symposium F.
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dc.relation.hasversion
N. B. Wilding, A. S. Trew, K. A. Hawick, and G. S. Pawley. Scientific modelling on the clap. To appear in IEEE special issue, March 1990.
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dc.subject
Binary systems (Metallurgy)
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dc.subject
Alloys
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dc.subject
Monte Carlo method
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dc.subject
Digital computer simulation
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dc.subject
Domain structure
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dc.title
Domain growth in alloys
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dc.type
Thesis or Dissertation
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dc.type.qualificationlevel
Doctoral
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dc.type.qualificationname
PhD Doctor of Philosophy
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