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        <title>Simultaneous long-range diffusion and precipitation</title>
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	*   Long-range diffusion simulation
	*  asdf asdf asdf 
	*  sdf gsdf gsdg sdf gsdfg</description>
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	*   Equilibrium vacancy concentration 
	*   Trapping</description>
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        <title>Equilibrium simulations</title>
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	*   Miscibility gaps and composition sets
	*  asdf asdf asdf 
	*   Scheil-Gulliver analysis with back-diffusion and solid-solid transformations
	*  sdf gsdf gsdg sdf gsdfg</description>
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        <title>kuku</title>
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        <description>kuku

Compatibility

MatCalc version: 5.60 - ... 

Author: W. Mayer 

Created: 2014-04-09 

Revisions:  


Objectives

This paper describes how the vacancy concentration at equilibrium condition is evaluated in MatCalc. It serves as a basis for the discussion of the vacancy concentration evolution models.$E^f$$ S^f $$ G_i^f $\[ G_i^f = H_i^f - TS_i^f , \]$ H_i^f $$ S_i^f $\[H_i^f = E_i^f - pV_i^f , \]$ E_i^f $$ V_i^f $$p$$ pV_i^f $$ V_i^f $${Va}$$c_{Va}^{eq}$\[
c_{Va}^{eq}  =\exp\left[- \frac{G_…</description>
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        <title>Monte Carlo simulations</title>
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	*   Lattice type implementation
	*  asdf asdf asdf 
	*  sdf gsdf gsdg sdf gsdfg</description>
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        <title>Multi-component moving boundary problems</title>
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        <description>Multi-component moving boundary problems

	*   Simulation interfaces
	*  asdf asdf asdf 
	*  sdf gsdf gsdg sdf gsdfg</description>
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        <title>Microstructure - property relationship</title>
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	*   Solid solution strengthening</description>
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        <title>Multi-component nucleation</title>
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	*   The multi-component transient nucleation rate (#2011003)
	*   Evaluation of interfacial energies
	*   Heterogeneous nucleation (#2011002)
	*   Nucleus composition</description>
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        <title>Precipitation kinetics</title>
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        <description>Precipitation kinetics

	*   Object hierarchy and interactions (#2011001) 
	*   The precipitate shape factor (#2011007)
	*   Diffusion in heterogenous precipitation (#2011004)
	*   Excess vacancies
	*   Trapping</description>
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	*   Software architecture (#2011005)
	*   Linking MatCalc with third-party software - MATLAB, Mathematica ...</description>
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        <title>Special topic presentations</title>
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        <description>Special topic presentations

	*  [ Modelling of vacancy concentration evolution] - presentation of MatCalc models for the vacancy concentration evolution and vacancy trapping.
	*  [ Modelling of precipitate/matrix interfacial energy] - presentation of MatCalc approach to estimate the value of this parameter.
	*  [ Nucleation sites for precipitates] - presentation showing the possibilities for selecting the nucleation sites in MatCalc and relevant consequences.</description>
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        <title>Special features and functions</title>
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	*   Solid-solid transformations
	*  asdf asdf asdf 
	*  sdf gsdf gsdg sdf gsdfg</description>
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