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Free Energy Minima and
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Phase Transitions and Phase Equilibria
Phase Equilibria
Date:
October 2, 1997
Free Energy Minima and Phases
Phase Coexistence
Free Energy Minimum
Problem
Method of Lagrange Multipliers
Minimization
Minimization with respect to
V
1
and
V
2
:
Minimization with respect to
N
1
and
N
2
:
Conclusion
Slightly Different View:
Stability Condition:
General Situation
Geometric Interpretation and Phase Diagrams
Tangents and Minimization
Phase Diagrams
Critical Point
Gibbs Phase Rule
Quiz
© 1997
Boris Veytsman
and
Michael Kotelyanskii
Thu Oct 2 21:02:12 EDT 1997
