Abstract
In this chapter we analyze some phase equilibrium problems using the model of a continuous system with an interface, which we explored in the previous chapter. We consider a system S consisting of two phases (that fill the regions C 1 and C 2) and an interface Σ. The body force b is assumed to derive from a potential energy U(x), so that b = −∇U.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
J. F. Taylor, Constructing crystalline minimal surfaces, Ann. Math.Stud., 105, 271, 1983.
A. Romano, Thermomechnics of Phase Transitions in Classical Field Theories, World Scientific, Singapore, 1993.
A. Romano, E. S. Suhubi, On Wulff’s law about equilibrium configurationsof crystals, Int. J. Eng. Sci., 27, 1135, 1989.
J. Gibbs, Collected Works, Longamanus Green and Co., New York,1928.
L. Landau, Collected Papers, Gordon and Breach, New York, 1967.
G. Wulff, Zur Frage der Geschwindigkeit des Wachsthums und derAuflosung der Kristallflachen, Z. Kryst. Miner., 34, 449, 1901.
D. Iannece, A. Romano, D. Starita, The Gibbs principle for the equilibriumof systems with two simple or composed phases, Meccanica, 25, 3, 1990.
A. Pippard, Elements of Classical Thermodynamics, Cambridge UniversityPress, Cambridge, 1964.
M. M. Abbot, H. Van Ness, Thermodynamics, McGraw–Hill, NewYork, 1976.
D. Iannece, A. Romano, On the mathematical modelling of crystalgrowth in a binary nonreacting mixture,Math. Mod. Meth. Appl. Sci., 3, 485, 1993.
D. G. Edelen, N. Laws, Nonlocal continuum mechanics, Arch. Rat.Mech. Anal., 43, 36, 1971.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Birkhäuser Boston
About this chapter
Cite this chapter
Romano, A., Marasco, A. (2010). Phase Equilibrium. In: Continuum Mechanics. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4870-1_4
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4870-1_4
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4869-5
Online ISBN: 978-0-8176-4870-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)