Geodesic
Dependence of the phase transition temperature on the domain size
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Tome 310 (2004), pp. 98-113
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The dependence of the phase transition temperature on the domain size is investigated for a double-well quadratic potential. It is shown that for a domain whose boundary is subjected to a hydrostatical pressure, the temperature of phase transitions is independent of the domain and the surface tension coefficient and depends exclusively on the properties of an elastic media. If the displacement field vanishes on the boundary, then for sufficiently small domains the temperature also does not depend on the surface tension and domain size and is determined by properties of an elastic media only. 
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V. G. Osmolovskii. Dependence of the phase transition temperature on the domain size. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Tome 310 (2004), pp. 98-113. http://geodesic.mathdoc.fr/item/ZNSL_2004_310_a5/

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