Loss of elastic stability and formation of inhomogeneous states at phase transitions in thin films on substrates
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Levanyuk, A. P. and Minyukov, S. A. and Mısırlıoğlu, Burç (2018) Loss of elastic stability and formation of inhomogeneous states at phase transitions in thin films on substrates. (Accepted/In Press)
Within the Landau-like approach we study stability of homogeneous
states near phase transitions in thin films on substrates. The order
parameter is electrically neutral in order to exclude the effects of the
depolarizing fields and concentrate on the elasticity effects. We consider
the case where the first-order transition in free crystal would
convert into a second order when in the film on a substrate if the
system remained homogeneous. Limit of stability of the homogeneous
state is found analytically, though approximately. Numerical
simulations provide qualitatively similar results and reveal temperature
evolution of the arising inhomogeneities.
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