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IOP Publishing, Journal of Statistical Mechanics: Theory and Experiment, 3(2015), p. P03016

DOI: 10.1088/1742-5468/2015/03/p03016

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Dynamics versus energetics in phase separation

Journal article published in 2014 by Paolo Politi, Alessandro Torcini ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Phase separation may be driven by the minimization of a suitable free energy ${\cal F}$. This is the case, e.g., for diblock copolimer melts, where ${\cal F}$ is minimized by a steady periodic pattern whose wavelength $λ_{GS}$ depends on the segregation strength $α^{-1}$ and it is know since long time that in one spatial dimension $λ_{GS} ≃ α^{-1/3}$. Here we study in details the dynamics of the system in 1D for different initial conditions and by varying $α$ by five orders of magnitude. We find that, depending on the initial state, the final configuration may have a wavelength $λ_{D}$ with $λ_{min}(α)