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Discrete breathers for understanding reconstructive mineral processes at low temperatures

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arxiv nlin/0404030 v4 pith:6SYG2SUG submitted 2004-04-15 nlin.PS

Discrete breathers for understanding reconstructive mineral processes at low temperatures

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keywords breathersreconstructivediscretetemperaturestheretransformationsaboveactivation
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Reconstructive transformations in layered silicates need a high tem- perature in order to be observed. However, very recently, some systems have been found where transformation can be studied at temperatures 600 C below the lowest experimental results previously reported, including sol-gel methods. We explore the possible relation with the existence of intrinsic localized modes, known as discrete breathers. We construct a model for nonlinear vibrations within the cation layer, obtain their parameters and calculate them numerically, obtaining their energies. Their statistics shows that although there are far less breathers than phonons, there are much more above the activation energy, being therefore a good candidate to explain the reconstructive transformations at low temperature.

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