The problem of glass formation and the low frequency vibrational modes anomalies
G.G. Naumis and J.R. Romero–Arias
Instituto de Física, Dpto. de Física–Química, Universidad Nacional Autónoma de México, Apartado Postal 20–364, México 01000, D.F, México.
Recibido el 11 de noviembre de 2009
Aceptado el 16 de febrero de 2010
Abstract
In this article, we give a short review of the theoretical problems concerning the formation of disordered materials (known as glasses). Then we show how this problem is related to the anomalies in the low frequency vibrational modes observed in glasses. Rigidity theory and the energy landscape topology picture is used to decode how this relationship is built for network glasses. Finally, the problem of the speed of cooling and the ability to reach thermal equilibrium in glasses is explored using a simple model with non–linear interactions. The results are also interesting in soft–matter and protein folding.
Keywords: Glass transition; glasses; low frequency modes.
Resumen
En este trabajo se presenta una revisión de los problemas concernientes a la formación de materiales con estructuras desordenadas, llamados vidrios, y su relación con el exceso de modos vibracionales de baja frecuencia. La teoría de la rigidez y la topología del paisaje de energías se usan para entender como surge dicha relación. Finalmente, el problema de la velocidad mínima de enfriamiento y la habilidad de formar vidrios se estudia en el mismo contexto, pero usando un modelo de interacción no lineal. Los resultados son interesantes tanto para materia suave como para el problema del doblamiento de proteínas.
Descriptores: Transición vítrea; vidrios; modos de baja frecuencia.
PACS: 64.70.P–; 64.70.Q–; 63.50.Lm
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Acknowledgments
We thank DGAPA–UNAM projects IN–117806. and CONA–CyT 50368 for financial support and C. Moukarzel for pointing out to us the rigidity properties of the second neighbor spring chain. Calculations were carried at the KanBalam and Baklitz supercomputers of DGSCA–UNAM.
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