Glass transitions in 1, 2, 3, and 4 dimensional binary Lennard-Jones systems

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dc.creatorBrüning, Ralf
dc.creatorSt-Onge, Denis A.
dc.creatorPatterson, Steve
dc.creatorKob, Walter
dc.date2008-11-18
dc.date.accessioned2026-07-07T12:23:22Z
dc.date.available2026-07-07T12:23:22Z
dc.descriptionWe investigate the calorimetric liquid-glass transition by performing simulations of a binary Lennard-Jones mixture in one through four dimensions. Starting at a high temperature, the systems are cooled to T=0 and heated back to the ergodic liquid state at constant rates. Glass transitions are observed in two, three and four dimensions as a hysteresis between the cooling and heating curves. This hysteresis appears in the energy and pressure diagrams, and the scanning-rate dependence of the area and height of the hysteresis can be described by power laws. The one dimensional system does not experience a glass transition but its specific heat curve resembles the shape of the $D\geq 2$ results in the supercooled liquid regime above the glass transition. As $D$ increases, the radial distribution functions reflect reduced geometric constraints. Nearest-neighbor distances become smaller with increasing $D$ due to interactions between nearest and next-nearest neighbors. Simulation data for the glasses are compared with crystal and melting data obtained with a Lennard-Jones system with only one type of particle and we find that with increasing $D$ crystallization becomes increasingly more difficult.
dc.description26 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/0811.2995
dc.identifierhttp://arxiv.org/abs/0811.2995
dc.identifierJ. Phys.: Condens. Matter 21 (2009) 035117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213960
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleGlass transitions in 1, 2, 3, and 4 dimensional binary Lennard-Jones systems
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