Novel Low-Temperature Behavior in Classical Many-Particle Systems

Robert D. Batten; Frank H. Stillinger; Salvatore Torquato

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arXiv · 0907.0447

Novel Low-Temperature Behavior in Classical Many-Particle Systems

Robert D. Batten·Frank H. Stillinger·Salvatore Torquato

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Abstract

We show that classical many-particle systems interacting with certain soft pair interactions in two dimensions exhibit novel low-temperature behaviors. Ground states span from disordered to crystalline. At some densities, a large fraction of normal-mode frequencies vanish. Lattice ground-state configurations have more vanishing frequencies than disordered ground states at the same density and exhibit vanishing shear moduli. For the melting transition from a crystal, the thermal expansion coefficient is negative. These unusual results are attributed to the topography of the energy landscape.

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Robert D. Batten, Frank H. Stillinger, Salvatore Torquato. 2009-07-02. Novel Low-Temperature Behavior in Classical Many-Particle Systems. https://arxiv.org/abs/0907.0447

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