Journal of Statistical Mechanics: Theory and Experiment
Volume 2007
September 2007
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Charlotte Gils et al J. Stat. Mech. (2007) P09011 doi:10.1088/1742-5468/2007/09/P09011
Absence of a structural glass phase in a monatomic model liquid predicted to undergo an ideal glass transition
Charlotte Gils, Helmut G Katzgraber and Matthias Troyer
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Figure 1. Schematic plot of the interaction potential
U(r) (equation (2)) between two particles with relative distance
r = |ri–rj|. For ![r\in [R-r_0, R+r_0]](http://ej.iop.org/images/1742-5468/2007/09/P09011/Full/jstat257907ieqn1.gif) the particles feel an attraction; otherwise the potential is zero. Note that the model is defined in the limit  . (a) The interaction potential as introduced in [11] with a hard-core radius
h = 1. (b)
The interaction potential modified in order to avoid a trivial particle collapse with a hard-core radius
R/4 < h < R/2. |
| Figure 2. Configuration of particles after 2 × 108 Monte Carlo steps for r0 = 10, R = 100, h = 30 (i.e., Tc ≈ 0.33), T = 0.1, N = 120 and an average particle spacing ρ–1/2 ≈ 88.3. |
| Figure 3. Configuration snapshot after 3 × 109 Monte Carlo steps for r0 = 10, R = 100, h = 30 (i.e., Tc ≈ 0.33), T = 0.1, N = 1200 and an average particle distance ρ–1/2 ≈ 108 (i.e., a smaller density than in figure 2). A polycrystalline structure with randomly oriented patches of hexagonal crystal is found. |
Figure 4. Particle configurations for N = 1000 particles (r0 = 10, R = 100, h = 30,  ) in a system with average particle distance
ρ–1/2 ≈ 167. (a) Initial random configuration, (b) configuration snapshot after
2 × 107 MC steps, (c) configuration snapshot after
2 × 108 MC steps, and (d) after 5 × 109 MC steps. As in figure 3, a polycrystalline structure emerges. |
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Absence of a structural glass phase in a monatomic model liquid predicted to undergo an ideal glass transition
Charlotte Gils et al J. Stat. Mech. (2007) P09011
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