Constrained Boltzmann-Gibbs measures and effective potential for glasses in hypernetted chain approximation and numerical simulations

Journal of Chemical Physics

Volumn 110, Issue 3, 1999, Pages 1726-1734

  Cardenas, Miguel ^a   Franz, Silvio ^b   Parisi, Giorgio ^c  

^a SCUOLA NORMALE SUPERIORE   (Italy)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000446372     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.478028     Document Type: Article

References (38)

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3. Strictly speaking, in the metastable region the liquid has zero weight, the Boltzmann distribution being concentrated on crystal configurations. In this paper we simply neglect the existence of the crystal and we imagine that in the supercooled region the measure is concentrated on liquid configurations. This situation can also be realized by not considering in the partition sum the crystal-like configurations or by modifying the potential in such a way that the crystal get a high free energy.
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33. The previous considerations should be modified for T′ ≠ T or p′ ≠ p. In that case the secondary minimum reflects the properties of the states of equilibrium at the primed values of the parameters when "followed" at the non primed values.
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35. s are compatible with those found in Ref. 6, indeed the potential method reproduces the results of replica symmetry breaking for the static and the dynamic critical density.
36. Notice the small peak at r ≈ √2 for the curves with small ∈. This could signal some crystallization in the system. In any case this effect is present only at high density and is absent in the simulations at lower density. It seems that in the region where the overlap becomes quite small, the system crystallizes in very long runs, while crystallization is obviously forbidden at higher values of the overlap.
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