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Systematic expansion in the order parameter for replica theory of the dynamical glass transition
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10.1063/1.4792641
/content/aip/journal/jcp/138/12/10.1063/1.4792641
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/12/10.1063/1.4792641
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Filled squares) Non-ergodicity factor of hard spheres at packing fraction 0.599670 (i.e., at the transition), obtain from the replicated hyper-netted-chain approximation equation (46) , combined with the liquid theory HNC approximation equation (45) . (Open circles) The corresponding order parameter .

Image of FIG. 2.
FIG. 2.

Non-ergodicity factor as a function of the wave vector at packing fraction 0.6, for the standard replicated HNC calculation, and from the combination of PY approximation for the diagonal part and RHNC for the off-diagonal correlation.

Image of FIG. 3.
FIG. 3.

Diagrams that contribute to the free-energy at order . A wiggly line joining two replica indices a and b is a h ab , with ab function, a black dot attached to a zone with replica index a is an integration point weighted by a density factor ρ a .

Image of FIG. 4.
FIG. 4.

Non-ergodicity factor as a function of the wave vector very close to the critical point φ = φ d , for the PY + HNC calculation, and with inclusion of the three body term.

Image of FIG. 5.
FIG. 5.

Non-ergodicity factor as a function of the wave vector at fixed packing fraction 0.6, for the PY + RHNC calculation, and with inclusion of the three body term.

Image of FIG. 6.
FIG. 6.

Diagrams that contribute to the free-energy at order . A wiggly line joining two replica indices a and b is a h ab , with ab function, a black dot attached to a zone with replica index a is an integration point weighted by a density factor ρ a .

Image of FIG. 7.
FIG. 7.

Diagrams that contribute to the free-energy at order . A wiggly line joining two replica indices a and b is a h ab , with ab function, a black dot attached to a zone with replica index a is an integration point weighted by a density factor ρ a .

Image of FIG. 8.
FIG. 8.

Inter-replica pair correlation function at packing fraction φ = 0.6, with and without three-body correction.

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/content/aip/journal/jcp/138/12/10.1063/1.4792641
2013-02-25
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Systematic expansion in the order parameter for replica theory of the dynamical glass transition
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/12/10.1063/1.4792641
10.1063/1.4792641
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