Glass Transition Singularities

Odagaki, Takashi

doi:10.1103/physrevlett.75.3701

Cited by 123 publications

(94 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This is the origin of timeheterogeneites in dynamics and it naturally coincides with the divergence of trapping times' variance (14). As T is lowered, the effect of low n states in the dynamics becomes more and more pronounced [16][17][18][19], and the equilibration time finally diverges at T c , when the states with low n(E) become dominant. In Fig.…”

Section: Out Of Equilibrium Fluctuation-dissipation Relationsmentioning

confidence: 99%

Microscopic realizations of the trap model

Junier¹,

Kurchan²

2004

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

Monte Carlo optimizations of Number Partitioning and of Diophantine approximations are microscopic realisations of 'Trap Model' dynamics. This offers a fresh look at the physics behind this model, and points at other situations in which it may apply. Our results strongly suggest that in any such realisation of the Trap Model, the response and correlation functions of smooth observables obey the fluctuation-dissipation theorem even in the aging regime. Our discussion for the Number Partitioning problem may be relevant for the class of optimization problems whose cost function does not scale linearly with the size, and are thus awkward from the statistical mechanic point of view.

show abstract

Section: Out Of Equilibrium Fluctuation-dissipation Relationsmentioning

confidence: 99%

Microscopic realizations of the trap model

Junier¹,

Kurchan²

2004

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

show abstract

“…The predicted "ideal" glass transition has not been observed yet but this model and its consequences have been under consid-eration for several decades. In Odagaki's model of the cooperative relaxation [14] and in [15], where this model is reconsidered without resource of the configurational entropy arguments, the following correlations of the singular temperatures are found:…”

Section: Introductionmentioning

confidence: 99%

On the heterophase liquid thermodynamics and cooperative dynamics

Bakai¹

2010

Condens. Matter Phys.

View full text Add to dashboard Cite

The thermodynamics and cooperative dynamics of heterophase liquid states is considered taking into account frustration and volumetric interaction of the solid-like fluctuons. It is found that the glass transition temperature range is scaled by difference of the frustration parameter and mean energy of the volumetric interaction. A model of the cooperative relaxation with finite cooperatively rearranging domains is considered. The fictitious Kauzmann and Vogel-Fulcher temperatures are determined. It is found that they are close to a proper accuracy. Correlation of the temperatures of glass transition, Vogel-Fulcher and "ideal" glass transition (as it is determined in the mode coupling model) is considered too.

show abstract

“…Colloidal suspensions can be vitrified, but it is known that the system is eventually crystallized [4]. Since most theoretical works [5][6][7][8][9][10][11] assume a simple system, comparison between theory and experiments is rather difficult. Therefore, it is very desirable that we can devise a potential in such a way that atoms interacting with it can be vitrified even if the system consists of one component.…”

Section: Introductionmentioning

confidence: 99%

Vitrification of a monatomic 2D simple liquid

Mizuguchi

Odagaki

2009

Open Physics

View full text Add to dashboard Cite

Abstract:A monatomic simple liquid in two dimensions, where atoms interact isotropically through the LennardJones-Gauss potential [M. Engel, H.-R. Trebin, Phys. Rev. Lett. 98, 225505 (2007)], is vitrified by the use of a rapid cooling technique in a molecular dynamics simulation. Transformation to a crystalline state is investigated at various temperatures and the time-temperature-transformation (TTT) curve is determined. It is found that the transformation time to a crystalline state is the shortest at a temerature 14% below the melting temperature T and that at temperatures below T ≡ 0 6T the transformation time is much longer than the available CPU time. This indicates that a long-lived glassy state is realized for T ≤ T .

show abstract

Glass Transition Singularities

Cited by 123 publications

References 22 publications

Microscopic realizations of the trap model

Microscopic realizations of the trap model

On the heterophase liquid thermodynamics and cooperative dynamics

Vitrification of a monatomic 2D simple liquid

Contact Info

Product

Resources

About