Non-equilibrium theory of arrested spinodal decomposition.

@article{OlaisGovea2015NonequilibriumTO,
  title={Non-equilibrium theory of arrested spinodal decomposition.},
  author={Jos{\'e} Manuel Olais-Govea and Leticia L{\'o}pez-Flores and Magdaleno Medina-Noyola},
  journal={The Journal of chemical physics},
  year={2015},
  volume={143 17},
  pages={
          174505
        }
}
The non-equilibrium self-consistent generalized Langevin equation theory of irreversible relaxation [P. E. Ramŕez-González and M. Medina-Noyola, Phys. Rev. E 82, 061503 (2010); 82, 061504 (2010)] is applied to the description of the non-equilibrium processes involved in the spinodal decomposition of suddenly and deeply quenched simple liquids. For model liquids with hard-sphere plus attractive (Yukawa or square well) pair potential, the theory predicts that the spinodal curve, besides being the… 

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References

SHOWING 1-10 OF 101 REFERENCES
Equilibration and aging of dense soft-sphere glass-forming liquids.
TLDR
The recently developed nonequilibrium extension of the self-consistent generalized Langevin equation theory of irreversible relaxation is applied to the description of the irreversible process of equilibration and aging of a glass-forming soft-sphere liquid that follows a sudden temperature quench, within the constraint that the local mean particle density remains uniform and constant.
Non-equilibrium dynamics of glass-forming liquid mixtures.
TLDR
The non-equilibrium self-consistent generalized Langevin equation theory of irreversible processes in glass-forming liquids is extended here to multi-component systems and predicts the irreversible structural relaxation of the partial static structure factors Sαβ(k; t) and of the (collective and self) intermediate scattering functions Fα β(k, τ) and F(αβ)(K, τ; t).
Dynamic arrest within the self-consistent generalized Langevin equation of colloid dynamics.
TLDR
A recently developed theory of colloid dynamics is presented as an alternative approach to the description of phenomena of dynamic arrest in monodisperse colloidal systems, and the derivation from the same self-consistent theory of the more straightforward route to the location of the fluid-glass transition boundary is focused on.
Relaxation processes in supercooled liquids
The characteristic features of alpha - and beta - relaxation in the supercooled state of nonnetwork forming liquids and polymers are reviewed. Particular emphasis is put on properties observed
Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model.
TLDR
A functional Parisi-like order parameter is determined which plays a similar role for the dynamics to that played by the usual function for the statics in the spherical spin-glass model with p-spin interactions in the N-spin limit.
General nonequilibrium theory of colloid dynamics.
TLDR
A nonequilibrium extension of Onsager's canonical theory of thermal fluctuations is employed to derive a self-consistent theory that provides a general theoretical framework to describe irreversible processes associated with dynamic arrest transitions, such as aging, and the effects of spatial heterogeneities.
Non-equilibrium mode-coupling theory for supercooled liquids and glasses
A formally exact set of equations is derived for the description of non-equilibrium phenomena exhibited by classical liquids and glasses. With the help of a non-equilibrium projection operator
Intermittent dynamics and logarithmic domain growth during the spinodal decomposition of a glass-forming liquid.
TLDR
It is shown that the phase separation kinetics changes qualitatively with temperature, the microscopic dynamics evolving from a surface tension-driven diffusive motion at high temperature to a strongly intermittent, heterogeneous, and thermally activated dynamics at low temperature, with a logarithmically slow growth of the typical domain size.
Dynamic equivalence between atomic and colloidal liquids
We show that the kinetic-theoretical self-diffusion coefficient of an atomic fluid plays the same role as the short-time self-diffusion coefficient DS in a colloidal liquid, in the sense that the
Arrested phase separation in a short-ranged attractive colloidal system: a numerical study.
TLDR
Numerically investigate the competition between phase separation and dynamical arrest in a colloidal system interacting via a short-ranged attractive potential and discusses the time evolution of the nonergodicity parameter, providing evidence of a progressively decreasing localization length on increasing the packing fraction.
...
1
2
3
4
5
...