Dynamics of structural models with a long-range interaction: glassy versus non-glassy behavior

Abstract

By making use of the Langevin dynamics and its generating functional (GF) formulation the influence of the long-range nature of the interaction on the tendency of the glass formation is systematically investigated. In doing so two types of models is considered: (i) the non-disordered model with a pure repulsive type of interaction and (ii) the model with a randomly distributed strength of interaction (a quenched disordered model). The long-ranged potential of interaction is scaled with a number of particles $N$ in such a way as to enable for GF the saddle-point treatment as well as the systematic 1/N - expansion around it. We show that the non-disordered model has no glass transition which is in line with the mean-field limit of the mode - coupling theory (MCT) predictions. On the other hand the model with a long-range interaction which above that has a quenched disorder leads to MC - equations which are generic for the $p$ - spin glass model and polymeric manifold in a random media.

to be published in Phys. Rev E

References in corpus (5)

• Aging Effects in a Lennard-Jones Glass
• Aging in a Structural Glass
• The Hartree approximation in dynamics of polymeric manifolds in the melt
• Langevin dynamics of the glass forming polymer melt: fluctuations around the random phase approximation
• How to break the replica symmetry in structural glasses

Cited by in corpus (2)

• Collapse or Swelling Dynamics of Homopolymer Rings: Self-consistent Hartree approach
• Dynamics of a polymer in a quenched random medium: A Monte Carlo investigation