A general approach to systems with randomly pinned particles: unfolding and clarifying the Random Pinning Glass Transition

Abstract

Pinning a fraction of particles from an equilibrium configuration in supercooled liquids has been recently proposed as a way to induce a new kind of glass transition, the Random Pinning Glass Transition (RPGT). The RPGT has been predicted to share some features of standard thermodynamic glass transitions and usual first order ones. Thanks to its special nature, the approach and the study of the RPGT appears to be a fairly reachable task compared to the daunting problem of inspecting standard glass transitions. In this Letter we generalize the pinning particle procedure. We study a mean-field system where the pinned configuration is extracted from the equilibrium distribution at temperature $T^{\prime }$ and the thermodynamics of the non pinned particles is observed at a lower temperature $T$. A more complicated physics emerges from this generalization eventually clarifying the origin and the peculiar characteristics of the RPGT.

7 pages, 1 figure

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• Non-linear dynamic response of glass-forming liquids to random pinning
• Glassy dynamics of partially pinned fluids: an alternative mode-coupling approach
• Experimental Determination of Configurational Entropy in a Two-Dimensional Liquid under Random Pinning
• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• Investigating amorphous order in stable glasses by random pinning
• Critical dynamical heterogeneities close to continuous second-order glass transitions
• Dynamical Facilitation Governs the Equilibration Dynamics of Glasses
• Tagged-particle motion in quasi-confined colloidal hard-sphere liquids