Static correlations functions and domain walls in glass-forming liquids: the case of a sandwich geometry
arXiv:1209.5954 · doi:10.1063/1.4771973
Abstract
The problem of measuring nontrivial static correlations in deeply supercooled liquids made recently some progress thanks to the introduction of amorphous boundary conditions, in which a set of free particles is subject to the effect of a different set of particles frozen into their (low temperature) equilibrium positions. In this way, one can study the crossover from nonergodic to ergodic phase, as the size of the free region grows and the effect of the confinement fades. Such crossover defines the so-called point-to-set correlation length, which has been measured in a spherical geometry, or cavity. Here, we make further progress in the study ofcorrelations under amorphous boundary conditions by analyzing the equilibrium properties of a glass-forming liquid, confined in a planar ("sandwich") geometry. The mobile particles are subject to amorphous boundary conditions with the particles in the surrounding walls frozen into their low temperature equilibrium configurations. Compared to the cavity, the sandwich geometry has three main advantages: i) the width of the sandwich is decoupled from its longitudinal size, making the thermodynamic limit possible; ii) for very large width, the behaviour off a single wall can be studied; iii) we can use "anti-parallel" boundary conditions to force a domain wall and measure its excess energy. Our results confirm that amorphous boundary conditions are indeed a very useful new tool inthe study of static properties of glass-forming liquids, but also raise some warning about the fact that not all correlation functions that can be calculated in this framework give the same qualitative results.
Submited to JCP special issue on the glass transision
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- Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
- Efficient measurement of point-to-set correlations and overlap fluctuations in glass-forming liquids
- Confinement as a tool to probe amorphous order
- Growing Surface Tension of Amorphous-Amorphous Interfaces on Approaching the Colloidal Glass Transition
- A general approach to systems with randomly pinned particles: unfolding and clarifying the Random Pinning Glass Transition
- Fluctuations and Shape of Cooperative Rearranging Regions in Glass-Forming Liquids
- Linking dynamical heterogeneity to static amorphous order
- Simple physics of the partly pinned fluid systems
- Specific heat anomaly in a supercooled liquid with amorphous boundary conditions
- Excess free energy of supercooled liquids at disordered walls
- Comment on: "Static correlations functions and domain walls in glass-forming liquids: The case of a sandwich geometry" [J. Chem. Phys. 138, 12A509 (2013)]
- Free energy cost of forming an interface between a crystal and its frozen version
- How non-equilibrium correlations in active matter reveal the topological crossover in glasses
- Response to "Comment on Static correlations functions and domain walls in glass-forming liquids: The case of a sandwich geometry" [J. Chem. Phys. 144, 227101 (2016)]