The mode-coupling glass transition in a fluid confined by a periodic potential
Abstract
We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory (MCT) at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement imposed through a periodic potential whose wavelength plays an important role in our treatment. To make the calculation tractable we implement a detailed calculation in one dimension. Although we do not expect simple 1d fluids to show a glass transition, our results are indicative of the behaviour expected in higher dimensions. In a certain region of parameter space we observe a three-step relaxation reported recently in computer simulations [S.H. Krishnan, PhD thesis, Indian Institute of Science (2005); Kim et al., Eur. Phys. J-ST 189, 135-139 (2010)] and a glass-glass transition. We compare our results to those of Krakoviack, PRE 75, 031503 (2007) and Lang et al., PRL 105, 125701 (2010).
Keywords
Cite
@article{arxiv.1111.0155,
title = {The mode-coupling glass transition in a fluid confined by a periodic potential},
author = {Saroj Kumar Nandi and Sarika Maitra Bhattacharyya and Sriram Ramaswamy},
journal= {arXiv preprint arXiv:1111.0155},
year = {2013}
}
Comments
This is the published version of the paper, minor modification, few more references added