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 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 behavior 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, Ph.D. thesis, Indian Institute of Science (2005); Kim , Eur. Phys. J. Special TopicsPRLTAO1951-635510.1140/epjst/e2010-01315-y 189, 135 (2010)] and a glass-glass transition. We compare our results to those of Krakoviack [Phys. Rev. EPLEEE81539-375510.1103/PhysRevE.75.031503 75, 031503 (2007)] and Lang [Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.105.125701 105, 125701 (2010)].
- Publication:
-
Physical Review E
- Pub Date:
- December 2011
- DOI:
- 10.1103/PhysRevE.84.061501
- arXiv:
- arXiv:1111.0155
- Bibcode:
- 2011PhRvE..84f1501N
- Keywords:
-
- 64.70.P-;
- 64.70.Q-;
- Glass transitions of specific systems;
- Theory and modeling of the glass transition;
- Condensed Matter - Soft Condensed Matter;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics
- E-Print:
- This is the published version of the paper, minor modification, few more references added