@article{ISI:000297792700001, 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 et al., Eur. Phys. J. Special Topics 189, 135 (2010)] and a glass-glass transition. We compare our results to those of Krakoviack [Phys. Rev. E 75, 031503 (2007)] and Lang et al. [Phys. Rev. Lett. 105, 125701 (2010)].}, article-number = {061501}, author = {Nandi, Saroj Kumar and Bhattacharyya, Sarika Maitra and Ramaswamy, Sriram}, doi = {10.1103/PhysRevE.84.061501}, eissn = {1550-2376}, issn = {1539-3755}, journal = {PHYSICAL REVIEW E}, month = {DEC 2}, number = {6, 1}, orcid-numbers = {Nandi, Saroj/0000-0003-0977-1947 Maitra Bhattacharyya, Sarika/0000-0003-0831-5069}, researcherid-numbers = {Bhattacharyya, Sarika/AAN-8013-2020 }, times-cited = {9}, title = {Mode-coupling glass transition in a fluid confined by a periodic potential}, unique-id = {ISI:000297792700001}, volume = {84}, year = {2011} }