01633nas a2200169   4500008004100000022001400041245007900055210006900134260007900203300001100282490000700293520097700300100002401277700003401301700002201335856010601357       2011                        eng d  a1539-375500aMode-coupling glass transition in a fluid confined by a periodic potential0 aModecoupling glass transition in a fluid confined by a periodic   aONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USAbAMER PHYSICAL SOCcDEC  a0615010 v843 a<p>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)].</p>1 aNandi, Saroj, Kumar1 aBhattacharyya, Sarika, Maitra1 aRamaswamy, Sriram  uhttps://library.ncl.res.in/content/mode-coupling-glass-transition-fluid-confined-periodic-potential-001656nas a2200157   4500008004100000022001400041245005800055210005800113260000900171300001100180490000800191520115400199100002401353700003401377856008701411       2021                        eng d  a0031-900700aMicroscopic theory of softness in supercooled liquids0 aMicroscopic theory of softness in supercooled liquids  cMAY   a2080010 v1263 a<p>We introduce a new measure of the structure of a liquid which is the softness of the mean-field potential developed by us earlier. We find that this softness is sensitive to small changes in the structure. Then, we study its correlation with the supercooled liquid dynamics. The study involves a wide range of liquids (fragile, strong, attractive, repulsive, and active) and predicts some universal behaviors such as the softness being linearly proportional to the temperature and inversely proportional to the activation barrier of the dynamics with system dependent proportionality constants. We establish a master equation between the dynamics and the softness parameter and show that, indeed, the dynamics, when scaled by the temperature and system dependent parameters, show a data collapse when plotted against softness. The dynamics of fragile liquids show a strong softness dependence, whereas that of strong liquids show a much weaker softness dependence. We also connect the present study with the earlier studies of softness involving machine learning (ML), thus, providing a theoretical framework for understanding the ML results.</p>1 aNandi, Manoj, Kumar1 aBhattacharyya, Sarika, Maitra  uhttps://library.ncl.res.in/content/microscopic-theory-softness-supercooled-liquids