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Accueil du site > Seminars > Séminaires théorie > Theory Club Friday February 15 at 12:30pm in room 646A. Harukuni Ikeda: "Kinetic rule dependence of the slow dynamics of the supercooled liquids".

Theory Club Friday February 15 at 12:30pm in room 646A. Harukuni Ikeda: "Kinetic rule dependence of the slow dynamics of the supercooled liquids"

Unless otherwise stated, seminars and defences take place at 11:30 in room 454A of Condorcet building.

Kinetic rule dependence of the slow dynamics of the supercooled liquids

Harukuni Ikeda

Abstract: Supercooled liquids exhibit a dramatic slowing down upon decreasing the temperature, and eventually freeze without any structural changes. This is the so-called glass transition. The physical mechanism behind the glass transition is still unclear. One of the most fascinating theories to explain the glass transition is the so-called replica liquid theory (RLT) which identifies the glass transition with the one-step replica symmetric phase transition (1RSB) observed in some mean-field spin glass models [1] and in the infinite-dimensional limit of particle systems [2]. Since the pioneering work by Kirkpatrick, Thirumalai, and Wolynes in 1989 [1], a lot of efforts have been made to justify the theory and some numerical simulations indeed succeed to capture the thermodynamic signatures related to the 1RSB [3]. However, even if a 1RSB transition exists, it is not yet fully understood whether the slow dynamics observed in real supercooled liquids is related to such thermodynamic transition. In this study, we reformulate the RLT to clarify the relation between slow dynamics and a 1RSB transition [5]. We apply the theory to a mean-field model of the glass transition and calculate the glass transition point. Based on this analysis, we argue that, for some class of glassy materials, the slow dynamics is sensitive to the kinetic constrains induced by particle exchange. The details of our arguments are the following. First, we extend the original RLT so as to allow exchange of particles species even in a glassy state, which is motivated by recent observation obtained by Monte Carlo simulation with particle swap [4]. Using this theory, we show that there is a new glassy state which is thermodynamically more stable than that obtained by the conventional RLT. We argue that realistic algorithms without particle exchange hardly access this stable glass state because of a kinetic constraints that forbids particle exchange. This suggests that the slow dynamics observed in some supercooled liquids is a consequence of this kinetic constraint.

[1] TR. Kirkpatrick, D. Thirumalai, and, PG. Wolynes, Phys. Rev. A, 40, 1045 (1989) [2] G. Parisi and F. Zamponi, Rev. Mod. Phys., 82, 289 (2010) [3] G. Biroli et. al, Nat. Phys. 4, 771 (2008), S. Karmakar and G. Parisi, PNAS, 110(8), 2752 (2012), W. Kob and L. Berthier, 110, 245702 (2013), M. Ozawa et. al., PNAS, 112(22), 6914 (2015) [4] A. Ninarello, L. Berthier, and, D. Coslovich, Phys. Rev. X, 7, 021039 (2017) [5] H. Ikeda, F. Zamponi, and A. Ikeda, J. Chem. Phys., 147, 234506 (2017)

Friday, February 15th at 12:30pm in room 646A

Contact : Équipe séminaires / Seminar team - Published on / Publié le 13 January

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