Disconnected Glass-Glass Transitions and Diffusion Anomalies in a Model with Two Repulsive Length Scales

Matthias Sperl, Emanuela Zaccarelli, Francesco Sciortino, Pradeep Kumar, and H. Eugene Stanley
Phys. Rev. Lett. 104, 145701 – Published 5 April 2010

Abstract

Building on mode-coupling-theory calculations, we report a novel scenario for multiple glass transitions in a purely repulsive spherical potential: the square shoulder. The liquid-glass transition lines exhibit both melting by cooling and melting by compression as well as associated diffusion anomalies, similar to the ones observed in water. Differently from all previously investigated models, we find for small shoulder widths a glass-glass line that is disconnected from the liquid phase. Upon increasing the shoulder width such a glass-glass line merges with the liquid-glass transition lines, featuring two distinct end point singularities that give rise to logarithmic decays in the dynamics. We analytically explain these findings by considering the interplay of different repulsive length scales.

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  • Received 14 October 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.145701

©2010 American Physical Society

Authors & Affiliations

Matthias Sperl

  • Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany

Emanuela Zaccarelli and Francesco Sciortino

  • Dipartimento di Fisica and CNR-ISC, Universitá di Roma La Sapienza, Piazzale A. Moro 2, 00185 Roma, Italy

Pradeep Kumar

  • Center for Studies in Physics and Biology, Rockefeller University, New York, New York 10021, USA

H. Eugene Stanley

  • Department of Physics and Center for Polymer Studies, Boston University, Boston, Massachusetts 02215, USA

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Vol. 104, Iss. 14 — 9 April 2010

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