Apparent Violation of the Fluctuation-Dissipation Theorem due to Dynamic Heterogeneity in a Model Glass-Forming Liquid

Takeshi Kawasaki and Hajime Tanaka
Phys. Rev. Lett. 102, 185701 – Published 7 May 2009

Abstract

Here we study the relation between the mobility and the translational diffusion in supercooled two-dimensional polydisperse colloidal liquids, using numerical simulations. We find an apparent violation of the Einstein-Smoluchowski (ES) relation D=kBTμ (D: diffusion constant; μ: mobility; kB; Boltzmann’s constant; T: temperature). The violation is a direct consequence of the fact that it is difficult for a driven particle to enter a jammed region with high order due to its yield stress. The degree of this apparent ES violation is controlled solely by the characteristic size of slow jammed regions, ξ. Our finding implies that the characteristic time of this problem is not the structural relaxation time τα but the lifetime of dynamic heterogeneity, τξ. A supercooled liquid can be regarded to be ergodic only over τξ, which may be the slowest intrinsic time scale of the system.

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  • Received 9 May 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.185701

©2009 American Physical Society

Authors & Affiliations

Takeshi Kawasaki and Hajime Tanaka*

  • Institute of Industrial Science, University of Tokyo, Meguro-ku, Tokyo 153-8505, Japan

  • *tanaka@iis.u-tokyo.ac.jp

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Issue

Vol. 102, Iss. 18 — 8 May 2009

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