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Dynamic criticality at the jamming transition | | Atsushi Ikeda
; Ludovic Berthier
; Giulio Biroli
; | | Date: |
Thu, 13 Sep 2012 08:32:37 GMT (1883kb) | | Abstract: | We characterize vibrational motion occurring at low temperatures in dense
suspensions of soft repulsive spheres over a broad range of volume fractions
encompassing the jamming transition at (T = 0, phi = phi_J). We find that
characteristic time and length scales of thermal vibrations obey critical
scaling in the vicinity of the jamming transition. We show in particular that
the amplitude and the time scale of dynamic fluctuations diverge symmetrically
on both sides of the transition, and directly reveal a diverging correlation
length. The critical region near phi_J is divided in three different regimes
separated by a characteristic temperature scale T*(phi) that vanishes
quadratically with the distance to phi_J. While two of them, (T < T*(phi), phi
> phi_J) and (T < T*(phi), phi < phi_J), are described by harmonic theories
developed in the zero temperature limit, the third one for T > T*(phi) is
inherently anharmonic and displays new critical properties. We find that the
quadratic scaling of T*(phi) is due to nonperturbative anharmonic
contributions, its amplitude being orders of magnitude smaller than the
perturbative prediction based on the expansion to quartic order in the
interactions. Our results show that thermal vibrations in colloidal assemblies
directly reveal the critical nature of the jamming transition. The critical
region, however, is very narrow and has not yet been attained experimentally,
even in recent specifically-dedicated experiments. | | Source: | arXiv, 1209.2814 | | Services: | Forum | Review | PDF | Favorites | |
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