Fluctuations in an aging system: the absence of an effective temperature in the sol–gel transition of a quenched gelatin sample

Antoine Bérut; Artyom Petrosyan; Juan Ruben Gomez-Solano; Sergio Ciliberto

Fluctuations in an aging system: the absence of an effective temperature in the sol–gel transition of a quenched gelatin sample

Antoine Bérut ¹ Artyom Petrosyan ¹ Juan Ruben Gomez-Solano ¹ Sergio Ciliberto ¹

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

Abstract : We study the fluctuations of a Brownian micro particle trapped with optical tweezers in a gelatin solution undergoing a fast local temperature quench below the sol-gel transition. Contrary to what was previously reported, we observe no anomalous fluctuations in the particle's position that could be interpreted in terms of an effective temperature. A careful analysis with ensemble averages shows only equilibrium-like properties for the fluctuations, even though the system is clearly aging. We also provide a detailed discussion on possible artifacts that could have been interpreted as an effective temperature, such as the presence of a drift or a mixing in time and ensemble averages in data analysis. These considerations are of general interest when dealing with non-ergodic or non-stationary systems.

Keywords : Disordered Systems Brownian Motion Gel colloïdal Ergodicity breaking

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Statistical Mechanics [cond-mat.stat-mech]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01192667
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Submitted on : Thursday, September 3, 2015 - 11:41:36 AM
Last modification on : Thursday, July 18, 2019 - 10:30:05 AM
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Fluctuations in an aging system: the absence of an effective temperature in the sol–gel transition of a quenched gelatin sample

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Fluctuations in an aging system: the absence of an effective temperature in the sol–gel transition of a quenched gelatin sample

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