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We have measured, as a function of the age $t_a$, the aging of the nonlinear dielectric susceptibility $\chi_3$ of glycerol below the glass transition. Whereas the linear susceptibility can be accurately accounted for in terms of an age…

Soft Condensed Matter · Physics 2015-06-11 C. Brun , F. Ladieu , L'Hôte , G. Biroli , Jean-Philippe Bouchaud

We present a detailed study of the heating effects in dielectric measurements carried out on a liquid. Such effects come from the dissipation of the electric power in the liquid and give a contribution to the nonlinear third harmonics…

Soft Condensed Matter · Physics 2015-05-20 C. Brun , C. Crauste-Thibierge , F. Ladieu , D. L'Hôte

The dielectric response of supercooled liquids is phenomenologically modeled by a set of Asymmetric Double Wells (ADW), where each ADW contains a dynamical heterogeneity of $N_{corr}$ molecules. We find that the linear macroscopic…

Soft Condensed Matter · Physics 2012-03-08 François Ladieu , Coralie Brun , Denis L'Hôte

We use recently introduced three-point dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules, N_corr, that are dynamically correlated during the structural relaxation of…

We study theoretically the non-linear response properties of glass formers. We establish several general results which, together with the assumption of Time-Temperature Superposition, lead to a relation between the non-linear response and…

Statistical Mechanics · Physics 2009-12-19 Marco Tarzia , Giulio Biroli , Jean-Philippe Bouchaud , Alexandre Lefèvre

The slowing down of molecular dynamics when approaching the glass transition generally proceeds much stronger than expected for thermally activated motions. This strange phenomenon can be formally ascribed to a temperature-dependent…

Soft Condensed Matter · Physics 2013-11-28 Th. Bauer , P. Lunkenheimer , A. Loidl

This work aims at reconsidering several interpretations coexisting in the recent literature concerning non-linear susceptibilities in supercooled liquids. We present experimental results on glycerol and propylene carbonate showing that the…

Disordered Systems and Neural Networks · Physics 2017-11-02 P. Gadige , S. Albert , M. Mich , Th. Bauer , P. Lunkenheimer , A. Loidl , R. Tourbot , C. Wiertel-Gasquet , G. Biroli , J. -P. Bouchaud , F. Ladieu

The dynamic structure factor of glassy and liquid glycerol has been measured by inelastic X-ray scattering in the exchanged momentum ($Q$) region $Q$=2$\div$23 nm$^{-1}$ and in the temperature range 80$\div$570 K. Beside the propagating…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Scopigno , E. Pontecorvo , R. Di Leonardo , M. Krisch , G. Monaco , G. Ruocco , B. Ruzicka , F. Sette

We argue that for generic systems close to a critical point, an extended Fluctuation-Dissipation relation connects the low frequency non-linear (cubic) susceptibility to the four-point correlation function. In glassy systems, the latter…

Statistical Mechanics · Physics 2009-11-11 Jean-Philippe Bouchaud , Giulio Biroli

Advances in high-precision dielectric spectroscopy has enabled access to non-linear susceptibilities of polar molecular liquids. The observed non-monotonic behavior has been claimed to provide strong support for theories of dynamic arrest…

Soft Condensed Matter · Physics 2021-07-07 Thomas Speck

Experimental measurements of nonlinear dielectric response in glassformers like supercooled glycerol or propylene carbonate have been interpreted as providing evidence for a growing thermodynamic length scale when lowering temperature. A…

Disordered Systems and Neural Networks · Physics 2026-01-08 Eric Bertin , François Ladieu

We review the works devoted to third and fifth harmonic susceptibilities in glasses, namely $\chi$ (3) 3 and $\chi$ (5) 5. We explain why these nonlinear responses are especially well adapted to test whether or not some amorphous…

Soft Condensed Matter · Physics 2020-01-29 Samuel Albert , M. Michl , P. Lunkenheimer , A. Loidl , P. Déjardin , F. Ladieu

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

Disordered Systems and Neural Networks · Physics 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

The super-cooled $N3$ model exhibits an increasingly slow dynamics as density approaches the model's random closest packing density. Here, we present a direct measurement of the dynamical correlation function $G_4(r,t)$, showing the…

Statistical Mechanics · Physics 2010-12-21 Ziv Rotman , Eli Eisenberg

A theory for the nonlinear energy response of a system subjected to a heat bath is developed when the temperature of the heat bath is modulated sinusoidally. The theory is applied to a model glass forming system, where the landscape is…

Statistical Mechanics · Physics 2009-11-13 Fumitaka Tagawa , Takashi Odagaki

We have measured the linear dielectric susceptibility of two molecular glass formers close to Tg in order to estimate the size of the dynamically correlated clusters of molecules which are expected to govern the physics of glass formation.…

Statistical Mechanics · Physics 2009-11-13 François Ladieu , Caroline Thibierge , Denis L'Hôte

We search for a Gardner transition in glassy glycerol, a standard molecular glass, measuring the third harmonics cubic susceptibility $\chi_3^{(3)}$ from slightly below the usual glass transition temperature down to $10K$. According to the…

Disordered Systems and Neural Networks · Physics 2021-01-20 Samuel Albert , Giulio Biroli , François Ladieu , Roland Tourbot , Pierfrancesco Urbani

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

We study the growth kinetics of glassy correlations in a structural glass by monitoring the evolution, within mode-coupling theory, of a suitably defined three-point function $\chi_C(t,t_w)$ with time $t$ and waiting time $t_w$. From the…

Soft Condensed Matter · Physics 2016-07-08 Saroj Kumar Nandi , Sriram Ramaswamy

Self- and cross-correlation dynamics of deeply supercooled liquids were recently identified using photon correlation spectroscopy and spin relaxometry on the one hand, and using dielectric investigations on the other. These results fueled a…

Soft Condensed Matter · Physics 2021-03-09 K. Moch , P. Münzner , R. Böhmer , C. Gainaru
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