Fluctuation-Dissipation Theorem in an Aging Colloidal Glass

Jabbari-Farouji, Sara; Mizuno, Daisuke; Atakhorrami, M.; MacKintosh, F. C.; Schmidt, Christoph F.; Eiser, Erika; Wegdam, G.H.; Bonn, Daniel

doi:10.1103/physrevlett.98.108302

Cited by 73 publications

(88 citation statements)

References 32 publications

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“…(45) at order O(ε 5/2 ) with the initial values of the modes taken from a uniform distribution in the interval [−0.4; 0.4]. Subsequently the stationary probability density P s (u c ) was computed by an ensemble average over 1000 simulated paths, which showed stationary behavior after 4 × 10 5 time steps.…”

Section: Spatially Uncorrelated Fluctuations In the Mode Equationsmentioning

confidence: 99%

“…A first choice considers random fluctuations uncorrelated in space and time. Such fluctuations may originate from thermal background activity and have been measured experimentally in spatial systems [44,45]. Further, spatially correlated fluctuations have been shown to yield pattern formation for multiplicative [18,[46][47][48] and additive noise [49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift–Hohenberg equation

Hutt

Longtin

Schimansky‐Geier

2008

Physica D: Nonlinear Phenomena

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Section: Spatially Uncorrelated Fluctuations In the Mode Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift–Hohenberg equation

Hutt

Longtin

Schimansky‐Geier

2008

Physica D: Nonlinear Phenomena

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“…Moreover, due to their out-of-equilibrium nature, Laponite suspensions were used to test possible violations of the fluctuationdissipation theorem (FDT) [39,40]. Several recent microrheology experiments tend to prove that the effective temperature cannot be distinguished from the bath temperature, so that the FDT remains valid [41,42], but such results are still under debate [43].…”

Section: Structure and Rheology Of Laponite Suspensionsmentioning

confidence: 99%

Shear-induced fragmentation of laponite suspensions

et al. 2009

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Simultaneous rheological and velocity profile measurements are performed in a smooth Couette geometry on Laponite suspensions seeded with glass microspheres and undergoing the shear-induced solid-to-fluid (or yielding) transition. Under these slippery boundary conditions, a rich temporal behaviour is uncovered, in which shear localization is observed at short times, that rapidly gives way to a highly heterogeneous flow characterized by intermittent switching from plug-like flow to linear velocity profiles. Such a temporal behaviour is linked to the fragmentation of the initially solid sample into blocks separated by fluidized regions. These solid pieces get progressively eroded over time scales ranging from a few minutes to several hours depending on the applied shear ratė γ. The steady-state is characterized by a homogeneous flow with almost negligible wall slip. The characteristic time scale for erosion is shown to diverge below some critical shear rateγ ⋆ and to scale as (γ −γ ⋆ ) −n with n ≃ 2 aboveγ ⋆ . A tentative model for erosion is discussed together with open questions raised by the present results.

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“…Thus far, experiments studying the breakdown of the FDR in structural and soft colloidal glasses have focused on the quasi-equilibrium regime with t w > t − t w , and have given a range of results that have found strong [18][19][20] , weak 21 or nonexistent 22 FDR violations. The strong-ageing regime has been difficult to access in these systems, owing largely to instrumental and statistical challenges of measuring thermal noise at the very low frequencies required.…”

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confidence: 99%

Nanoscale non-equilibrium dynamics and the fluctuation–dissipation relation in an ageing polymer glass

Oukris

Israeloff

2009

Nature Phys

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Response functions 1 and fluctuations 2 measured locally in complex materials should equally well characterize mesoscopic-scale dynamics. The fluctuation-dissipation relation (FDR) relates the two in equilibrium, a fact used regularly, for example, to infer mechanical properties of soft matter from the fluctuations in light scattering 3 . In slowly evolving non-equilibrium systems, such as ageing spin 4,5 and structural glasses 6,7 , sheared soft matter 8 and active matter 9 , a form of FDR has been proposed in which an effective temperature 10 , T eff , replaces the usual temperature, and universal behaviour is found in mean-field models 10,11 and simulations 6-8,12 . Thus far, only experiments on spin-glasses 13 and liquid crystals 14 have succeeded in accessing the strong-ageing regime, where T eff > T and possible scaling behaviour are expected. Here we test these ideas through measurements of local dielectric response and polarization noise in an ageing structural glass, polyvinyl acetate. The relaxation-time spectrum, as measured by noise, is compressed, and by response, is stretched, relative to equilibrium, requiring an effective temperature with a scaling behaviour similar to that of certain mean-field spin-glass models.The FDR expresses the equilibrium thermal fluctuations of an observable, O, in terms of available thermal energy, k B T (where k B is the Boltzmann constant), and the linear response of that observable to an applied field, F (ref. 10). It also relates the time (t ) dependence of the fluctuations, found in the autocorrelation function, C(t ) = δO(t + t )δO(t ) t , and the time-dependent susceptibility, χ (t ) = O(t )/F , where F is applied at t = 0. In equilibrium, C(t ) should contain the same information about the dynamics that is found in χ (t ), such as the spectrum of relaxation times. This is seen clearly in plotting χ (t ) versus C(t ) and obtaining a straight line, with a negative slope inversely proportional to temperature 10 . Deviations from the FDR have been intensively studied theoretically in ageing or driven glassy systems, both on the macroscale 8,10 and nanoscale 12 . Ageing occurs in glassy materials that have been quenched from high to low temperature. During ageing, the response functions depend both on time, t , and on the age of the system since the quench, t w . However, χ (t , t w ) and C(t , t w ) need not have the same dependence. This can be understood conceptually by viewing ageing dynamics as hopping on a tilted energy landscape 11 : energy-lowering transitions cause more rapid decorrelation than is possible by thermal energy alone. Prominent glass-transition models 15 place fragile structural glasses 6,16 in the same universality class as mean-field p-spin models with single-step replica symmetry breaking 17 . In such models 10 and simulations of structural glasses 7 , the χ (t ,t w ) versus C(t ,t w ) asymptotically collapse (with increasing t w ) to a single scaling Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA. *e-mail: n...

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Fluctuation-Dissipation Theorem in an Aging Colloidal Glass

Cited by 73 publications

References 32 publications

Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift–Hohenberg equation

Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift–Hohenberg equation

Shear-induced fragmentation of laponite suspensions

Nanoscale non-equilibrium dynamics and the fluctuation–dissipation relation in an ageing polymer glass

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