Investigation of nonlinear effects in glassy matter using dielectric methods

Lunkenheimer, P.; Michl, M.; Bauer, Th.; Loidl, A.

doi:10.1140/epjst/e2017-70075-7

Cited by 26 publications

(34 citation statements)

References 125 publications

(330 reference statements)

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“…The fundamental frequency fully dominates the response behavior in a linear way. This is in accordance to results obtained by dielectric spectroscopy (DES)-measurements [147,116,118,84]. In the case of emerging nonlinearity under high eld excitation, the highest response amplitudes are observed at rst and third harmonic frequency.…”

Section: Qualitative Response Behavior Based On Lissajous-figuressupporting

confidence: 91%

“…Thus, the temperature dependence as well as the reducing eect on the compliance of the third harmonic contribution is of comparable nature in case of LAOS-experiments. In dielectric spectroscopy the third harmonic coecient has an opposed eect on the susceptibility, as it enhances the response signal in the same way as the rst harmonic contribution [84]. For this reason, the origin of the third harmonic might also be of a dierent kind for DES and DMA-experiments.…”

Section: Qualitative Response Behavior Based On Lissajous-figuresmentioning

confidence: 99%

“…For this reason, the origin of the third harmonic might also be of a dierent kind for DES and DMA-experiments. For DES-measurements, a connection of the third harmonic nonlinear coecient to the intensity of particle-correlation is reported [16,23,84]. It results in the number of correlated particles N corr which is extracted from the third harmonic nonlinear coecient 3¦ 3 , which disposes a hump in dependence on measurement frequency.…”

Section: Qualitative Response Behavior Based On Lissajous-figuresmentioning

confidence: 99%

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Nonlinear response and avalanche behavior in metallic glasses

Riechers

Samwer

2017

Eur. Phys. J. Spec. Top.

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The response to dierent stress amplitudes at temperatures below the glass transition temperature is analyzed by mechanical oscillatory excitation of Pd 40 Ni 40 P 20 metallic glass samples in single cantilever bending geometry. The strain response of the material is well below the critical yield stress even for highest stress amplitudes, implying the expectation of a linear relation between stress and strain according to Hook's Law. However, a deviation from the linear behavior is evident, which is evaluated in terms of temperature dependence and inuence of the applied stress amplitude by two dierent approaches of evaluation. The nonlinear approach is based on a nonlinear expansion of the stress-strain-relation, assuming an intrinsic nonlinear character of the shear or elastic modulus. The degree of nonlinearity is extracted by a period-by-period Fourier-analysis and connected to nonlinear coecients, describing the intensity of nonlinearity at the fundamental and higher harmonic frequencies. While rather small stress amplitudes are connected to a linear response behavior, higher stress amplitudes result in nonlinear behavior, which is enhanced with increasing temperature. The characteristic timescale to adapt to a signicant change in stress amplitude in terms of a recovery timescale to a steady state value is connected to the structural relaxation time of the material, suggesting a connection between the observed nonlinearity and primary relaxation processes. The second approach of evaluation is termed the incremental analysis and relates the observed response behavior to avalanches, which occur due to the activation and correlation of local microstructural rearrangements consisting of a few tens of atoms. These rearrangements are termed as shear transformation zones and correspond to localized plastic events, which are superimposed on the linear response behavior of the material. Temperature and stress enhance the occurrence of intervals of monotonously increasing or decreasing strain. These are connected to avalanche behavior according to the power-law observed in the distributions of strain response. Despite the onset of nonlinearity observed in connection with the nonlinear analysis, the power-law behavior is extracted for all applied stress amplitudes, high and low, suggesting activated plastic events throughout the so called Hookean response regime. The intensity of strain response itself shows a direct relation to the strain rate of the experiment. Both approaches of evaluation are compared regarding common aspects and limits. Response phenomena connected to plastic events in the linear response regime are barely reported in literature even though their existence is implied. The incremental analysis yields experimental evidence supporting their occurrence. Moreover it reects the limits of the nonlinear approach, which neglects strain response on the small scale by the period-wise analysis of the data, resulting in an apparent linear strain response. Still, the nonlinear approach illustrates clearl...

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Section: Qualitative Response Behavior Based On Lissajous-figuressupporting

confidence: 91%

Section: Qualitative Response Behavior Based On Lissajous-figuresmentioning

confidence: 99%

Section: Qualitative Response Behavior Based On Lissajous-figuresmentioning

confidence: 99%

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Nonlinear response and avalanche behavior in metallic glasses

Riechers

Samwer

2017

Eur. Phys. J. Spec. Top.

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“…The leading higher-harmonic contributions in large amplitude oscillatory shearing in the dielectric susceptibility and the conductivity are measured experimentally as a function of the magnitude of the external field, which has to be controlled accurately. As one of the highlights reported here, the structure of the critical clusters at the thermodynamic glass transition could be revealed [9]. The dependence of the breakdown of linear response to the chosen external field variable for the different experimental protocols needs careful consideration from the theoretical perspective as described in reference [3].…”

mentioning

confidence: 93%

“…Therefore all manuscripts collected here relate to this issue. It has a particular importance for the experimental nonlinear spectroscopy performed using mechanical [1,2] and electrical fields [6,9]. The leading higher-harmonic contributions in large amplitude oscillatory shearing in the dielectric susceptibility and the conductivity are measured experimentally as a function of the magnitude of the external field, which has to be controlled accurately.…”

mentioning

confidence: 99%

Recent advances on glass-forming systems driven far from equilibrium

Fuchs

2017

Eur. Phys. J. Spec. Top.

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Abstract. The nature of the glass transition is one of the frontier questions in Statistical Physics and Materials Science. Highly cooperative structural processes develop in glass-forming melts exhibiting relaxational dynamics which is spread out over many decades in time. While considerable progress has been made in recent decades towards understanding dynamical slowing-down in quiescent systems, the interplay of glassy dynamics with external fields reveals a wealth of novel phenomena yet to be explored.This special issue focuses on recent results obtained by the Research Unit FOR 1394 'Nonlinear response to probe vitrification' which was funded by the German Science Foundation (DFG). In the projects of the research unit, strong external fields were used in order to gain insights into the complex structural and transport phenomena at the glass transition under far-fromequilibrium conditions. This aimed inter alia to test theories of the glass transition developed for quiescent systems by pushing them beyond their original regime. Combining experimental, simulational, and theoretical efforts, the eight projects within the FOR 1394 measured and determined aspects of the nonlinear response of supercooled metallic, polymeric, and silica melts, of colloidal dispersions, and of ionic liquids. Applied fields included electric and mechanic fields, and forced active probing ('micro-rheology'), where a single probe is forced through the glass-forming host. Nonlinear stressstrain and force-velocity relations as well as nonlinear dielectric susceptibilities and conductivities were observed. While the physical manipulation of melts and glasses is interesting in its own right, especially technologically, the investigations performed by the FOR 1394 suggest to use the response to strong homogeneous and inhomogeneous fields as technique to explore on the microscopic level the cooperative mechanisms in dense melts of strongly interacting constituents.Questions considered concern the (de-)coupling of different dynamical degrees of freedom in an external field, and the ensuing state a

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Multiple Time Scales in Amorphous Materials

Hecksher

2023

Mathematics Online First Collections

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Investigation of nonlinear effects in glassy matter using dielectric methods

Cited by 26 publications

References 125 publications

Nonlinear response and avalanche behavior in metallic glasses

Nonlinear response and avalanche behavior in metallic glasses

Recent advances on glass-forming systems driven far from equilibrium

Multiple Time Scales in Amorphous Materials

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