Memory effects in the relaxation of the Gaussian trap model

Diezemann, Gregor; Heuer, Andreas

doi:10.1103/physreve.83.031505

Cited by 29 publications

(43 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(36) and (37) show that the iso-structural viscosity has lower activation enthalpy than the equilibrium activation enthalpy at β = β f . Further, this difference increases with increase in the fragility of the system.…”

Section: Comparison Of the Iso-structural Viscosity Model With Observmentioning

confidence: 96%

“…We now model the α-barrier height, B α (e), out of a MB of energy e, using the trap dynamics [35,36]. In a trap model, the escape from a MB depends only on the energy of the MB and occurs via activation to a 'communal' transition state.…”

Section: The Percolation Energy Model Of Thermally Activated Trap Dynmentioning

confidence: 99%

“…Eq (36) shows that the iso-structural activation enthalpy decreases with increase in fictive temperature.…”

mentioning

confidence: 96%

See 2 more Smart Citations

Physics of the iso-structural viscosity

Gupta

Heuer

2012

Journal of Non-Crystalline Solids

Self Cite

View full text Add to dashboard Cite

Section: Comparison Of the Iso-structural Viscosity Model With Observmentioning

confidence: 96%

Section: The Percolation Energy Model Of Thermally Activated Trap Dynmentioning

confidence: 99%

See 1 more Smart Citation

Physics of the iso-structural viscosity

Gupta

Heuer

2012

Journal of Non-Crystalline Solids

Self Cite

View full text Add to dashboard Cite

“…However, in these references only the average value of the energy distribution has been used to determine T eff . While in this particular case both definitions would lead essentially to the same values, it has been found in another context 47 , that the average value alone might be misleading, since it can result from very different distributions. Using the procedure depicted above would uncover such deviations by not showing straight lines in Fig.…”

Section: A Distribution Of Energiesmentioning

confidence: 99%

Understanding the nonlinear dynamics of driven particles in supercooled liquids in terms of an effective temperature

Schroer

Heuer

2015

The Journal of Chemical Physics

Self Cite

View full text Add to dashboard Cite

In active microrheology the mechanical properties of a material are tested by adding probe particles which are pulled by an external force. In case of supercooled liquids, strong forcing leads to a thinning of the host material which becomes more pronounced as the system approaches the glass transition. In this work we provide a quantitative theoretical description of this thinning behavior based on the properties of the Potential Energy Landscape (PEL) of a model glass-former. A key role plays the trap-like nature of the PEL. We find that the mechanical properties in the strongly driven system behave the same as in a quiescent system at an enhanced temperature, giving rise to a well-characterized effective temperature. Furthermore, this effective temperature turns out to be independent of the chosen observable and individually shows up in the thermodynamic and dynamic properties of the system. Based on this underlying theoretical understanding, we can estimate its dependence on temperature and force by the PEL-properties of the quiescent system. We furthermore critically discuss the relevance of effective temperatures obtained by scaling relations for the description of out-of-equilibrium situations.

show abstract

“…Analogous phenomena were observed in the time-dependant viscosity of metallic glasses [39] and the density of agitated granular systems [19] as well as in numerical studies [40,41]. Despite recent progress [42][43][44][45][46], this phenomenon is still not well understood. Our observations and their agreement with a phenomenological framework known to describe relaxation and aging in glassy systems are clear evidence that athermal mechanical systems can exhibit glassy dynamics and that the …”

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 62%

A Crumpled Sheet’s Remembrance of Things Past

Keim

2017

Physics

View full text Add to dashboard Cite

We observe nonmonotonic aging and memory effects, two hallmarks of glassy dynamics, in two disordered mechanical systems: crumpled thin sheets and elastic foams. Under fixed compression, both systems exhibit monotonic nonexponential relaxation. However, when after a certain waiting time the compression is partially reduced, both systems exhibit a nonmonotonic response: the normal force first increases over many minutes or even hours until reaching a peak value, and only then is relaxation resumed. The peak time scales linearly with the waiting time, indicating that these systems retain long-lasting memory of previous conditions. Our results and the measured scaling relations are in good agreement with a theoretical model recently used to describe observations of monotonic aging in several glassy systems, suggesting that the nonmonotonic behavior may be generic and that athermal systems can show genuine glassy behavior. DOI: 10.1103/PhysRevLett.118.085501 Many disordered systems exhibit phenomenologically similar slow relaxation dynamics that may span many time scales-from fractions of a second to days and even years. Examples range from time-dependent resistivity in disordered conductors [1][2][3][4][5], flux creep in superconductors [6,7], dynamics of spin glasses [8][9][10][11], structural relaxation of colloidal glasses [12,13], time dependence of the static coefficient of friction [14][15][16], thermal expansion of polymers [17,18], compaction in agitated granular systems [19], and crumpling of thin sheets under load [20,21]. The ubiquity of slow relaxation phenomena suggests the existence of common underlying physical principles [9,[22][23][24][25][26][27]. However, as slow relaxation is usually a smooth, featureless process, it is hard to discern between the different descriptions using experiments. One way of probing deeper into the time-dependent properties of glassy systems is using a phenomenon known as aging, where the manner in which the system relaxes towards equilibrium depends on its history.In this Letter, we report nonmonotonic aging dynamics that give rise to a maximum in the relaxation curve. This extremum provides an unambiguous signature of aging and memory, as well as a clear, measurable time scale. We experimentally study two distinct disordered mechanical systems: crumpled thin sheets and elastic foams, shown in Fig. 1. When compressed, both systems exhibit monotonic, slow stress relaxation [Figs. 1(b) and 1(e)]. When the compression is decreased after a certain waiting time, the stress evolution remarkably becomes nonmonotonic: under constant compression, the measured normal force first increases slowly over seconds to hours, reaches a welldefined peak, and then reverses to a renewed slow relaxation [Figs. 1(c) and 1(f)]. In both systems, the stress peak time is linear in the waiting time, indicating that the different systems carry a similar, long-lasting memory of previous mechanical states. These observations are inconsistent with the single-parameter model used to explain logarith...

show abstract

Memory effects in the relaxation of the Gaussian trap model

Cited by 29 publications

References 35 publications

Physics of the iso-structural viscosity

Physics of the iso-structural viscosity

Understanding the nonlinear dynamics of driven particles in supercooled liquids in terms of an effective temperature

A Crumpled Sheet’s Remembrance of Things Past

Contact Info

Product

Resources

About