Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

Lerner, Edan; Bailey, Nicholas P.; Dyre, Jeppe C.

doi:10.1103/physreve.90.052304

Cited by 18 publications

(15 citation statements)

References 77 publications

(149 reference statements)

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“…This issue is discussed in detail in Appendix B. We would like to note that we are aware of qualitatively similar bumps in PDFs shown in previous works-in both experimental [30] and numerical works [40,64,65]. We emphasize that some of them are measured in completely inertialess conditions.…”

Section: Origin Of the Bump In The Large Size Regimesupporting

confidence: 68%

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Unified View of Avalanche Criticality in Sheared Glasses

Oyama,

Mizuno,

Ikeda

2020

Preprint

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Plastic events in sheared glasses are considered an example of so-called avalanches, whose sizes obey a power-law probability distribution with the avalanche critical exponent τ . Although meanfield theory predicts a universal value of this exponent, τMF = 1.5, numerical simulations have reported different values depending on the literature. Moreover, in the elastic regime, it has been noted that the critical exponent can be different from that in the steady state, and even criticality itself is a matter of debate. Because these confusingly varying results were reported under different setups, our knowledge of avalanche criticality in sheared glasses is greatly limited. To gain a unified understanding, in this work, we conduct a comprehensive numerical investigation of avalanches in Lennard-Jones glasses under athermal quasistatic shear. In particular, by excluding the ambiguity and arbitrariness that has crept into the conventional measurement schemes, we achieve high-precision measurement and demonstrate that the exponent τ in the steady state follows the mean-field prediction of τMF = 1.5. Our results also suggest that there are two qualitatively different avalanche events. This binariness leads to the non-universal behavior of the avalanche size distribution and is likely to be the cause of the varying values of τ reported thus far. To investigate the dependence of criticality and universality on applied shear, we further study the statistics of avalanches in the elastic regime and the ensemble of the first avalanche event in different samples, which provide information about the unperturbed system. We show that while the unperturbed system is indeed off-critical, criticality gradually develops as shear is applied. The degree of criticality is encoded in the fractal dimension of the avalanches, which starts from zero in the off-critical unperturbed state and saturates in the steady state. Moreover, the critical exponent obeys the mean-field prediction τMF universally, regardless of the amount of applied shear, once the system becomes critical.

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Section: Origin Of the Bump In The Large Size Regimesupporting

confidence: 68%

“…[38,39], and thus, our mainshocks are not due to the inertial effect possibly caused by the FIRE algorithm. Indeed, similar bumpy shapes have also been observed in studies where inertialess energy minimization protocols were employed [40,46,65].…”

Section: Conclusion and Overviewsupporting

confidence: 67%

Unified View of Avalanche Criticality in Sheared Glasses

Oyama,

Mizuno,

Ikeda

2020

Preprint

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“…Other applications of the isomorph theory beyond the realm of simple liquids include, for instance, rationalizing simulations of non-linear shear flows and zero-temperature plastic flows of glasses [186,187]. Several well-known melting line invariants like the Lindemann ratio may also be understood in terms of the isomorph theory, because the melting and freezing lines are both isomorphs to a good approximation [166].…”

Section: Isomorphsmentioning

confidence: 99%

Simple liquids’ quasiuniversality and the hard-sphere paradigm

Dyre

2016

J. Phys.: Condens. Matter

143

151

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“…Doing so would provide an energy unit, which can be used also for zero-temperature glass, thus justifying our use of the function h(ρ) in Ref. 48 as the energy scale of the flow-property probability distributions for T = 0 glasses (Sec. IV B): along a systemic isomorph T s ∝ h(ρ) according to Eq.…”

Section: What Is the Correct Energy Unit Defining Reduced Quantities?mentioning

confidence: 85%

Isomorph theory beyond thermal equilibrium

Dyre

2020

Preprint

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This paper generalizes isomorph theory to systems that are not in thermal equilibrium. The systems are assumed to be R-simple, i.e., have a potential energy that as a function of all particle coordinates R obeys the hidden-scale-invariance condition U (Ra) < U (R b ) ⇒ U (λRa) < U (λR b ). Generalized "systemic" isomorphs are lines of constant excess entropy in the phase diagram defined by density and systemic temperature, which is the temperature of the equilibrium state point with average potential energy equal to U (R). In thermal equilibrium, the systemic temperature is the bath temperature and the equilibrium isomorph formalism is recovered. The new approach rationalizes within a consistent framework previously published observations of isomorph invariance in simulations involving steady-state shear flow, zero-temperature plastic flows, and glass-state isomorphs. The paper relates also briefly the non-equilibrium isomorph formalism to physical aging, active matter, and granular media. It is proposed that for any steady-state R-simple system the effective temperature characterizing fluctuation-dissipation-theorem violations is identical to the systemic temperature. Finally, we discuss the possibility that the energy unit defining reduced quantities should be based on the systemic temperature instead of the bath temperature, as is currently the case.

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Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

Cited by 18 publications

References 77 publications

Unified View of Avalanche Criticality in Sheared Glasses

Unified View of Avalanche Criticality in Sheared Glasses

Simple liquids’ quasiuniversality and the hard-sphere paradigm

Isomorph theory beyond thermal equilibrium

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