Edan Lerner
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View article: The strain-stiffening critical exponents in polymer networks and their universality
The strain-stiffening critical exponents in polymer networks and their universality Open
Disordered athermal biopolymer materials, such as collagen networks that constitute a major component in extracellular matrices and various connective tissues, are initially soft and compliant but stiffen dramatically under strain. Such ne…
View article: Yielding and memory in a driven mean-field model of glasses
Yielding and memory in a driven mean-field model of glasses Open
Glassy systems reveal a wide variety of generic behaviors, which lack a unified theoretical description. Here, we study a mean-field model, recently shown to reproduce the universal non-phononic vibrational spectra of glasses, under oscill…
View article: Effects of shear stability and residual stresses in computer glasses
Effects of shear stability and residual stresses in computer glasses Open
Numerical investigations of disordered solids often involve employing a fixed simulation-box geometry and periodic boundary conditions, the latter are intended to minimize surface effects. One consequence of this methodological approach is…
View article: Experimental evidence for the <i>ω</i>4 tail of the nonphononic spectra of glasses
Experimental evidence for the <i>ω</i>4 tail of the nonphononic spectra of glasses Open
It is now established that glasses feature low-frequency, nonphononic excitations, in addition to phonons that follow Debye’s vibrational density of state (VDoS). Extensive computer studies demonstrated that these nonphononic, glassy excit…
View article: Testing the Heterogeneous-Elasticity Theory for low-energy excitations in structural glasses
Testing the Heterogeneous-Elasticity Theory for low-energy excitations in structural glasses Open
Understanding the statistical mechanics of low-energy excitations in structural glasses has been the focus of extensive research efforts in the past decades due to their key roles in determining the low-temperature mechanical and transport…
View article: Elementary processes in dilatational plasticity of glasses
Elementary processes in dilatational plasticity of glasses Open
Materials typically fail under complex stress states, essentially involving dilatational (volumetric) components that eventually lead to material decohesion/separation. It is therefore important to understand dilatational irreversible defo…
View article: Experimental evidence for the $ω^4$ tail of the nonphononic spectra of glasses
Experimental evidence for the $ω^4$ tail of the nonphononic spectra of glasses Open
It is now established that glasses feature low-frequency, nonphononic excitations, in addition to phonons that follow Debye's vibrational density of state (VDoS). Extensive computer studies demonstrated that these nonphononic, glassy excit…
View article: Enumerating low-frequency nonphononic vibrations in computer glasses
Enumerating low-frequency nonphononic vibrations in computer glasses Open
In addition to Goldstone phonons that generically emerge in the low-frequency vibrational spectrum of any solid, crystalline or glassy, structural glasses also feature other low-frequency vibrational modes. The nature and statistical prope…
View article: Boson peak in the vibrational spectra of glasses
Boson peak in the vibrational spectra of glasses Open
A hallmark of glasses is an excess of low-frequency, nonphononic vibrations. It is manifested as a terahertz peak—the boson peak—in the ratio of the vibrational density of state (VDoS) and Debye's VDoS of phonons. Here, using experimental …
View article: Elasticity and rheology of auxetic granular metamaterials
Elasticity and rheology of auxetic granular metamaterials Open
The flowing, jamming, and avalanche behavior of granular materials is satisfyingly universal and vexingly hard to tune: A granular flow is typically intermittent and will irremediably jam if too confined. Here, we show that granular metama…
View article: Elasticity of self-organized frustrated disordered spring networks
Elasticity of self-organized frustrated disordered spring networks Open
There have been some interesting recent advances in understanding the notion of mechanical disorder in structural glasses and the statistical mechanics of these systems' low-energy excitations. Here we contribute to these advances by study…
View article: Scaling regimes and fluctuations of observables in computer glasses approaching the unjamming transition
Scaling regimes and fluctuations of observables in computer glasses approaching the unjamming transition Open
Under decompression, disordered solids undergo an unjamming transition where they become under-coordinated and lose their structural rigidity. The mechanical and vibrational properties of these materials have been an object of theoretical,…
View article: Effects of coordination and stiffness scale-separation in disordered elastic networks
Effects of coordination and stiffness scale-separation in disordered elastic networks Open
Many fibrous materials are modeled as elastic networks featuring a substantial separation between the stiffness scales that characterize different microscopic deformation modes of the network's constituents. This scale separation has been …
View article: Auxetic Granular Metamaterials
Auxetic Granular Metamaterials Open
The flowing, jamming and avalanche behavior of granular materials is satisfyingly universal and vexingly hard to tune: a granular flow is typically intermittent and will irremediably jam if too confined. Here, we show that granular metamat…
View article: Scaling regimes and fluctuations of observables in computer glasses approaching the unjamming transition
Scaling regimes and fluctuations of observables in computer glasses approaching the unjamming transition Open
Under decompression, disordered solids undergo an unjamming transition where they become under-coordinated and lose their structural rigidity. The mechanical and vibrational properties of these materials have been an object of theoretical,…
View article: Boson-peak vibrational modes in glasses feature hybridized phononic and quasilocalized excitations
Boson-peak vibrational modes in glasses feature hybridized phononic and quasilocalized excitations Open
A hallmark of structural glasses and other disordered solids is the emergence of excess low-frequency vibrations on top of the Debye spectrum DDebye(ω) of phonons (ω denotes the vibrational frequency), which exist in any solid whose Hamilt…
View article: Self-Oscillation and Synchronization Transitions in Elastoactive Structures
Self-Oscillation and Synchronization Transitions in Elastoactive Structures Open
The interplay between activity and elasticity often found in active and living systems triggers a plethora of autonomous behaviors ranging from self-assembly and collective motion to actuation. Among these, spontaneous self-oscillations of…
View article: The boson peak in the vibrational spectra of glasses
The boson peak in the vibrational spectra of glasses Open
A hallmark of glasses is an excess of low-frequency, nonphononic vibrations, in addition to phonons. It is associated with the intrinsically nonequilibrium and disordered nature of glasses, and is generically manifested as a THz peak -- th…
View article: Detecting low-energy quasilocalized excitations in computer glasses
Detecting low-energy quasilocalized excitations in computer glasses Open
Soft, quasilocalized excitations (QLEs) are known to generically emerge in a broad class of disordered solids, and to govern many facets of the physics of glasses, from wave attenuation to plastic instabilities. In view of this key role of…
View article: Variability of mesoscopic mechanical disorder in disordered solids
Variability of mesoscopic mechanical disorder in disordered solids Open
Quantifying mechanical disorder in solids, either disordered crystals or glassy solids, and understanding its range of variability are of prime importance, e.g. for discovering structure–properties relations. The bounds on the degree of me…
View article: Anomalous linear elasticity of disordered networks
Anomalous linear elasticity of disordered networks Open
Anomalous linear-elastic response calculated in a disordered spring network.
View article: Nonphononic spectrum of two-dimensional structural glasses
Nonphononic spectrum of two-dimensional structural glasses Open
The scaling form and system-size dependence of the low-frequency wing of the nonphononic vibrational spectrum of two-dimensional structural glasses have been debated in recent literature. Here we provide numerical evidence that the prefact…
View article: Boson-peak vibrational modes in glasses feature hybridized phononic and quasilocalized excitations
Boson-peak vibrational modes in glasses feature hybridized phononic and quasilocalized excitations Open
A hallmark of structural glasses and other disordered solids is the emergence of excess low-frequency vibrations, on top of the Debye spectrum $D_{\rm Debye}(ω)$ of phonons ($ω$ denotes the vibrational frequency), which exist in any solid …
View article: Anomalous linear elasticity of disordered networks
Anomalous linear elasticity of disordered networks Open
Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not fully understood. W…
View article: Disordered Crystals Reveal Soft Quasilocalized Glassy Excitations
Disordered Crystals Reveal Soft Quasilocalized Glassy Excitations Open
Structural glasses formed by quenching a melt are known to host a population of low-energy quasilocalized (nonphononic) excitations whose frequencies ω follow a universal ∼ω^{4} distribution as ω→0, independently of the glass formation his…
View article: Scaling theory of critical strain-stiffening in disordered elastic networks
Scaling theory of critical strain-stiffening in disordered elastic networks Open
Disordered elastic networks provide a framework for describing a wide variety of physical systems, ranging from amorphous solids, through polymeric fibrous materials to confluent cell tissues. In many cases, such networks feature two widel…
View article: Nonphononic spectrum of two-dimensional structural glasses
Nonphononic spectrum of two-dimensional structural glasses Open
The scaling form and system-size dependence of the low-frequency wing of the nonphononic vibrational spectrum of two-dimensional structural glasses have been debated in recent literature. Here we provide numerical evidence that the prefact…
View article: Ultrahigh Poisson's ratio glasses
Ultrahigh Poisson's ratio glasses Open
The manner in which metallic glasses fail under external loading is known to correlate well with those glasses' Poisson's ratio ν: Low-ν (compressible) glasses typically feature brittle failure patterns with scarce plastic deformation, whi…
View article: Data set for the article "Self-oscillation and Synchronisation Transitions in Elasto-Active Structures"
Data set for the article "Self-oscillation and Synchronisation Transitions in Elasto-Active Structures" Open
This is the data set for the article "Self-oscillation and Synchronisation Transitions in Elasto-Active Structures", https://doi.org/10.48550/arXiv.2106.05721 Is contains raw images and processed data from images used to describe the self-…
View article: Data set for the article "Self-oscillation and Synchronisation Transitions in Elasto-Active Structures"
Data set for the article "Self-oscillation and Synchronisation Transitions in Elasto-Active Structures" Open
This is the data set for the article "Self-oscillation and Synchronisation Transitions in Elasto-Active Structures", https://doi.org/10.48550/arXiv.2106.05721 Is contains raw images and processed data from images used to describe the self-…