Effective traplike activated dynamics in a continuous landscape

Carbone, Matthew R.; Astuti, Valerio; Baity‐Jesi, Marco

doi:10.1103/physreve.101.052304

Cited by 10 publications

(17 citation statements)

References 37 publications

(85 reference statements)

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“…The SM is a simple toy model with a single energy minimum, where the exponentially slow dynamics are purely driven by the scarcity of low energy configurations [ 41 ]. We also remark that in some temperature regimes entropy-driven activation can indeed resemble energy-driven activation [ 42 , 59 – 61 ] and can be translated into a competition between energy and high dimensionality [ 61 , 62 ], whereby an aging system progressively passes from entropy- to energy-driven dynamics [ 62 ].…”

Section: Discussionmentioning

confidence: 99%

Revisiting the concept of activation in supercooled liquids

Baity‐Jesi

Biroli²,

Reichman

2021

Eur. Phys. J. E

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In this work, we revisit the description of dynamics based on the concepts of metabasins and activation in mildly supercooled liquids via the analysis of the dynamics of a paradigmatic glass former between its onset temperature $$T_{\mathrm{o}}$$ T o and mode-coupling temperature $$T_{\mathrm{c}}$$ T c . First, we provide measures that demonstrate that the onset of glassiness is indeed connected to the landscape, and that metabasin waiting time distributions are so broad that the system can remain stuck in a metabasin for times that exceed $$\tau _{\alpha }$$ τ α by orders of magnitude. We then reanalyze the transitions between metabasins, providing several indications that the standard picture of activated dynamics in terms of traps does not hold in this regime. Instead, we propose that here activation is principally driven by entropic instead of energetic barriers. In particular, we illustrate that activation is not controlled by the hopping of high energetic barriers and should more properly be interpreted as the entropic selection of nearly barrierless but rare pathways connecting metabasins on the landscape.

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Section: Discussionmentioning

confidence: 99%

Revisiting the concept of activation in supercooled liquids

Baity‐Jesi

Biroli²,

Reichman

2021

Eur. Phys. J. E

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show abstract

“…The SM is a simple toy model with a single energy minimum, where the exponentially slow dynamics are purely driven by the scarcity of low energy configurations [39]. We also remark that in some temperature regimes entropy-driven activation can indeed resemble energy-driven activation [40,[56][57][58], and can be translated into a competition between energy and high dimensionality [58,59], whereby an aging system progressively passes from entropy-to energy-driven dy-namics [59].…”

Section: Discussionmentioning

confidence: 75%

Revisiting the Concept of Activation in Supercooled Liquids

Baity-Jesi,

Biroli,

Reichman

2021

Preprint

Self Cite

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In this work we revisit the description of dynamics based on the concepts of metabasins and activation in mildly supercooled liquids via the analysis of the dynamics of a paradigmatic glass former between its onset temperature To and mode-coupling temperature Tc. First, we provide measures that demonstrate that the onset of glassiness is indeed connected to the landscape, and that metabasin waiting time distributions are so broad that the system can remain stuck in a metabasin for times that exceed τα by orders of magnitude. We then reanalyze the transitions between metabasins, providing several indications that the standard picture of activated dynamics in terms of traps does not hold in this regime. Instead, we propose that here activation is principally driven by entropic instead of energetic barriers. In particular, we illustrate that activation is not controlled by the hopping of high energetic barriers, and should more properly be interpreted as the entropic selection of nearly barrierless but rare pathways connecting metabasins on the landscape.

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“…Im G ii (7) where Im indicates the imaginary part. From the expression (7) one can also read the DOS as the average of the local Density of States (local DOS) defined at node i as…”

Section: Sparse Barrat-m éZard Trap Modelmentioning

confidence: 99%

“…These models exhibit the essential properties of glassy materials, which are: a glass transition temperature below which the system falls out of equilibrium, a slow (compared to an exponential) decay of the energy with time, and aging [3]. Currently, there is a wide spectrum of models that can be considered traplike, ranging from mean-field to sparse (in terms of connectivity), from discrete to continuous (in terms of the configuration space) and with additional features such as correlation between trap depths and node degrees or the inclusion of dynamical facilitation [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Localization properties of the sparse Barrat-Mézard trap model

Tapias,

Sollich

2022

Preprint

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Inspired by works on the Anderson model on sparse graphs, we devise a method to analyze the localization properties of sparse systems that may be solved using cavity theory. We apply this method to study the properties of the eigenvectors of the master operator of the sparse Barrat-Mézard trap model, with an emphasis on the extended phase. As probes for localization, we consider the inverse participation ratio and the correlation volume, both dependent on the distribution of the diagonal elements of the resolvent. Our results reveal a rich and non-trivial behavior of the estimators across the spectrum of relaxation rates and an interplay between entropic and activation mechanisms of relaxation that give rise to localized modes embedded in the bulk of extended states. We characterize this route to localization and find it to be distinct from the paradigmatic Anderson model or standard random matrix systems.

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Effective traplike activated dynamics in a continuous landscape

Cited by 10 publications

References 37 publications

Revisiting the concept of activation in supercooled liquids

Revisiting the concept of activation in supercooled liquids

Revisiting the Concept of Activation in Supercooled Liquids

Localization properties of the sparse Barrat-Mézard trap model

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