Precursors of the spin glass transition in three dimensions

Baity‐Jesi, Marco; Martı́n-Mayor, V.

doi:10.1088/1742-5468/ab333c

Cited by 11 publications

(14 citation statements)

References 77 publications

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“…Remarkably, this temperature is higher than the estimated "mode-coupling temperature" T MCT , where mode-coupling theory would predict structural arrest. Similar effects are typical in finite-dimensional disordered systems and are also observed, e.g., in 3D Heisenberg spin glasses [33]. Here, simulated annealing is effective: In order to minimize the energy, equilibrating at lower and lower temperatures is a better strategy than a sudden quench from a high-energy state.…”

Section: Setting the Stagementioning

confidence: 52%

Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed p -Spin Model

2020

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The spherical p-spin model is a fundamental model in statistical mechanics of a disordered system with a random first-order transition. The dynamics of this model is interesting both for the physics of glasses and for its implications on hard optimization problems. Here, we revisit the out-of-equilibrium dynamics of the spherical mixed p-spin model, which differs from the pure p-spin model by the fact that the Hamiltonian is not a homogeneous function of its variables. We consider quenches (gradient descent dynamics) starting from initial conditions thermalized in the high-temperature ergodic phase. Unexpectedly, we find that, differently from the pure p-spin case, the asymptotic states of the dynamics keep memory of the initial condition. The final energy is a decreasing function of the initial temperature, and the system remains correlated with the initial state. This dependence disproves the idea of a unique "threshold" energy level attracting dynamics starting from high-temperature initial conditions. Thermalization, which could be achieved, e.g., by an algorithm like simulated annealing, provides an advantage in gradient descent dynamics and, last but not least, brings mean-field models closer to real glass phenomenology, where such a dependence is observed in numerical simulations. We investigate the nature of the asymptotic dynamics, finding an aging state that relaxes towards deep, marginally stable minima. However, careful analysis rules out simple generalizations of the aging solution of the pure model. We compute the constrained complexity with the aim of connecting the asymptotic solution to the energy landscape.

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Section: Setting the Stagementioning

confidence: 52%

Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed p -Spin Model

2020

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“…We set a = 0.3, as it is a common choice used in literature[36] 4. A similar phenomenology that has enabled the identification of the onset temperature via the overlap has recently been observed in diverse systems, ranging from the mixed p-spin model[37] to the 3D Heisenberg spin glass[38].…”

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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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“…a so-called ideal glass. Recently, considerable progress has been made in approaching this putative state [17], and drops in configurational entropy determined from order-agnostic measures of structure have been obtained in experiments on colloids [18,19,20,21] computer simulation of structural glasses [22,12], and even some spin glasses [23]. On the other hand, building on the idea that five-fold symmetric locally favoured structures are "abhorrent to crystallisation", as they cannot tile 3D space [24], geometric frustration relates the slowdown in dynamics in Euclidean space to a presumed transition to a state of icosahedra in some non-frustrated space [15].…”

Section: Introductionmentioning

confidence: 99%

The devil is in the details: pentagonal bipyramids and dynamic arrest

Hallett¹,

Turci²,

Royall³

2020

J. Stat. Mech.

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Colloidal suspensions have long been studied as a model for atomic and molecular systems, due to the ability to fluorescently label and individually track each particle, yielding particle-resolved structural information. This allows various local order parameters to be probed that are otherwise inaccessible for a comparable molecular system. For phase transitions such as crystallisation, appropriate order parameters which emphasise 6-fold symmetry are a natural choice, but for vitrification the choice of order parameter is less clear cut. Previous work has highlighted the importance of icosahedral local structure as the glass transition is approached. However, counting icosahedra or related motifs is not a continuous order parameter in the same way as, for example, the bond-orientational order parameters Q 6 and W 6 . In this work we investigate the suitability of using pentagonal bipyramid membership, a structure which can be assembled into larger, five-fold symmetric structures, as a finer order parameter to investigate the glass transition. We explore various structural and dynamic properties and show that this new approach produces many of the same findings as simple icosahedral membership, but we also find that large instantaneous displacements are often correlated with significant changes in pentagonal bipyramid membership, and unlike the population of defective icosahedra, the pentagonal bypyramid membership and spindle number do not saturate for any measured volume fraction, but continues to increase. arXiv:1911.00802v1 [cond-mat.soft]

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Precursors of the spin glass transition in three dimensions

Cited by 11 publications

References 77 publications

Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed p -Spin Model

Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed p -Spin Model

Revisiting the concept of activation in supercooled liquids

The devil is in the details: pentagonal bipyramids and dynamic arrest

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