Light beats as an example of hertzian coherence effects

Barrat, J.P.

doi:10.1088/0031-8949/1997/t70/011

Cited by 5 publications

(13 citation statements)

References 31 publications

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“…(The deviation of data of N = 2048 (diamonds) from the common curve at larger t is considered due to a poor estimate of E eq .) Similar slow dynamics in E(t)/N has been reported in other model systems [21,27].…”

Section: Energy and Parisi's Overlap Distributionsupporting

confidence: 86%

Model Experiments on Underground Imaging from a Bored Hole by Ultrasound

Inoue¹,

Yoshida²,

Hayashi³

2000

Jpn. J. Appl. Phys.

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Monte Carlo simulations on the SK model have been done to investigate aging processes after a rapid quench from T = ∞ to the spin-glass phase. Taking care of time ranges of simulation, we examine time evolutions of energy of the system, Parisi's overlap distribution function, auto-correlation and clones-correlation functions, distribution functions of the two correlations, and magnetization induced by the field applied after a certain waiting time. The data simulated exhibit a rich variety of aging phenomena. Most of them can be interpreted in a unified way, though qualitatively, by the scenario of growth of quasi-equilibrium domains which we have recently introduced. The results are consistent qualitatively with asymptotic behaviours of some of the basic assumptions and their results in recent analytical theory on the same SK model, so long as the limiting procedures in finite systems are taken properly. Also they suggest that a basin of attraction of one dominant pure state spans almost an entire phase space of the system with a common time-reversal symmetry. †

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Section: Energy and Parisi's Overlap Distributionsupporting

confidence: 86%

Model Experiments on Underground Imaging from a Bored Hole by Ultrasound

Inoue¹,

Yoshida²,

Hayashi³

2000

Jpn. J. Appl. Phys.

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“…Note that in the case of both the mean-field, p-spin model and a liquid in the hypernetted chain approximation [38][39][40][41], the time dependence of χ 4 (t) was calculated numerically from an analytic expression in [1]. Those calculations provide the first analytical prediction of the growth of a generalized dynamical susceptibility and, by inference, a corresponding dynamical correlation length ξ 4 (t) in a model glass-forming system.…”

Section: Introductionmentioning

confidence: 99%

Approach to the glass transition studied by higher order correlation functions

Lacevic

Glotzer

2003

J. Phys.: Condens. Matter

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We present a theoretical framework based on a higher order density correlation function, analogous to that used to investigate spin glasses, to describe dynamical heterogeneities in simulated glass-forming liquids. These higher order correlation functions are a four-point, time-dependent density correlation function g 4 (r, t) and a corresponding 'structure factor' S 4 (q, t) which measure the spatial correlations between the local liquid density at two points in space, each at two different times. g 4 (r, t) and S 4 (q, t) were extensively studied via molecular dynamics simulations of a binary Lennard-Jones mixture approaching the mode coupling temperature from above in Franz et al (1999

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“…Next, Capone et al [14] studied the Schwinger-Dyson equations for equilibrium initial conditions (also imposed with a replica calculation) in more detail than done in Ref. [10]. On the one hand, they confirmed the results of Barrat et al [11] with usual restrained equilibrium state following above T RSB (T ) and ageing below this temperature taking place in a marginal manifold (supposedly the one in which the initial state opens up) that lies below the threshold one approached with quenches from T → +∞.…”

Section: B Backgroundmentioning

confidence: 99%

“…( 27) in Ref. [10] setting the last term to zero and making the necessary changes of names of variables, p = q 0 and q 1 = q.) Using Eqs.…”

Section: Temperature Chaosmentioning

confidence: 99%

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A constrained TAP approach for disordered spin models: application to the mixed spherical case

Barbier,

Cugliandolo

2019

Preprint

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We revisit the metastability properties of the mixed p-spin spherical disordered models. Firstly, using known methods, we show that there is temperature chaos in a broad range of temperatures. Secondly, we modify the definition of the Thouless-Anderson-Palmer free energy density by including constraints that enforce a chosen overlap between the searched metastable states and another reference state, that could be a characteristic one of a different temperature. We argue that this refined analysis provides clues to understand the weird behaviour of the low temperature relaxation dynamics of these models, and suggests ways to improve the treatment of the initial conditions to overcome the difficulties encountered so far.

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Light beats as an example of hertzian coherence effects

Cited by 5 publications

References 31 publications

Model Experiments on Underground Imaging from a Bored Hole by Ultrasound

Model Experiments on Underground Imaging from a Bored Hole by Ultrasound

Approach to the glass transition studied by higher order correlation functions

A constrained TAP approach for disordered spin models: application to the mixed spherical case

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