Dynamics of dense hard sphere colloidal systems: A numerical analysis

Sibani, Paolo; Svaneborg, Carsten

doi:10.1103/physreve.99.042607

Cited by 6 publications

(23 citation statements)

References 37 publications

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“…This is consistent with the known characteristics of the supercooled state, below the glass transition, which was confirmed for e.g. polydisperse hard-sphere colloids 23 and micellar solutions 22 . Thus, the SCN-induced arrest apparently corresponds to the transition between the supercooled and the glassy state.…”

Section: The Mechanism Of Scn-induced Arrestsupporting

confidence: 90%

“…As the packing fraction of particles increases above the critical value for crystallization (0.494 for the mono-disperse hard spheres 1 ), the system enters the supercooled state in which its viscosity grows by 3–4 orders of magnitude 1,2,20–22 . Eventually, at a packing fraction of 0.58–0.62, the system becomes a glass, the relaxation times become virtually infinite and equilibration is no longer possible 23 . The exact critical value for this transition depends on the type of the system, but also on the experimental protocol 24,25 .…”

Section: Introductionmentioning

confidence: 99%

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Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics

Majka¹,

Góra²

2019

Sci Rep

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Spatially correlated noise (SCN), i.e. the thermal noise that affects neighbouring particles in a similar manner, is ubiquitous in soft matter systems. In this work, we apply the over-damped SCN-driven Langevin equations as an effective, one-component model of the dynamics in dense binary mixtures. We derive the thermodynamically consistent fluctuation-dissipation relation for SCN to show that it predicts the molecular arrest resembling the glass transition, i.e. the critical slow-down of dynamics in the disordered phases. We show that the mechanism of singular dissipation is embedded in the dissipation matrix, accompanying SCN. We are also able to identify the characteristic length of collective dissipation, which diverges at critical packing. This novel physical quantity conveniently describes the difference between the ergodic and non-ergodic dynamics. The model is fully analytically solvable, one-dimensional and admits arbitrary interactions between the particles. It qualitatively reproduces several different modes of arrested disorder encountered in binary mixtures, including e.g. the re-entrant arrest. The model can be effectively compared to the mode coupling theory.

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Section: The Mechanism Of Scn-induced Arrestsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics

Majka¹,

Góra²

2019

Sci Rep

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“…The present exposition gives an overview of recent numerical studies [51,91], to be consulted for technical details, where large 3D poly-disperse or 2D bi-disperse HSC undergo extensive MD simulations.…”

Section: Hard Sphere Colloidal Suspensionsmentioning

confidence: 99%

Record dynamics of evolving metastable systems: theory and applications

Sibani

Boettcher

2021

Eur. Phys. J. B

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Record Dynamics (RD) deals with complex systems evolving through a sequence of metastable stages. These are macroscopically distinguishable and appear stationary, except for the sudden and rapid changes, called quakes, which induce the transitions from one stage to the next. This phenomenology is well known in physics as “physical aging”, but from the vantage point of RD, the evolution of a class of systems of physical, biological, and cultural origin is rooted in a hierarchically structured configuration space and can, therefore, be analyzed by similar statistical tools. This colloquium paper strives to present in a coherent fashion methods and ideas that have gradually evolved over time. To this end, it first describes the differences and similarities between RD and two widespread paradigms of complex dynamics, Self-Organized Criticality and Continuous Time Random Walks. It then outlines the Poissonian nature of records events in white noise time-series, and connects it to the statistics of quakes in metastable hierarchical systems, arguing that the relaxation effects of quakes can generally be described by power laws unrelated to criticality. Several different applications of RD have been developed over the years. Some of these are described, showing the basic RD hypothesis and how the log-time homogeneity of quake dynamics, can be empirically verified in a given context. The discussion summarizes the paper and briefly mentions applications not discussed in detail. Finally, the outlook points to possible improvements and to new areas of research where RD could be of use. Graphic Abstract

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“…1, one needs to consider domains of reduced size. Reference [5] gives an example in which this situation arises. Alternatively, one can follow Ref.…”

Section: A Log-poisson Statisticsmentioning

confidence: 99%

“…The multiscale relaxation process called aging is observed in, e.g., spin-glasses [1][2][3], colloidal suspensions [4,5], vortices in superconductors [6], and evolving biological and cultural ecologies [7][8][9]. Important aspects of aging phenomenology have been elucidated by spin-glass linear response experiments [1][2][3], including thermoremanent magnetization (TRM) studies of memory and rejuvenation effects [1,[10][11][12], subaging, and end of aging behavior [13,14].…”

Section: Introductionmentioning

confidence: 99%

Record-dynamics description of spin-glass thermoremanent magnetization: A numerical and analytical study

Sibani

Kirketerp

2020

Phys. Rev. E

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Thermoremanent magnetization data for the three-dimensional Edwards-Anderson (EA) spin glass are generated using the waiting time method as a simulational tool and interpreted using record dynamics. We verify that clusters of contiguous spins are overturned by quakes, nonequilibrium events linked to record-sized energy fluctuations, and we show that quaking is a log-Poisson process, i.e., a Poisson process whose average depends on the logarithm of the system age, counted from the initial quench. Our findings compare favorably with experimental thermoremanent magnetization findings and with the spontaneous fluctuation dynamics of the EA model. The logarithmic growth of the size of overturned clusters is related to similar experimental results and to the growing length scale of the spin-spin spatial correlation function. The analysis buttresses the applicability of the waiting time method as a simulational tool, and of record dynamics as a coarse-graining method for aging dynamics.

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Dynamics of dense hard sphere colloidal systems: A numerical analysis

Cited by 6 publications

References 37 publications

Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics

Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics

Record dynamics of evolving metastable systems: theory and applications

Record-dynamics description of spin-glass thermoremanent magnetization: A numerical and analytical study

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