Mapping the glassy dynamics of soft spheres onto hard-sphere behavior

Schmiedeberg, Michael; Haxton, Thomas K.; Nagel, Sidney R.; Liu, Andrea J.

doi:10.1209/0295-5075/96/36010

Cited by 57 publications

(81 citation statements)

References 35 publications

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“…As we and others [16,52] have noted, active tissues display glassy dynamics: the motion of individual cells is constrained because they are surrounded by tightly packed neighbouring cells that impede their progress. It has been shown that the dynamics in non-biological glassy or jammed materials display universality: dynamical features do not depend on the details of the interactions [53,54]. Our work suggests that models with only a few parameters could be adequate for describing active tissues near this glass transition.…”

Section: Discussionmentioning

confidence: 67%

Glassy dynamics in three-dimensional embryonic tissues

Schötz

Lanio

Talbot

et al. 2013

J. R. Soc. Interface.

133

137

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Many biological tissues are viscoelastic, behaving as elastic solids on short timescales and fluids on long timescales. This collective mechanical behaviour enables and helps to guide pattern formation and tissue layering. Here, we investigate the mechanical properties of three-dimensional tissue explants from zebrafish embryos by analysing individual cell tracks and macroscopic mechanical response. We find that the cell dynamics inside the tissue exhibit features of supercooled fluids, including subdiffusive trajectories and signatures of caging behaviour. We develop a minimal, three-parameter mechanical model for these dynamics, which we calibrate using only information about cell tracks. This model generates predictions about the macroscopic bulk response of the tissue (with no fit parameters) that are verified experimentally, providing a strong validation of the model. The best-fit model parameters indicate that although the tissue is fluid-like, it is close to a glass transition, suggesting that small changes to single-cell parameters could generate a significant change in the viscoelastic properties of the tissue. These results provide a robust framework for quantifying and modelling mechanically driven pattern formation in tissues.

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Section: Discussionmentioning

confidence: 67%

Glassy dynamics in three-dimensional embryonic tissues

Schötz

Lanio

Talbot

et al. 2013

J. R. Soc. Interface.

133

137

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“…• Different IPL systems' close similarities with respect to structure and dynamics, similarities that extend to all other Roskilde-simple liquids [47][48][49][50][51][52][53][54][55][56][57][58][59][60].…”

Section: A Quasiuniversality Of Simple Systemsmentioning

confidence: 99%

Isomorphs, hidden scale invariance, and quasiuniversality

Dyre

2013

Phys. Rev. E

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This paper first establishes an approximate scaling property of the potential-energy function of a classical liquid with good isomorphs (a Roskilde-simple liquid). This "pseudohomogeneous" property makes explicit that -and in which sense -such a system has a hidden scale invariance. The second part gives a potential-energy formulation of the quasiuniversality of monatomic Roskilde-simple liquids, which was recently rationalized in terms of the existence of a quasiuniversal single-parameter family of reduced-coordinate constant-potential-energy hypersurfaces [J. C. Dyre, Phys. Rev. E 87, 022106 (2013)]. The new formulation involves a quasiuniversal reduced-coordinate potential-energy function. A few consequences of this are discussed.

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“…This temperature depends on pressure, and decreases with increasing pσ 3 / . However, recent results indicate that the relaxation time of soft spheres can be mapped onto the relaxation time for hard spheres by approximating the soft sphere potential by a hard-sphere potential with a smaller effective diameter [15]. In particular, any approach to the jammed surface, such as the dashed black arrows of Fig.…”

Section: Dimensionless Formulation Of Jamming Phase Diagrammentioning

confidence: 99%

Universal jamming phase diagram in the hard-sphere limit

2011

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We present a new formulation of the jamming phase diagram for a class of glass-forming fluids consisting of spheres interacting via finite-ranged repulsions at temperature T , packing fraction φ or pressure p, and applied shear stress Σ. We argue that the natural choice of axes for the phase diagram are the dimensionless quantities T /pσ 3 , pσ 3 / , and Σ/p, where T is the temperature, p is the pressure, Σ is the stress, σ is the sphere diameter, is the interaction energy scale, and m is the sphere mass. We demonstrate that the phase diagram is universal at low pσ 3 / ; at low pressure, observables such as the relaxation time are insensitive to details of the interaction potential and collapse onto the values for hard spheres, provided the observables are non-dimensionalized by the pressure. We determine the shape of the jamming surface in the jamming phase diagram, organize previous results in relation to the jamming phase diagram, and discuss the significance of various limits.

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Mapping the glassy dynamics of soft spheres onto hard-sphere behavior

Cited by 57 publications

References 35 publications

Glassy dynamics in three-dimensional embryonic tissues

Glassy dynamics in three-dimensional embryonic tissues

Isomorphs, hidden scale invariance, and quasiuniversality

Universal jamming phase diagram in the hard-sphere limit

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