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Dynamical arrest in low density dipolar colloidal gels
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View: Figures


Image of FIG. 1.
FIG. 1.

Potential energy in units of of two dipolar dumbbells with center-to-center separation in various orientations with respect to each other and to the center-to-center vector .

Image of FIG. 2.
FIG. 2.

Interaction energy per particle of two parallel idealized chains of 20 head-to-tail dipoles, shifted with respect to each other by along their axes, as a function of the separation of the chain axes. The four curves correspond to different dumbbell extensions, . Each curve has been scaled in length by the equilibrium pair separation and in energy by the minimum pair energy [see Eq. (2)] for the relevant value of . The thick line corresponds to the adopted in the present work.

Image of FIG. 3.
FIG. 3.

Snapshot configurations at and temperatures of (a) , above the percolation threshold, and (b) (just below the percolation threshold). Particles belonging to a given cluster in the periodic system are shown in the same color.

Image of FIG. 4.
FIG. 4.

Percolation probability (fraction of percolating configurations) along the isochore . The inset shows the probability as a simple function of for three linear system sizes . The main plot shows the same data as a function of the shifted and scaled density (see text).

Image of FIG. 5.
FIG. 5.

Radial distribution function and coordination number distribution (inset) at packing fraction . The lines in the inset are a guide to the eye.

Image of FIG. 6.
FIG. 6.

Static structure factor at packing fraction . The inset shows the same data on a semi-log plot.

Image of FIG. 7.
FIG. 7.

Convergence of the dielectric permittivity with the progress of simulations at packing fraction and the reduced temperatures indicated.

Image of FIG. 8.
FIG. 8.

Profile of the normalized EC as a function of length scale at packing fractions (a) and (b) at the temperatures indicated in (a).

Image of FIG. 9.
FIG. 9.

Distribution of void sizes at measured by the probability of the maximum diameter of a sphere that can be inserted at a random point in space without overlapping with a particle.

Image of FIG. 10.
FIG. 10.

Arrhenius plots of the self-diffusion constant and the rate constant for bond breaking at packing fraction . The lines joining the symbols are a guide to the eye.

Image of FIG. 11.
FIG. 11.

MSD of particles at packing fraction .

Image of FIG. 12.
FIG. 12.

Velocity autocorrelation function as a function of reduced time and its Fourier transform as a function of reduced frequency at packing fraction .

Image of FIG. 13.
FIG. 13.

Self-part of the intermediate scattering function, . (a) Packing fraction and wavenumber at selected temperatures as marked. Inset: expanded plot of the curve. (b) Wavenumber , temperature , and three packing fractions, as marked.

Image of FIG. 14.
FIG. 14.

Non-Gaussian parameter of the self-part of the van Hove correlation function at packing fraction .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dynamical arrest in low density dipolar colloidal gels