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Surface and finite size effect on fluctuations dynamics in nanoparticles with long-range order
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Image of FIG. 1.
FIG. 1.

Sketch of the particle with the fluctuating one-component order parameter (shown by the arrows of different length).

Image of FIG. 2.
FIG. 2.

Size dependence of relaxation times (, 2, 3, and 4) in nanospheres (a) and nanorods (c). The average fluctuation is compared with the average order parameter in nanospheres (b) and nanorods (d). Material parameters: , , , correspond to the ferroelectric material , room temperature . Aspect ratio , screening factor , the surface energy coefficient values: and (see labels near the solid and dashed curves).

Image of FIG. 3.
FIG. 3.

(a) Size dependence of the correlation radii in nanospheres (, 2, 3, and 4). The bulk value is marked by dotted lines. (b) Frequency spectra of the real and imaginary parts of dynamic susceptibility for the nanosphere of radius and different surface energy coefficients , 1, . [(c) and (d)] Spatial spectra of the scattering structural factor (in relative units) for nanospheres of different radii , 6, 10, and 40 nm and surface energy coefficients (c); , 25, 30, and 40 nm and (d). Other parameters are the same as in Fig. 2.


Generic image for table
Table I.

Observable quantities related with correlation effects in particles and bulk materials.

Generic image for table
Table II.

Correlation function details for spherical and cylindrical particles.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Surface and finite size effect on fluctuations dynamics in nanoparticles with long-range order