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Nanoparticles in nematic liquid crystals: Interactions with nanochannels
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10.1063/1.2770724
/content/aip/journal/jcp/127/12/10.1063/1.2770724
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/12/10.1063/1.2770724
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Scheme of the different nanochannel geometries considered in this work: (a) rectangular, (b) rectangular with two straight cuts, (c) rectangular with four straight cuts, (d) cylindrical, (e) cylindrical with two straight cuts, and (f) rectangular nanochannel for a system of three nanoparticles. For all cases, the model systems consist of a wall and a nanochannel, “sandwiching” one or several spherical nanoparticles immersed in a nematic liquid crystal (NLC). All the dimensions are in nanometers. The total length of the system in the direction is for (a)–(e) and for (f).

Image of FIG. 2.
FIG. 2.

(Color online) Potential of mean force (PMF) as a function of the minimum distance between one nanoparticle and the bottom of a rectangular nanochannel for different colloid diameters: (a) total PMF, (b) Landau–de Gennes contribution to the total PMF, and (c) elastic contribution to the total PMF.

Image of FIG. 3.
FIG. 3.

(Color online) 3D visualizations of the NLC defect structures (represented as the contour in red) and 2D contour maps of the scalar order parameter , superimposed with the director field in the plane, for one nanoparticle with (a)–(c) and (d)–(f), at different values of : (a) (far apart from both the top wall and the nanochannel), (b) [the maximum in the LdG PMF, Fig. 2(b)], (c) [the minimum in the total and elastic PMF, Figs. 2(a) and 2(c)], (d) (far apart from both the top wall and the nanochannel), (e) [the maximum in the LdG PMF, Fig. 2(b)], and (f) [the minimum in the total and elastic PMF, Figs. 2(a) and 2(c)]. For all cases, the particle is equidistant from the sidewalls of the channel.

Image of FIG. 4.
FIG. 4.

(Color online) 3D visualizations of the NLC defect structures (represented as the contour in red, top) and 2D contour maps of the scalar order parameter , superimposed with the director field in the plane (bottom), for one nanoparticle with at (a) (far apart from both the top wall and the nanochannel), (b) [the maximum in the LdG PMF, Fig. 2(b)], (c) [the first minimum in the total and elastic PMF, Figs. 2(a) and 2(c)], (d) [the minimum in the LdG PMF, Fig. 2(b)], and (e) [the second minimum in the total and elastic PMF, Figs. 2(a) and 2(c)]. The particle is closer to one of the sidewalls of the channel. (see text)

Image of FIG. 5.
FIG. 5.

(Color online) Potential of mean force (PMF) as a function of the minimum distance between one nanoparticle and the bottom of a nanochannel for different channel geometries and two colloid diameters, and : (a) total PMF, (b) Landau–de Gennes contribution to the total PMF, and (c) elastic contribution to the total PMF.

Image of FIG. 6.
FIG. 6.

(Color online) 2D contour maps of the scalar order parameter , superimposed with the director field in the plane, when a nanoparticle of is close to the top wall (left), and when the particle is inside the nanochannel (at the minima of the total PMF, center). For the latter situation, 3D visualizations of the NLC defect structures are also depicted (represented as the contour in red, right). Different nanochannel geometries are represented as follows: (a) rectangular, (b) rectangular with two cuts, (c) rectangular with four cuts, (d) cylindrical, and (e) cylindrical with two cuts. The particle is always equidistant from the sidewalls of the channel.

Image of FIG. 7.
FIG. 7.

(Color online) 2D contour maps of the scalar order parameter , superimposed with the director field in the plane, when a nanoparticle of is close to the top wall (left), and when the particle is inside the nanochannel (at the minima of the total PMF, center). For the latter situation, 3D visualizations of the NLC defect structures are also depicted (represented as the contour in red, right). Different nanochannel geometries are represented as follows: (a) rectangular, (b) rectangular with two cuts, (c) rectangular with four cuts, (d) cylindrical, and (e) cylindrical with two cuts. The particle is always equidistant from the sidewalls of the channel.

Image of FIG. 8.
FIG. 8.

(Color online) 3D visualizations of the NLC defect structures (represented as the contour in red) for different arrays of three nanoparticles with in a NLC “sandwiched” between a wall and a rectangular nanochannel: (a) nanoparticles are far apart from the nanochannel, the top wall, and each other (minimum interparticle distance ); (b) nanoparticles are close together forming a triangular array , and far apart from the nanochannel and the top wall; (c) nanoparticles are inside the nanochannel but far apart from each other ; and (d) nanoparticles are inside the nanochannel and close together , forming a linear array.

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/content/aip/journal/jcp/127/12/10.1063/1.2770724
2007-09-26
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nanoparticles in nematic liquid crystals: Interactions with nanochannels
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/12/10.1063/1.2770724
10.1063/1.2770724
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