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Thermodynamic scaling of dynamic properties of liquid crystals: Verifying the scaling parameters using a molecular model
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10.1063/1.4818418
/content/aip/journal/jcp/139/8/10.1063/1.4818418
http://aip.metastore.ingenta.com/content/aip/journal/jcp/139/8/10.1063/1.4818418

Figures

Image of FIG. 1.
FIG. 1.

Nematic–isotropic transition temperature as a function of pressure for the Gay–Berne system and real nematics. The closed symbols are for the Gay–Berne model mesogenic system and the open symbols are for the real nematics. The open circles, triangles, squares, and inverted triangles are for 5-pentyl-4-cyanobiphenyl (5CB), 4-methoxybenzylidine-4-butylaniline (MBBA), 4-ethoxybenzylidine-4-butylaniline (EBBA), and 4,4-dimethoxyazoxybenzene (PAA), respectively.

Image of FIG. 2.
FIG. 2.

Log() versus log() for the Gay–Berne model system. From the right, the values for the lines are 0.60, 0.65, 0.70, 0.75, and 0.80.

Image of FIG. 3.
FIG. 3.

(a) Arrhenius plot for the relaxation time of flip–flop motion, and (b) thermodynamic scaling by 1/ with a best fit value = 8.0 for the Gay–Berne system. From the right in (a), pressure values for the lines are 3.0, 4.0, 5.0, 6.0, 7.0, 9.0, 13.0, and 20.0.

Image of FIG. 4.
FIG. 4.

(a) variation as a function of 1/ with a best fit value = 8.0 and (b) the logarithm of the relaxation time for molecular flip–flop motion as a function of for the Gay–Berne system.

Image of FIG. 5.
FIG. 5.

(a) Arrhenius plot for the rotational diffusion constant and (b) the activation enthalpy as a function of pressure for the Gay–Berne system. From the right in (a), the values for the lines are 3.0, 4.0, 5.0, 6.0, 7.0, 9.0, 13.0, and 20.0.

Image of FIG. 6.
FIG. 6.

Thermodynamic scaling of the inverse of the rotational diffusion constant by 1/ with a best fit value = 8.0 for the Gay–Berne system.

Image of FIG. 7.
FIG. 7.

Logarithm of the inverse of the rotational diffusion constant as a function of (a) and (b) (1 + 2 )/(2 − 2 ) for the Gay–Berne system.

Image of FIG. 8.
FIG. 8.

Leslie rotational viscosity coefficients (a) and (b) as a function of for the Gay–Berne system. From the left, the values for the lines are 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, and 20.0.

Image of FIG. 9.
FIG. 9.

Logarithm of the Leslie rotational viscosity coefficients divided by (a) the order parameter squared, / , and (b) the order parameter, − / , as a function of 1/ for the Gay–Berne system. From the right, the values for the lines are 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, and 20.0.

Image of FIG. 10.
FIG. 10.

Logarithm of the Leslie rotational viscosity coefficients multiplied by / (i.e., / and − / in (a) and (b), respectively) as a function of 1/ with a best fit value = 8.0 and (in (c) and (d), respectively) as a function of the orientational ordering parameter A for the Gay–Berne system. Parameter A is (1 + 2 )/(2 − 2 )(35/(14 + 5 + 16 )) for and (1 + 2 )/(2 − 2 ) for . and are the second- and fourth-rank orientational order parameters, respectively, and is a parameter for the molecular shape anisotropy described in the text.

Image of FIG. 11.
FIG. 11.

Logarithm of the Leslie rotational viscosity coefficients multiplied by /, i.e., (a) / and (b) − / as a function of for the Gay–Berne system.

Tables

Generic image for table
Table I.

Thermodynamic parameter Γ for the Gay–Berne system.

Generic image for table
Table II.

Comparison of the thermodynamic parameter Γ and the scaling parameters for the relaxation time , the rotational diffusion constant , and the Leslie viscosity coefficients , , for the Gay–Berne system.

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/content/aip/journal/jcp/139/8/10.1063/1.4818418
2013-08-23
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Thermodynamic scaling of dynamic properties of liquid crystals: Verifying the scaling parameters using a molecular model
http://aip.metastore.ingenta.com/content/aip/journal/jcp/139/8/10.1063/1.4818418
10.1063/1.4818418
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