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Polarization of glass containing fast and slow ions
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10.1063/1.4742975
/content/aip/journal/jap/112/4/10.1063/1.4742975
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/4/10.1063/1.4742975

Figures

Image of FIG. 1.
FIG. 1.

(a) Frontiers of carriers 1 and carriers 2 concentration calculated numerically from system (2) (solid line) and analytically from simplified system (5) (dashed line). Parameters used in the calculations are presented in Table I.The discrepancy of analytical and numerical result after 4000 s is due to diffusional smearing of the carrier profiles. Insets: concentration profiles at different times specified with dashed arrows. Regions 1, 2, and 3 are depicted as R1, R2, and R3, respectively. (b) Maximal concentration of carriers 2 in region 2. Analytical solution (dashed line) demonstrates monotonic increase of concentration up to 0.5. The decrease of maximal concentration obtained from the numerical model indicates diffusional smearing of the concentration.

Image of FIG. 2.
FIG. 2.

Frontiers of carriers 1 and carriers 2 concentration calculated numerically from system (2) (solid line) and analytically from simplified system (5) (dashed line). Parameters of the calculations are presented in Table I, and carriers 1 mobility is fixed. The mobility of carriers 2 is chosen to provide and while other parameters are fixed. For , diffusional smearing leads to the reversal motion of carriers 1 frontier back to the frontier of carriers 2. For , reversal motion also takes place but occurrs essentially later.

Image of FIG. 3.
FIG. 3.

Frontiers of carriers 1, carriers 2, and carriers 3 concentrations calculated numerically from system (6). Parameters of the calculation are presented in Table I, and carriers 1 mobility is fixed. The mobilities of carriers 2 and 3 are and , respectively. Insets: concentration profiles at different time specified with dashed arrows. Regions 1-4 are depicted as R1-R4.

Image of FIG. 4.
FIG. 4.

Frontiers of carriers 1, 2, and 3 concentrations calculated from system (6). Parameters of the calculation are presented in Table I, and carrier 1 mobility is fixed. The mobilities of carriers 2 and 3 are and , respectively. Insets: concentration profiles at different time specified with dashed arrows. Regions 1-4 are depicted as R1-R4.

Image of FIG. 5.
FIG. 5.

(a) Distribution of hydrogen, sodium, and calcium concentrations in subsurface layer of poled soda-lime glass treated under open anode conditions at 150 °C for 540 s under 1.7 kV applied to 1.2 mm thick plate from the paper.3 (b) Results of modeling the concentration profiles formed in soda-lime glass, parameters from Table II are used. Publication permission for the Fig. 5(a) is obtained (license number 2861471223907).

Image of FIG. 6.
FIG. 6.

(a) Division into regions (R1-R3) and carriers concentration in each region. We assume that the concentration in the R2 region is constant and depends on time only in the first approximation. The region R1 is neutral as . Uncompensated spatial charge is localized in the regions R2 and R3. (b) Field distribution profile assumed in the model in the first approximation. Discontiniuty of electric field at boundary corresponds to possible charge accumulation.

Tables

Generic image for table
Table I.

Parameters used in numerical calculations.

Generic image for table
Table II.

Data used in modeling concentration profiles obtained in the experiments3 on poling of soda-lime glass.

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/content/aip/journal/jap/112/4/10.1063/1.4742975
2012-08-16
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Polarization of glass containing fast and slow ions
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/4/10.1063/1.4742975
10.1063/1.4742975
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