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Journal articles on the topic 'Double layer potential'

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Published: 4 June 2021

Last updated: 28 January 2023

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1

Arai, Masahiro, Tadaharu Adachi, and Hiroyuki Matsumoto. "Formulation of Double-Layer Potential Method." Transactions of the Japan Society of Mechanical Engineers Series A 61, no. 585 (1995): 993–1000. http://dx.doi.org/10.1299/kikaia.61.993.

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2

Leung, Philip. "A laboratory investigation of potential double layers." Laser and Particle Beams 5, no. 2 (May 1987): 339–49. http://dx.doi.org/10.1017/s0263034600002810.

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In a triple plasma device, the injection of electron current from the source chamber to the target chamber causes the formation of a potential double layer. At a low current density, the space charge of the injected current produces a virtual cathode-type potential double layer. This double layer is stable and various wave instabilities are observed to associate with this double layer. As the current density is increased, the double layer becomes unstable and a moving double layer results. As the current density is increased further, the enhanced ionization causes the neutralization of the space charge of the electron beam and the ‘beam plasma discharge’ is ignited.

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3

Gunell, H., J. De Keyser, E. Gamby, and I. Mann. "Vlasov simulations of parallel potential drops." Annales Geophysicae 31, no. 7 (July 18, 2013): 1227–40. http://dx.doi.org/10.5194/angeo-31-1227-2013.

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Abstract. An auroral flux tube is modelled from the magnetospheric equator to the ionosphere using Vlasov simulations. Starting from an initial state, the evolution of the plasma on the flux tube is followed in time. It is found that when applying a voltage between the ends of the flux tube, about two thirds of the potential drop is concentrated in a thin double layer at approximately one Earth radius altitude. The remaining part is situated in an extended region 1–2 Earth radii above the double layer. Waves on the ion timescale develop above the double layer, and they move toward higher altitude at approximately the ion acoustic speed. These waves are seen both in the electric field and as perturbations of the ion and electron distributions, indicative of an instability. Electrons of magnetospheric origin become trapped between the magnetic mirror and the double layer during its formation. At low altitude, waves on electron timescales appear and are seen to be non-uniformly distributed in space. The temporal evolution of the potential profile and the total voltage affect the double layer altitude, which decreases with an increasing field aligned potential drop. A current–voltage relationship is found by running several simulations with different voltages over the system, and it agrees with the Knight relation reasonably well.

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4

Krutitskii, P. A., and I. O. Reznichenko. "Quadrature Formula for the Harmonic Double Layer Potential." Differential Equations 57, no. 7 (July 2021): 901–20. http://dx.doi.org/10.1134/s0012266121070077.

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5

Ohshima, Hiroyuki, and Tamotsu Kondo. "Double-layer interaction regulated by the donnan potential." Journal of Colloid and Interface Science 123, no. 1 (May 1988): 136–42. http://dx.doi.org/10.1016/0021-9797(88)90230-5.

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6

Ebenfelt, Peter, Dmitry Khavinson, and Harold S. Shapiro. "An Inverse Problem for the Double Layer Potential." Computational Methods and Function Theory 1, no. 2 (November 2001): 387–401. http://dx.doi.org/10.1007/bf03320998.

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7

Smith, David J., Meurig T. Gallagher, Rudi Schuech, and Thomas D. Montenegro-Johnson. "The Role of the Double-Layer Potential in Regularised Stokeslet Models of Self-Propulsion." Fluids 6, no. 11 (November 13, 2021): 411. http://dx.doi.org/10.3390/fluids6110411.

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The method of regularised stokeslets is widely used to model microscale biological propulsion. The method is usually implemented with only the single-layer potential, the double-layer potential being neglected, despite this formulation often not being justified a priori due to nonrigid surface deformation. We describe a meshless approach enabling the inclusion of the double layer which is applied to several Stokes flow problems in which neglect of the double layer is not strictly valid: the drag on a spherical droplet with partial-slip boundary condition, swimming velocity and rate of working of a force-free spherical squirmer, and trajectory, swimmer-generated flow and rate of working of undulatory swimmers of varying slenderness. The resistance problem is solved accurately with modest discretisation on a notebook computer with the inclusion of the double layer ranging from no-slip to free-slip limits; the neglect of the double-layer potential results in up to 24% error, confirming the importance of the double layer in applications such as nanofluidics, in which partial slip may occur. The squirming swimmer problem is also solved for both velocity and rate of working to within a small percent error when the double-layer potential is included, but the error in the rate of working is above 250% when the double layer is neglected. The undulating swimmer problem by contrast produces a very similar value of the velocity and rate of working for both slender and nonslender swimmers, whether or not the double layer is included, which may be due to the deformation’s ‘locally rigid body’ nature, providing empirical evidence that its neglect may be reasonable in many problems of interest. The inclusion of the double layer enables us to confirm robustly that slenderness provides major advantages in efficient motility despite minimal qualitative changes to the flow field and force distribution.

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8

Shang, J. Q., K. Y. Lo, and R. M. Quigley. "Quantitative determination of potential distribution in Stern–Gouy double-layer model." Canadian Geotechnical Journal 31, no. 5 (October 1, 1994): 624–36. http://dx.doi.org/10.1139/t94-075.

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A quantitative determination of the potential distribution in the Stern–Gouy double-layer model for clay–water–electrolyte systems is presented. The surface potential, Stern potential, thickness of the Gouy diffuse layer, and distribution of electrical potential can be computed by knowing the required parameters, such as the cation exchange capacity, specific surface area, electrolyte concentration, and valence, temperature, and permittivity of the solvent (pore fluid). The factors influencing the potential distribution in the double layer are discussed. To demonstrate the applications of the Stern–Gouy model, two examples are presented. In the first example, the relationship between the double-layer thicknesses and hydraulic conductivities of a natural soil permeated by different organic compounds is established. In the second example, the electric potential distributions of three natural clays are presented. It is anticipated that the Stern–Gouy double-layer model will find broader applications in geotechnical and environmental engineering practice as the principles and computation methods become more familiar to engineers. Key words : Stern–Gouy electrical double layer, clay–water–electrolyte systems, soil behaviour, hydraulic conductivity, sensitivity.

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9

ZHANG, SHIMIN. "INTERACTION OF DISSIMILAR PLANE PARALLEL DOUBLE LAYER AT ARBITRARY POTENTIAL." Surface Review and Letters 12, no. 04 (August 2005): 523–37. http://dx.doi.org/10.1142/s0218625x05007372.

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Several elliptic integrals related to the interaction energy between two dissimilar parallel plates (the potentials on the two plates are of the same sign) are expanded in several fast convergent series for lower and higher surface potentials, respectively. The number of series terms required to obtain the interaction energy with six significant figures is not more than four for the dimensionless surface potential from 0 to 20 if the series fit for the lower potential is combined with the series fit for the higher potential. The approximate expressions with different precisions can be obtained by retaining different series terms. The results of Devereux and de Bruyn are discovered to be incorrect when the surface potential is very low or very high.

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10

Ramm, Alexander G. "When does a double-layer potential equal to a single-layer one?" AIMS Mathematics 7, no. 10 (2022): 19287–91. http://dx.doi.org/10.3934/math.20221058.

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<abstract><p>Let $ D $ be a bounded domain in $ {{\mathbb R}}^3 $ with a closed, smooth, connected boundary $ S $, $ N $ be the outer unit normal to $ S $, $ k > 0 $ be a constant, $ u_{N^{\pm}} $ are the limiting values of the normal derivative of $ u $ on $ S $ from $ D $, respectively $ D': = {{\mathbb R}}^3\setminus \bar{D} $; $ g(x, y) = \frac{e^{ik|x-y|}}{4\pi |x-y|} $, $ w: = w(x, \mu): = \int_S g_{N}(x, s)\mu(s)ds $ be the double-layer potential, $ u: = u(x, \sigma): = \int_S g(x, s)\sigma(s)ds $ be the single-layer potential.</p> <p>In this paper it is proved that for every $ w $ there is a unique $ u $, such that $ w = u $ in $ D $ and vice versa. This result is new, although the potential theory has more than 150 years of history.</p> <p>Necessary and sufficient conditions are given for the existence of $ u $ and the relation $ w = u $ in $ D' $, given $ w $ in $ D' $, and for the existence of $ w $ and the relation $ w = u $ in $ D' $, given $ u $ in $ D' $.</p></abstract>

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11

Khalilov, E. H., and M. N. Bakhshaliyeva. "ON THE DERIVATIVE OF THE DOUBLE-LAYER LOGARITHMIC POTENTIAL." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 62 (2019): 38–54. http://dx.doi.org/10.17223/19988621/62/4.

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12

Groh, Gabor G. "A theorem on the potential of a double layer." Journal of Mathematical Analysis and Applications 161, no. 2 (November 1991): 576–86. http://dx.doi.org/10.1016/0022-247x(91)90352-z.

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13

Mohiuddin Mala, Gh, Chun Yang, and Dongqing Li. "Electrical double layer potential distribution in a rectangular microchannel." Colloids and Surfaces A: Physicochemical and Engineering Aspects 135, no. 1-3 (April 1998): 109–16. http://dx.doi.org/10.1016/s0927-7757(97)00215-x.

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14

Hunter, Robert John, Brian Robert Midmore, and Hongchung Zhang. "Zeta Potential of Highly Charged Thin Double-Layer Systems." Journal of Colloid and Interface Science 237, no. 1 (May 2001): 147–49. http://dx.doi.org/10.1006/jcis.2001.7423.

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15

Haoping, Wang, and Jin Jun. "Approximate Expressions for Double Layer Interaction at Moderate Potential." Journal of Colloid and Interface Science 177, no. 2 (February 1996): 380–83. http://dx.doi.org/10.1006/jcis.1996.0047.

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16

Yamamoto, Takashi. "Electron dynamics in one-dimensional double layers." Journal of Plasma Physics 34, no. 2 (October 1985): 271–88. http://dx.doi.org/10.1017/s0022377800002841.

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By numerical simulations, the dynamical behaviour of the electrons in one-dimensional double layers is studied. The simulation results show that at least one third of the electrons emitted at the low-potential boundary of the simulation system are reflected back before passing through the double layers. Such reflexion is due to (i) quasi-linear or nonlinear scattering by plasma oscillations and (ii) ambipolar potentials observed around the potential front of the localized double layer. The whole temporal evolution of the localized double layers are also presented. In particular, we attempt to explain the steepening and collapsing of the localized double layers in terms of the formula for the double-layer thickness.

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17

Krutitskii, P. A., and I. O. Reznichenko. "Quadrature Formula for the Double Layer Potential with Differentiable Density." Differential Equations 58, no. 8 (August 2022): 1114–25. http://dx.doi.org/10.1134/s0012266122080122.

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18

Gen-Xiang, Luo, Jin Jun, and Wang Hao-Ping. "Double Layer Interaction between Parallel Plates with High Surface Potential." Acta Physico-Chimica Sinica 17, no. 06 (2001): 484–87. http://dx.doi.org/10.3866/pku.whxb20010602.

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19

Hansen, Wilford N., Douglas Henderson, and Jens Ulstrup. "Charge-flow and potential shifts in electrochemical double layer emersion." Molecular Physics 68, no. 2 (October 10, 1989): 401–6. http://dx.doi.org/10.1080/00268978900102231.

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20

Aoki, Koichi Jeremiah, Jingyuan Chen, and Ridong He. "Potential Step for Double-Layer Capacitances Obeying the Power Law." ACS Omega 5, no. 13 (March 24, 2020): 7497–502. http://dx.doi.org/10.1021/acsomega.0c00301.

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21

Konenkov, A. N. "Smoothness of the double layer heat potential in Zygmund spaces." Differential Equations 43, no. 8 (August 2007): 1132–41. http://dx.doi.org/10.1134/s0012266107080113.

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22

Ohshima, Hiroyuki. "Effective Surface Potential and Double-Layer Interaction of Colloidal Particles." Journal of Colloid and Interface Science 174, no. 1 (September 1995): 45–52. http://dx.doi.org/10.1006/jcis.1995.1362.

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23

Kirillova, Ekaterina V., and Victor P. Stepanov. "A Potential-Induced Transformation in the Double Electrical Layer on the Rhenium Electrode in Alkali Chloride Melts." Materials 14, no. 20 (October 12, 2021): 6009. http://dx.doi.org/10.3390/ma14206009.

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Structural transformations in the adsorption layer caused by an electric potential are investigated using the experimental data on the capacitance of a double electric layer for a rhenium electrode in molten sodium, potassium and cesium chlorides at 1093 K. Likening the double electric layer to a flat capacitor, as well as the effective length of the shielding of the electrode charge and changes in the charge sign depending on the applied potential are estimated. It is found that near the minimum potential of the capacitance curve, the shielding length decreases proportionally to the square of the potential due to the deformation of the double layer. The deformation reaches critical values at the potentials of −0.65, −0.38 and −0.40 V for the Re|NaCl, Re|KCl and Re|CsCl systems respectively, and decreases sharply at more positive potentials. The analysis of the dependence of the charge density on the electrode revealed the effect of shielding of potential-induced rhenium cations by salt phase anions. The strong Raman-active Re–Cl stretching mode was observed at 292 cm−1. This can be explained by the transfer of anions across the interface resulting in the formation of ordered layers of ion associations (possibly, ReXn(n − 1)−) on a positively charged surface.

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24

Fawcett, W. Ronald, and Peter J. Ryan. "The diffuse double layer in ionic liquids." Collection of Czechoslovak Chemical Communications 74, no. 11-12 (2009): 1665–74. http://dx.doi.org/10.1135/cccc2009514.

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The equations used to describe the diffuse double layer in the Eigen–Wicke model of ionic liquids are presented. They are then used to estimate the potential drop across the diffuse layer and its differential capacity for two representative systems which contain monovalent ions of equal diameter. The first one is molten RbCl at 750 °C. The second system is a room temperature ionic liquid with typical parameters to describe its properties. The results of the calculations are compared with the available experimental data. It is concluded that the Eigen–Wicke model does not consider the change in local potential experienced by a given ion in the ionic liquid. The need for Monte Carlo data for the diffuse double layer in molten salt systems is emphasized.

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25

Donner, C., and L. Pohlmann. "Interference of Adsorption, Condensation, and Double-Layer Charging in Kinetic Studies of Film Formation. 1. Constant Double-Layer Potential." Langmuir 15, no. 14 (July 1999): 4898–906. http://dx.doi.org/10.1021/la981763r.

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26

Donner, C., and L. Pohlmann. "Interference of Adsorption, Condensation, and Double-Layer Charging in Kinetic Studies of Film Formation. 2. Nonconstant Double-Layer Potential." Langmuir 15, no. 14 (July 1999): 4907–15. http://dx.doi.org/10.1021/la981764j.

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27

Maciel, Homero Santiago, and J. E. Allen. "Free double layers in mercury-arc discharges." Journal of Plasma Physics 42, no. 2 (October 1989): 321–52. http://dx.doi.org/10.1017/s0022377800014380.

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A study has been carried out of free double layers formed within the plasma volume of a low-pressure mercury-arc discharge at high current densities. The free double layer is observed to form as a visible boundary, which drifts slowly from the central section of the discharge. Current-driven instabilities are observed as the discharge current is gradually increased to a critical value, at which current limitation is observed to occur. This process, which is accompanied by high-current spikes, ceases when the free double layer becomes visible as a sharp boundary dividing the discharge column into two regions of different luminosities. The layer is observed to form in the later stages of current limitation, the onset of which occurs for a ratio of drift to thermal speed of electrons of about unity. Electrical energy is converted by the layer into kinetic energy of the charged particles. Accordingly, high-energy ions were measured by means of an electrostatic energy analyser. The multiple-sheath character of the free ‘double layer’, which is inferred from probe measurements of potential profiles, is discussed and comparisons with other space-charge structures with the same topology are made.

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28

Lanza de Cristoforis, Massimo, and Paolo Luzzini. "Tangential derivatives and higher-order regularizing properties of the double layer heat potential." Analysis 38, no. 4 (January 1, 2019): 167–93. http://dx.doi.org/10.1515/anly-2018-0012.

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Abstract We prove an explicit formula for the tangential derivatives of the double layer heat potential. By exploiting such a formula, we prove the validity of a regularizing property for the integral operator associated to the double layer heat potential in spaces of functions with high-order derivatives in parabolic Hölder spaces defined on the boundary of parabolic cylinders which are unbounded in the time variable.

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29

Homentcovschi, Dorel. "Influence of viscosity on the scattering of an air pressure wave by a rigid body: a regular boundary integral formulation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2097 (April 22, 2008): 2303–20. http://dx.doi.org/10.1098/rspa.2007.0252.

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This paper gives a regular vector boundary integral equation for solving the problem of viscous scattering of a pressure wave by a rigid body. Firstly, single-layer viscous potentials and a generalized stress tensor are introduced. Correspondingly, generalized viscous double-layer potentials are defined. By representing the scattered field as a combination of a single-layer viscous potential and a generalized viscous double-layer potential, the problem is reduced to the solution of a vectorial Fredholm integral equation of the second kind. Generally, the vector integral equation is singular. However, there is a particular stress tensor, called pseudostress, which yields a regular integral equation. In this case, the Fredholm alternative applies and permits a direct proof of the existence and uniqueness of the solution. The results presented here provide the foundation for a numerical solution procedure.

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30

Wang, Gen, Luanluan Jia, Fengxuan Han, Jiayuan Wang, Li Yu, Yingkang Yu, Gareth Turnbull, Mingyu Guo, Wenmiao Shu, and Bin Li. "Microfluidics-Based Fabrication of Cell-Laden Hydrogel Microfibers for Potential Applications in Tissue Engineering." Molecules 24, no. 8 (April 25, 2019): 1633. http://dx.doi.org/10.3390/molecules24081633.

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Fibrous hydrogel scaffolds have recently attracted increasing attention for tissue engineering applications. While a number of approaches have been proposed for fabricating microfibers, it remains difficult for current methods to produce materials that meet the essential requirements of being simple, flexible and bio-friendly. It is especially challenging to prepare cell-laden microfibers which have different structures to meet the needs of various applications using a simple device. In this study, we developed a facile two-flow microfluidic system, through which cell-laden hydrogel microfibers with various structures could be easily prepared in one step. Aiming to meet different tissue engineering needs, several types of microfibers with different structures, including single-layer, double-layer and hollow microfibers, have been prepared using an alginate-methacrylated gelatin composite hydrogel by merely changing the inner and outer fluids. Cell-laden single-layer microfibers were obtained by subsequently seeding mouse embryonic osteoblast precursor cells (MC3T3-E1) cells on the surface of the as-prepared microfibers. Cell-laden double-layer and hollow microfibers were prepared by directly encapsulating MC3T3-E1 cells or human umbilical vein endothelial cells (HUVECs) in the cores of microfibers upon their fabrication. Prominent proliferation of cells happened in all cell-laden single-layer, double-layer and hollow microfibers, implying potential applications for them in tissue engineering.

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31

TOMINAGA, TSUYOSHI, KOHEI HAYASHI, and NAOKI TOSHIMA. "Construction of a ‘Sequential Potential Field’ by [Cu(pc)]/[Zn(pc)] double-layered Thin Film: Application to Electrochromic and Electroluminescent Devices." Journal of Porphyrins and Phthalocyanines 01, no. 03 (July 1997): 239–49. http://dx.doi.org/10.1002/(sici)1099-1409(199707)1:3<239::aid-jpp21>3.0.co;2-w.

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‘Sequential potential field’ is a concept to produce a potential cascade by the organization of redox components, and to aim for an effective and vectorial electron and/or hole transfer. Construction of the sequential potential field is examined by double-layered thin film composed of two kinds of metallophthalocyanine having different oxidation potentials, i.e. copper phthalocyanine and zinc phthalocyanine. In the electrochromic device of double-layered metallophthalocyanine thin films, hole transfer can be controlled by the order of deposition, which suggests that the present system is suitable for the construction of a sequential potential field. Double-layered metallophthalocyanine thin films were also used as a hole transfer layer in all-solid organic electroluminescent devices. In the case of an indium-tin oxide/copper phthalocyanine/zinc phthalocyanine/tris(8-hydroxyquinoline)aluminum/ Mg - Ag device for electroluminescence, a high brightness of more than 4000 cd m−2 can be achieved. This double-layered hole transfer system is more effective than the corresponding single hole transfer system, which is due to the construction of a sequential potential field in the hole transfer layer.

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32

Zuo, Qi Yang, Huang Ping, and Glenn Kwabena Gyimah. "The Effect of Asymmetrical Electric Double Layer on Pressure of Hydrodynamic Lubricating Film." Advanced Materials Research 393-395 (November 2011): 1536–40. http://dx.doi.org/10.4028/www.scientific.net/amr.393-395.1536.

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In this paper, the effect of the asymmetrical electric double layers of two friction surfaces on the pressure distribution in hydrodynamic lubrication regime is discussed. Based on the origin of the streaming potential, a formula to calculate the streaming potential gradient in the lubrication regime is derived. Then, the modified Reynolds equation with considering the asymmetrical electric double layers is used in the numerical analysis. The analysis results show that the asymmetrical electric double layers lead to a significant increase of the pressure when the lubricating film is very thin (below 100 nm). Overall, the larger the sum of the two zeta potentials, the larger the pressure increment is.

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33

Hou, Yongdan, Koichi Jeremiah Aoki, and Jingyuan Chen, Toyohiko Nishiumi. "Invariance of Double Layer Capacitance to Polarized Potential in Halide Solutions." Universal Journal of Chemistry 1, no. 4 (December 2013): 162–69. http://dx.doi.org/10.13189/ujc.2013.010404.

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34

Vu, Victor D. Didenko and Anh My. "Critical Angles of the Nyström Method for Double Layer Potential Equation." East Asian Journal on Applied Mathematics 8, no. 1 (June 2018): 194–210. http://dx.doi.org/10.4208/eajam.210517.071217a.

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35

KANO, Yoshio, Shinya HASEBE, and Kenji OMASA. "Measurement of electric potential of living plant by double layer electrodes." Environment Control in Biology 26, no. 2 (1988): 79–82. http://dx.doi.org/10.2525/ecb1963.26.79.

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36

Reznichenko, I. O., and P. A. Krutitskii. "Quadrature Formula for the Direct Value of the Double-Layer Potential." Programming and Computer Software 48, no. 3 (May 30, 2022): 227–33. http://dx.doi.org/10.1134/s0361768822030094.

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37

Aguilella, Vicente M., Salvador Mafé, and José A. Manzanares. "Double layer potential and degree of dissociation in charged lipid monolayers." Chemistry and Physics of Lipids 105, no. 2 (April 2000): 225–29. http://dx.doi.org/10.1016/s0009-3084(00)00123-7.

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38

Yun, B. I., and S. Lee. "Double layer potential scheme for Dirichlet problems on smooth open arcs." Computers & Mathematics with Applications 37, no. 7 (April 1999): 31–40. http://dx.doi.org/10.1016/s0898-1221(99)00085-1.

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39

Tseng, Shiojenn, Ji-Ming Jiang, and Jyh-Ping Hsu. "Electrical potential in a cylindrical double layer: a functional theory approach." Journal of Colloid and Interface Science 273, no. 1 (May 2004): 218–23. http://dx.doi.org/10.1016/j.jcis.2003.09.029.

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40

Tybrandt, Klas, Igor V. Zozoulenko, and Magnus Berggren. "Chemical potential–electric double layer coupling in conjugated polymer–polyelectrolyte blends." Science Advances 3, no. 12 (December 2017): eaao3659. http://dx.doi.org/10.1126/sciadv.aao3659.

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41

Costabel, Martin, V. J. Ervin, and Ernst Peter Stephan. "Quadrature and Collocation Methods for the Double Layer Potential on Polygons." Zeitschrift für Analysis und ihre Anwendungen 12, no. 4 (1993): 699–707. http://dx.doi.org/10.4171/zaa/536.

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42

Lu, Fuzhi, Jun Yang, and Daniel Y. Kwok. "Flow Field Effect on Electric Double Layer during Streaming Potential Measurements." Journal of Physical Chemistry B 108, no. 39 (September 2004): 14970–75. http://dx.doi.org/10.1021/jp048277z.

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43

Wala, Matt, and Andreas Klöckner. "Conformal Mapping via a Density Correspondence for the Double-Layer Potential." SIAM Journal on Scientific Computing 40, no. 6 (January 2018): A3715—A3732. http://dx.doi.org/10.1137/18m1174982.

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44

Charles, C. "High source potential upstream of a current-free electric double layer." Physics of Plasmas 12, no. 4 (April 2005): 044508. http://dx.doi.org/10.1063/1.1883182.

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45

Wang, Zhenxing, David L. Olmsted, Mark Asta, and Brian B. Laird. "Electric potential calculation in molecular simulation of electric double layer capacitors." Journal of Physics: Condensed Matter 28, no. 46 (September 14, 2016): 464006. http://dx.doi.org/10.1088/0953-8984/28/46/464006.

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46

Pottelette, R., M. Berthomier, and J. Pickett. "Radiation in the neighbourhood of a double layer." Annales Geophysicae 32, no. 6 (June 25, 2014): 677–87. http://dx.doi.org/10.5194/angeo-32-677-2014.

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Abstract. In the auroral kilometric radiation (AKR) source region, acceleration layers narrow in altitude and associated with parallel field-aligned potential drops of several kV can be identified by using both particles and wave-field high time-resolution measurements from the Fast Auroral SnapshoT explorer spacecraft (FAST). These so-called double layers (DLs) are recorded around density enhancements in the auroral cavity, where the enhancement can be at the edge of the cavity or even within the cavity at a small scale. Once immersed in the plasma, DLs necessarily accelerate particles along the magnetic field lines, thereby generating locally strong turbulent processes leading to the formation of nonlinear phase space holes. The FAST data reveal the asymmetric character of the turbulence: the regions located on the high-potential side of the DLs are characterized by the presence of electron holes, while on the low-potential side, ion holes are recorded. The existence of these nonlinear phase space holes may affect the AKR radiation pattern in the neighbourhood of a DL where the electron distribution function is drastically different from a horseshoe shape. We present some observations which illustrate the systematic generation of elementary radiation events occurring significantly above the local electron gyrofrequency in the presence of electron holes. These fine-scale AKR radiators are associated with a local electron distribution which presents a pronounced beam-like shape.

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Pettinger, Bruno, and Karl Doblhofer. "A practical approach to modeling the electrical double layer in the presence of specific adsorption of ions." Canadian Journal of Chemistry 75, no. 11 (November 1, 1997): 1710–20. http://dx.doi.org/10.1139/v97-604.

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Model calculations are presented that yield in a straightforward manner the quantitative dependence of the specific adsorption of ions at electrode surfaces on the applied electrode potential (electrode charge). Furthermore, the double-layer capacitance and the potential at the outer Helmholtz plane (ø2) are obtained. The derivation is based on Devanathan's three-capacitor model for the interfacial electric-potential distribution. A convenient correction function for the ø1 potential accounting for the discreteness-of-charge effect is derived, largely on the basis of recent work by Conway et al. The results are shown to be in very good agreement with published work by Lawrence and Parsons on the double layer between Br− electrolyte and the mercury electrode. Keywords: electrochemistry, specific adsorption, electric double layer, discreteness-of-charge effect.

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Haid, Richard W., Xing Ding, Theophilus Kobina Sarpey, Aliaksandr S. Bandarenka, and Batyr Garlyyev. "Exploration of the electrical double-layer structure: Influence of electrolyte components on the double-layer capacitance and potential of maximum entropy." Current Opinion in Electrochemistry 32 (April 2022): 100882. http://dx.doi.org/10.1016/j.coelec.2021.100882.

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Carvalho, Camille. "Modified Representations for the Close Evaluation Problem." Mathematical and Computational Applications 26, no. 4 (September 28, 2021): 69. http://dx.doi.org/10.3390/mca26040069.

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When using boundary integral equation methods, we represent solutions of a linear partial differential equation as layer potentials. It is well-known that the approximation of layer potentials using quadrature rules suffer from poor resolution when evaluated closed to (but not on) the boundary. To address this challenge, we provide modified representations of the problem’s solution. Similar to Gauss’s law used to modify Laplace’s double-layer potential, we use modified representations of Laplace’s single-layer potential and Helmholtz layer potentials that avoid the close evaluation problem. Some techniques have been developed in the context of the representation formula or using interpolation techniques. We provide alternative modified representations of the layer potentials directly (or when only one density is at stake). Several numerical examples illustrate the efficiency of the technique in two and three dimensions.

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Espinosa, Galván, Quiñones, Ayala, and Durón. "DNA Biosensor Based on Double-Layer Discharge for the Detection of HPV Type 16." Sensors 19, no. 18 (September 13, 2019): 3956. http://dx.doi.org/10.3390/s19183956.

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DNA electrochemical biosensors represent a feasible alternative for the diagnosis of different pathologies. In this work, the development of an electrochemical method for Human Papillomavirus-16 (HPV-16) sensing is reported based on potential relaxation measurements related to the discharge of a complex double layer of a DNA-modified gold electrode. The method used allows us to propose an equivalent circuit (EC) for a DNA/Au electrode, which was corroborated by electrochemical impedance spectroscopy (EIS) measurement. This model differs from the Randles circuit that is commonly used in double-layer simulations. The change in the potential relaxation and associated charge transfer resistance were used for sensing the DNA hybridization by using the redox pair Fe(CN)64-/Fe(CN)63+ as an electrochemical indicator. In order to determinate only the potential relaxation of the composed double layer, the faradic and double-layer current contributions were separated using a rectifier diode arrangement. A detection limit of 0.38 nM was obtained for the target HPV-16 DNA sequences. The biosensor showed a qualitative discrimination between a single-base mismatched sequence and the fully complementary HPV-16 DNA target. The results indicate that the discharge of the double-layer detection method can be used to develop an HPV DNA biosensor.

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