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| 001 | 154315 | ||
| 005 | 20240619091118.0 | ||
| 024 | 7 | _ | |a 10.1063/1.4881599 |2 doi |
| 024 | 7 | _ | |a 1089-7690 |2 ISSN |
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| 037 | _ | _ | |a FZJ-2014-03663 |
| 082 | _ | _ | |a 540 |
| 100 | 1 | _ | |a Pabst, Michael |0 P:(DE-Juel1)128714 |b 0 |e Corresponding Author |u fzj |
| 245 | _ | _ | |a Analytical solution of the Poisson-Nernst-Planck equations for an electrochemical system close to electroneutrality |
| 260 | _ | _ | |a Melville, NY |c 2014 |b American Institute of Physics |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a Single charge densities and the potential are used to describe models of electrochemical systems. These quantities can be calculated by solving a system of time dependent nonlinear coupled partial differential equations, the Poisson-Nernst-Planck equations. Assuming small deviations from the electroneutral equilibrium, the linearized and decoupled equations are solved for a radial symmetric geometry, which represents the interface between a cell and a sensor device. The densities and the potential are expressed by Fourier-Bessels series. The system considered has a ratio between the Debye-length and its geometric dimension on the order of 10−4 so the Fourier-Bessel series can be approximated by elementary functions. The time development of the system is characterized by two time constants, τ c and τ g . The constant τ c describes the approach to the stationary state of the total charge and the potential. τ c is several orders of magnitude smaller than the geometry-dependent constant τ g , which is on the order of 10 ms characterizing the transition to the stationary state of the single ion densities. |
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| 773 | _ | _ | |a 10.1063/1.4881599 |g Vol. 140, no. 22, p. 224113 - |0 PERI:(DE-600)1473050-9 |n 22 |p 224113 |t The @journal of chemical physics |v 140 |y 2014 |x 1089-7690 |
| 856 | 4 | _ | |z Published final document. |
| 856 | 4 | _ | |y OpenAccess |z Published final document. |u https://juser.fz-juelich.de/record/154315/files/FZJ-2014-03663.pdf |
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