### Abstract

Ionic motion in framework solid electrolytes constitutes a special sort of classical many-body problem. In such electrolytes, the conductivity is due to the motion of interacting mobile ions modulated by the presence of an essentially immobile framework sublattice. Here, a one-dimensional model of interacting particles, governed by Langevin's equations of motion in a sinusoidal potential, is used to calculate particle distribution functions and effective potentials. The effective potential V_{eff}(x), is then defined through the density distribution, ρ{variant}(x), ρ{variant}(x) ∞ e^{-βV}_{eff}^{x} where β = 1/kT. The Langevin dynamics simulation is used to calculate ρ{variant}(x), which in turn gives V_{eff}(x). The dc conductivity and the other distribution functions can be used to investigate commensurability effects, pinning effects, and screening effects. Comparisons can then be made between correct numerical many-body results and various analytical approximations.

Original language | English |
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Pages (from-to) | 127-135 |

Number of pages | 9 |

Journal | Solid State Ionics |

Volume | 18-19 |

Issue number | PART 1 |

DOIs | |

Publication status | Published - 1986 |

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### ASJC Scopus subject areas

- Electrochemistry
- Physical and Theoretical Chemistry
- Energy Engineering and Power Technology
- Materials Chemistry
- Condensed Matter Physics

### Cite this

*Solid State Ionics*,

*18-19*(PART 1), 127-135. https://doi.org/10.1016/0167-2738(86)90099-8