Effective potentials from Langevin dynamic simulations of framework solid electrolytes

R. O. Rosenberg, Y. Boughaleb, A. Nitzan, Mark A Ratner

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 Veff(x), is then defined through the density distribution, ρ{variant}(x), ρ{variant}(x) ∞ e-βVeffx where β = 1/kT. The Langevin dynamics simulation is used to calculate ρ{variant}(x), which in turn gives Veff(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 languageEnglish
Pages (from-to)127-135
Number of pages9
JournalSolid State Ionics
Volume18-19
Issue numberPART 1
DOIs
Publication statusPublished - 1986

Fingerprint

Solid electrolytes
solid electrolytes
Distribution functions
Computer simulation
distribution functions
Electrolytes
Equations of motion
conductivity
Screening
many body problem
simulation
Ions
sublattices
density distribution
equations of motion
screening
electrolytes
approximation
ions

ASJC Scopus subject areas

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

Cite this

Effective potentials from Langevin dynamic simulations of framework solid electrolytes. / Rosenberg, R. O.; Boughaleb, Y.; Nitzan, A.; Ratner, Mark A.

In: Solid State Ionics, Vol. 18-19, No. PART 1, 1986, p. 127-135.

Research output: Contribution to journalArticle

Rosenberg, R. O. ; Boughaleb, Y. ; Nitzan, A. ; Ratner, Mark A. / Effective potentials from Langevin dynamic simulations of framework solid electrolytes. In: Solid State Ionics. 1986 ; Vol. 18-19, No. PART 1. pp. 127-135.
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