Poisson–Boltzmann equation

equation describing the distribution of the electric potential in solution in the direction normal to a charged surface
Thing nonlinear_partial_differential_equation Q901009
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Poisson–Boltzmann equation

Summary

Poisson–Boltzmann equation is a nonlinear partial differential equation[1]. It draws 80 Wikipedia views per month (nonlinear_partial_differential_equation category, ranking #3 of 6).[2]

Key Facts

  • Poisson–Boltzmann equation's instance of is recorded as nonlinear partial differential equation[3].
  • Poisson–Boltzmann equation's Freebase ID is recorded as /m/0ftfhc[4].
  • Poisson–Boltzmann equation's defining formula is recorded as \nabla^2\psi=\frac{2c_0e}{\varepsilon_{\mathrm{r}}\varepsilon_0}\sinh\frac{e\psi}{k_{\mathrm{B}}T}[5].
  • Poisson–Boltzmann equation's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • Poisson–Boltzmann equation's Microsoft Academic ID is recorded as 109757611[7].
  • Poisson–Boltzmann equation's in defining formula is recorded as e[8].
  • Poisson–Boltzmann equation's in defining formula is recorded as T[9].
  • Poisson–Boltzmann equation's in defining formula is recorded as k_{\mathrm{B}}[10].
  • Poisson–Boltzmann equation's in defining formula is recorded as \varepsilon_0[11].
  • Poisson–Boltzmann equation's in defining formula is recorded as \varepsilon_{\mathrm{r}}[12].
  • Poisson–Boltzmann equation's in defining formula is recorded as \psi[13].
  • Poisson–Boltzmann equation's in defining formula is recorded as \sinh[14].
  • Poisson–Boltzmann equation's in defining formula is recorded as \nabla^2[15].
  • Poisson–Boltzmann equation's OpenAlex ID is recorded as C109757611[16].
  • Poisson–Boltzmann equation's Encyclopedia of China is recorded as 229648[17].

Why It Matters

Poisson–Boltzmann equation draws 80 Wikipedia views per month (nonlinear_partial_differential_equation category, ranking #3 of 6).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[18] It is known by 8 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Freebase Data Dumps. wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Poisson–Boltzmann equation. Retrieved May 3, 2026, from https://4ort.xyz/entity/poisson-boltzmann-equation
MLA “Poisson–Boltzmann equation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/poisson-boltzmann-equation.
BibTeX @misc{4ortxyz_poisson-boltzmann-equation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Poisson–Boltzmann equation}}, year = {2026}, url = {https://4ort.xyz/entity/poisson-boltzmann-equation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Poisson–Boltzmann equation — https://4ort.xyz/entity/poisson-boltzmann-equation (retrieved 2026-05-03)

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