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Brillouin and Langevin functions

The Brillouin and Langevin functions are a pair of special functions that appear when studying an idealized paramagnetic material in statistical mechanics. These functions are named after French physicists Paul Langevin and Léon Brillouin, who contributed to the microscopic understanding of magnetic properties of matter.

Brillouin function for paramagnetism, Langevin function for classical paramagnetism & Simplified functions

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Brillouin function for paramagnetism

MagnetizationParamagnetismMagnetic fieldTotal angular momentum quantum numberHalf-integer
15 related topics

Langevin function for classical paramagnetism

Classical limitClassical physicsNiels BohrBohr–Van Leeuwen theoremJ. H. Van Vleck
5 related topics

Simplified functions

Taylor seriesLambert's continued fractionCatastrophic cancellation
3 related topics

Inverse Langevin function

Padé approximantMATLAB
2 related topics

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Brillouin function for paramagnetism

Langevin function for classical paramagnetism

Langevin function for electric polarization

Simplified functions

Inverse Langevin function

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Brillouin and Langevin functions

Nodes38
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Triples0
Avg. degree1.95
Density0.052632
Components1

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displaystyle function langevin brillouin magnetic field frac quantum -1 paramagnetism mu could given text statistical magnetization inverse case bohr valid

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