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Thermovoltages under a non‐linear Seebeck coefficient
Author(s) -
Bärner K.,
Morsakov W.,
Irrgang K.
Publication year - 2016
Publication title -
physica status solidi (a)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.532
H-Index - 104
eISSN - 1862-6319
pISSN - 1862-6300
DOI - 10.1002/pssa.201532308
Subject(s) - seebeck coefficient , thermal expansion , quadratic equation , boltzmann constant , asymmetry , homogeneous , condensed matter physics , term (time) , nonlinear system , materials science , mathematics , physics , thermoelectric effect , mathematical analysis , thermodynamics , quantum mechanics , geometry
The thermovoltages in the case of a nonlinear absolute Seebeck‐coefficient S ( T ) of a material A are discussed up to the quadratic term in the expansion of S ( T ) for inhomogeneous (AB) as well as for homogeneous (AA) material rings. The quadratic term results in additional thermovoltages and in particular in a Benedicks effect, Δ u AA ∼ (Δ T ) 3 , but only if there is a thermal asymmetry in the bisectional ring AA, too. The coefficients of the expansion of S ( T ) are calculated for the case that the quadratic term originates from the thermal expansion of a metallic material, using the Boltzmann–Fermi theory.