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Theory of an anisotropic thermoelectric refrigerator in a magnetic field

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It is shown that the difference between the specific thermal conductivity coefficients in the absence of an electric current and field has a substantial effect on the maximum temperature drop.

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\(\hat K_j (H),\hat K_E (H),\) :

specific thermal conductivity coefficients


magnetic field intensity vector

\(\hat P(H)\) :

Peltier tensor

\(\hat \delta (H)\) :

specific electric conductivity tensor

\(\hat \alpha (H)\) :

thermoelectromotive force tensor

ΔT :

maximum temperature drop

T :


y :


K, δ:

anisotropy parameters

Z :


f b(H):

function defining anisotropic media

C 1 :

intergration constant

T 0,T 1 :

temperatures of the cold and hot faces of the ATE. Subscripts:i, k, tensors

j, E:

density and strength of the electric field


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    A. G. Samoilovich and V. N. Slipchenko, Fiz. Tekh. Poluprovodn.,15, No. 5, 965–967 (1981).

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    L. I. Bytenskii, T. S. Gudkin, E. K. Iordanishvili, and Ye. E. Fiskind, Fiz. Tekh. Poluprovodn.,12, No. 3, 538–542 (1978).

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    B. I. Mogilevskii and A. F. Chudnovskii, Heat Conduction of Semiconductors [in Russian], Moscow (1972).

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    L. I. Anatychuk, Thermoelements and Thermoelectric Devices [in Russian], Kiev (1979).

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Additional information

Chernovitsy State University, Ukraine. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 66, No. 6, pp. 729–732, June, 1994.

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Buda, I.S., Lutsyak, V.S. Theory of an anisotropic thermoelectric refrigerator in a magnetic field. J Eng Phys Thermophys 66, 651–654 (1994). https://doi.org/10.1007/BF00867967

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  • Magnetic Field
  • Thermal Conductivity
  • Statistical Physic
  • Electric Current
  • Substantial Effect