On the Heat Equation for n-Type Semiconductors
Abstract
In a previous paper, in a geometrized framework for the description of simple ma-
terials with internal variables, the specific example of defective semiconductor crystals
defective by dislocations was considered and a dislocation core tensor `a la Maruszewski
and its flux were introduced as internal variables in the state space. Moreover, the entropy
function and the entropy 1-form, starting point to introduce a thermodynamical phase
space, were derived. In this contribution Clausius-Duhem inequality for these media is
exploited, and, using a Maugin technique, the laws of state, the extra entropy flux and the
residual dissipation inequality are worked out. Also, following Maugin, the heat equation
in a first and a second form is derived.
[DOI: 10.1685/CSC09308] About DOI
terials with internal variables, the specific example of defective semiconductor crystals
defective by dislocations was considered and a dislocation core tensor `a la Maruszewski
and its flux were introduced as internal variables in the state space. Moreover, the entropy
function and the entropy 1-form, starting point to introduce a thermodynamical phase
space, were derived. In this contribution Clausius-Duhem inequality for these media is
exploited, and, using a Maugin technique, the laws of state, the extra entropy flux and the
residual dissipation inequality are worked out. Also, following Maugin, the heat equation
in a first and a second form is derived.
[DOI: 10.1685/CSC09308] About DOI
Keywords
Non-equilibrium thermodynamics, extrinsic semiconductor crystals, dislocation defects, internal variables.
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PDFDOI: https://doi.org/10.1685/
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