微視的温度こう配を考慮した熱極性物質に対するClausius-Duhemの不等式

概要

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A concept of thermopolar materials considered nonlocalities of thermodynamical quantities, was proposed in the previous report in order to express nonequilibrium processes. In the present paper, mechanical and thermodynamical balance laws are discussed as preliminary to the construction of a generalized continuum mecharlics for thermopolar materials. Defining the fluctuations of thermodynamical quantities by their microscopic gradient, we introduce the nonlocal effects. Moreover, one more balance law, which expresses the balance of the fluctuations of thermodynamical quantities, is formulated in order to make the balance equation system a complete set. Furhermore, the Clausius-Duhem inequality, which is important to discussion of the thermodynamical construction of the constitutive equations for the thermopolar materials, is derived. As a result, a part of the entropy production rate is expressed by fluctuations of thermodynamical quantities. Consequently, it is suggested that the microscopic gradient of temperature has to be included in the state variables under nonequilibrium conditions.
社団法人日本機械学会の論文
1992-04-25