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arXiv physics/0604221physics.gen-ph
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Heat transfer in theory of relativity

A. Brotas, J. C. Fernandes

摘要:

传统的傅里叶方程只能用来研究“不可变形”杆中温度的演化。寻找它的相对论变体是一项预计会失败的任务,因为在相对论中没有不可改变的酒吧。从“尽可能刚性”的意义上讲,刚体是可变形的。在这项工作中,我们将展示如何写在相对论的方程组,同时研究变形和温度沿刚性变形杆的演变。两个联立方程的解决方案进行了讨论,假设方便的材料的本构关系。一个应用程序。

英文摘要:

The traditional Fourier equation just allows us to study the evolution of temperature in an "undeformable" bar. The search for its relativistic variant is a task which is expected to fail because in relativity there are no undeformable bars. Rigid bodies, in the sense of "as rigid as possible", are deformables. In this work we show how to write in relativity the system of equations necessary to study simultaneously deformation and temperature evolution along a rigid deformable bar. The solutions of the two simultaneous equations is discussed assuming convenient constitutive relations for the material. An application is presented.

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