The effects of nonlocality on the evolution of higher order fluxes in non-equilibrium thermodynamics

Details The effects of nonlocality on the evolution of higher order fluxes in non-equilibrium thermodynamics The effects of nonlocality on the evolution of higher order fluxes in non-equilibrium thermodynamics

2004-09-10

arxiv.org/abs/cond-mat/0409254v2

Journal of Mathematical Physics, 2005, V46, 112901

Physics

Condensed Matter

Other Condensed Matter

16 pages, 1 figure

Scientific paper

10.1063/1.2101087

The role of gradient dependent constitutive spaces is investigated on the example of Extended Thermodynamics of rigid heat conductors. Different levels of nonlocality are developed and the different versions of extended thermodynamics are classified. The local form of the entropy density plays a crucial role in the investigations. The entropy inequality is solved under suitable constitutive assumptions. Balance form of evolution equations is obtained in special cases. Closure relations are derived on a phenomenological level.

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