If time-evolution equations are formulated in terms of thermodynamic building blocks, two possibilities arise to judge the consistency of models: By the properties of the building blocks (strong or structural consistency), or solely by the implied evolution equations (weak or dynamic consistency). We propose a straightforward procedure to check for strong consistency by means of the eigenvalues and eigenmodes of the linearized equations, which is related to establishing a fluctuation-dissipation theorem. By applying the general ideas to hydrodynamics, we clarify the role of the controversial diffusion terms in hydrodynamic equations. for LaTeX users @article{HC\"Ottinger2007-99, author = {H. C. \"Ottinger}, title = {Weakly and Strongly Consistent Formulations of Irreversible Processes}, journal = {Phys. Rev. Lett.}, volume = {99}, pages = {130602}, year = {2007} }
\bibitem{HC\"Ottinger2007-99} H.C. \"Ottinger, Weakly and Strongly Consistent Formulations of Irreversible Processes, Phys. Rev. Lett. {\bf 99} (2007) 130602 (4 pages).HC\"Ottinger2007-99 H.C. \"Ottinger Weakly and Strongly Consistent Formulations of Irreversible Processes Phys. Rev. Lett.,99,2007,130602 (4 pages) |