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The application of thermodynamics to non-equilibrium systems is by no means obvious. Therefore, it is not surprising that there have been a number of theoretical developments following various approaches to deal with such systems: Classical nonequilibrium thermodynamics with internal variables, Lagrangian methods, bracket formulations, continuum or rational thermodynamics, variational formulations, extended irreversible thermodynamics, the matrix model, network thermodynamics, the GENERIC formalism and finite-time thermodynamics. To bring together and unify this variety of approaches and to achieve a common framework, suited for applications, a series of workshops has been initiated in 1996 to discuss this matter.
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