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A list of all pages that have property "Description" with value "'''Linear phenomenological laws''' are at the core of the thermodynamics of irreversible processes TIP, considered to apply near equilibrium but more generally in transport processes (e.g. Fick's law). In TIP, linearity is discussed as the dependence of generalized flows ''I'' or fluxes ''J'' on generalized forces, ''J'' = -''L''·''F'', where ''L'' is expected to be constant (as a prerequisite for linearity) and must not be a function of the force ''F'' ([[affinity]]) for [[Onsager 1931 Phys Rev |Onsager reciprocity]] to apply. This paradigm is challenged by the [[ergodynamics |ergodynamic concept]] of fundamentally non-linear isomorphic flux-[[force]] relations and is replaced by the generalized isomorphic flux-[[pressure]] relations. Flows ''I'' [MU·s-1] and forces ''F'' [J·MU-1] are conjugated pairs, the product of which yields power, ''I''·''F'' = ''P'' [J·s-1 = W]. Flux ''J'' is system-size specific flow, such that volume-specific flux times force yields volume-specific power, ''P''''V'' = ''J''·''F'' [W·m-3]. Then [[Vector |vectoral]] and [[Discontinuous system |vectorial]] transport processes are inherently non-linear flux-force relationships, with '''''L''''' = '''''u'''''·'''''c''''' in continuous transport processes along a gradient ('''''c''''' is the local concentration), or ''L'' = ''u''·''α'' (''α'' is the [[free activity]] in a discontinuous transport process across a semipermeable membrane) — formally not different from (isomorphic to) [[scalar]] chemical reactions.". Since there have been only a few results, also nearby values are displayed.

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Linear phenomenological laws + ('''Linear phenomenological laws''' are at … '''Linear phenomenological laws''' are at the core of the thermodynamics of irreversible processes TIP, considered to apply near equilibrium but more generally in transport processes (e.g. Fick's law). In TIP, linearity is discussed as the dependence of generalized flows ''I'' or fluxes ''J'' on generalized forces, ''J'' = -''L''·''F'', where ''L'' is expected to be constant (as a prerequisite for linearity) and must not be a function of the force ''F'' ([[affinity]]) for [[Onsager 1931 Phys Rev |Onsager reciprocity]] to apply. This paradigm is challenged by the [[ergodynamics |ergodynamic concept]] of fundamentally non-linear isomorphic flux-[[force]] relations and is replaced by the generalized isomorphic flux-[[pressure]] relations. Flows ''I'' [MU·s-1] and forces ''F'' [J·MU-1] are conjugated pairs, the product of which yields power, ''I''·''F'' = ''P'' [J·s-1 = W]. Flux ''J'' is system-size specific flow, such that volume-specific flux times force yields volume-specific power, ''P''''V'' = ''J''·''F'' [W·m-3]. Then [[Vector |vectoral]] and [[Discontinuous system |vectorial]] transport processes are inherently non-linear flux-force relationships, with '''''L''''' = '''''u'''''·'''''c''''' in continuous transport processes along a gradient ('''''c''''' is the local concentration), or ''L'' = ''u''·''α'' (''α'' is the [[free activity]] in a discontinuous transport process across a semipermeable membrane) — formally not different from (isomorphic to) [[scalar]] chemical reactions.emical reactions.)

Linear phenomenological laws +