Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics

Revisiting the Glansdorff-Prigogine criterion for stability within irreversible thermodynamics

Glansdorff and Prigogine proposed a decomposition of the entropy production rate, which has more recently been rediscovered in various constructions of nonequilibrium statistical mechanics. Their context was irreversible thermodynamics which, while ignoring fluctuations, still allows a somewhat broader treatment than the one based on the Master or Fokker-Planck equation. Glansdorff and Prigogin...

The Glass Transition Within the Thermodynamics of Irreversible Processes

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

Irreversible Thermodynamics

There are alternative sets of postulates which yield entirely equivalent results for several important theories. In such cases the choice of a particular set of postulates may be based upon mathematical simplicity, close relationship to experiments or to the nature of the theory, or merely personal taste. While the postulate of conservation of energy is usually presented in similar form for the...

Basics of Irreversible Thermodynamics

Weakly Nonlocal Irreversible Thermodynamics

Weakly nonlocal thermodynamic theories are critically revisited. A relocalized, irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current and new kind of internal variables, the so called current multipliers. The treatment is restricted to deal with nonlocality connected to dynamic thermodynamic variables. Several classical equations are d...