Journal ArticleDOI
Stability of transport
Reads0
Chats0
TLDR
In this paper, it was shown that the stability criterion derived by Schlogl from statistical theory leads in the case of hydrodynamical transport states to a global stability criterion for a steady nonequilibrium state which leads under assumption of locality and for infinitesimal deviations from the steady state to the stability criteria of Glansdorff and Prigogine.Abstract:
It is shown that the stability criterion derived by Schlogl from statistical theory leads in the case of hydrodynamical transport states to a global stability criterion for a steady nonequilibrium state which leads under assumption of locality and for infinitesimal deviations from the steady state to the stability criterion of Glansdorff and Prigogine.read more
Citations
More filters
Journal ArticleDOI
Stochastisches Reaktionsmodell für einen Nichtgleichgewichts-Phasenübergang
TL;DR: In this paper, the stochastic version of a chemical autocatalytic reaction scheme is discussed and the time constant of the transition from a lower to a higher value is calculated.
Journal ArticleDOI
A characteristic class of quantities in nonequilibrium thermodynamics and a statistical justification of the local equilibrium approximation
S. L. Yuan,Z.Y Li,X. Y. Zeng,G.Q. Zhang,F. Tu,G. Peng,Ji-Bing Liu,Y. Jiang,Y. P. Yang,C.Q. Tang +9 more
TL;DR: In this paper, the cumulants of the bit-number of a hydrodynamic system with respect to reversible motion were discussed. And the authors gave a justification of the macroscopic approximation by local equilibrium for hydrodynamics on a very general level.
Journal ArticleDOI
Specific heat as a general statistical measure
TL;DR: In this article, a general statistical measure for probability distributions is connected with specific heat, which can find an analogy in non-equilibrium phase transitions, and a similar measure is given for quantum mechanical density matrices.
Journal ArticleDOI
Information-theoretic stability and evolution criteria in irreversible thermodynamics
TL;DR: In this article, generalized information gain quantities are used to derive stability conditions, for steady states, periodic orbits and invariant sets, and general evolution criteria, both global and local with respect to the time variable, in irreversible thermodynamics.
Book ChapterDOI
Catastrophes and Bifurcations in Variational Problems
TL;DR: In this article, an extension of catastrophe theory to infinite dimensional spaces is used to determine the bifurcation properties of the solutions of nonlinear operator equations, deriving from variational problems, so that they are classifiable in terms of catastrophe polynomials.