BibTeX
@MISC{Biot_approachto,
author = {M. A. Biot},
title = {APPROACH TO A LARGE CLASS OF INSTABILITIES OF DISSIPATIVE CONTINUA},
year = {}
}
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Abstract
As a contribution toward unification and interdisciplinary perspective it seems appropriate here to call attention to an extensive body of results established by another school regarding the thermodynamic aspects of instability leading to dissipative structures. The theory deals with the linear irreversible thermodynamics of deviations from a state of equilibrium which is unstable, as distinguished from unstable perturbations in the vicinity of a nonequilibrium steady state. However, as pointed out below, special cases of instability of steady-state flows may also be analyzed by similar methods. This general approach provides a systematic thermodynamic analysis of continua which are initially stressed in a state of unstable equilibrium. Typical classical examples are elastic buckling in compression, and a viscous fluid in equilibrium in a gravity field with an unstable density gradient. In general perturbations of the unstable equilibrium obey the Lagrangian equations
Keyphrases
large class instability dissipative continuum unstable equilibrium thermodynamic aspect linear irreversible thermodynamics viscous fluid special case typical classical example lagrangian equation dissipative structure systematic thermodynamic analysis nonequilibrium steady state general approach general perturbation gravity field similar method interdisciplinary perspective unstable density gradient unstable perturbation extensive body elastic buckling theory deal steady-state flow
