scholarly journals Non-Equilibrium Thermodynamics: Steady State Thermodynamic Relations in the Non-Linear Current-Affinity Region

1971 ◽  
Vol 44 (4) ◽  
pp. 1001-1003 ◽  
Author(s):  
R. J. Tykodi
Keyword(s):  
Steady State ◽  
Equilibrium Thermodynamics ◽  
Linear Current ◽  
Non Linear ◽  
Non Equilibrium

Modelling Dynamic Recovery and Recrystallization of Metals by a New Non-Equilibrium Thermodynamics Approach

2007 ◽  
Vol 558-559 ◽  
pp. 517-522
Author(s):  
Ming Xin Huang ◽  
Pedro E.J. Rivera-Díaz-del-Castillo ◽  
Sybrand van der Zwaag
Keyword(s):  
Steady State ◽  
High Temperature ◽  
Flow Stress ◽  
Dislocation Density ◽  
Dynamic Recovery ◽  
High Temperature Deformation ◽  
Temperature Deformation ◽  
Equilibrium Thermodynamics ◽  
Burgers Vector ◽  
Non Equilibrium

A non-equilibrium thermodynamics-based approach is proposed to predict the dislocation density and flow stress at the steady state of high temperature deformation. For a material undergoing dynamic recovery and recrystallization, it is found that the total dislocation density can be expressed as ( )2 ρ = λε& b , where ε& is the strain rate, b is the magnitude of the Burgers vector and λ is a dynamic recovery and recrystallization related parameter.

A cybernetic view on learning curves and energy policy

Kybernetes ◽  
2015 ◽  
Vol 44 (6/7) ◽  
pp. 852-865 ◽  
Author(s):  
Clas-Otto Wene
Keyword(s):  
Steady State ◽  
Learning Curve ◽  
Learning Curves ◽  
Learning System ◽  
Minimum Entropy ◽  
Equilibrium Thermodynamics ◽  
Content Type ◽  
Technology Learning ◽  
Minimum Entropy Production ◽  
Non Equilibrium

Purpose – The purpose of this paper is to demonstrate that cybernetic theory explains learning curves and sets the curves as legitimate and efficient tools for a pro-active energy technology policy. Design/methodology/approach – The learning system is a non-trivial machine that is kept in non-equilibrium steady state at minimum entropy production by competitive, equilibrium markets. The system has operational closure and the learning curve expresses its eigenbehaviour. This eigenbehaviour is analysed not in calendar time but in the characteristic time of the system, i.e., its eigentime. Measured in eigentime, the minimum entropy production in the steady-state learning system is constant. The double closure mechanism described by Heinz von Förster makes it possible for the learning system to change (adapt) its eigenbehaviour without compromising its operational closure. Findings – By obeying basic laws of second order cybernetics and of non-equilibrium thermodynamics the learning system self-organises its learning to follow an optimal path described by the learning curve. The learning rates are obtained through an operator formalism and the results explain observed distributions. Application to solar cell (photo-voltaic) modules indicates that the silicon scarcity bubble 2005-2008 produced excess entropy corresponding to costs of the order of 100 billion US dollars. Research limitations/implications – Grounding technology learning and learning curves in cybernetics and non-equilibrium thermodynamics open up new possibilities to understand technology shifts through radical innovations or paradigm changes. Practical implications – Learning curves are legitimate and efficient tools for energy policy and industrial strategy. Originality/value – Grounding of technology learning and learning curves in cybernetic and thermodynamic theory provides a stable theoretical basis for applications in industry and policy.

scholarly journals Dissipated work, stability and the internal flow structure of granular snow avalanches

2005 ◽  
Vol 51 (172) ◽  
pp. 125-138 ◽  
Author(s):  
Perry Bartelt ◽  
Othmar Buser ◽  
Martin Kern
Keyword(s):  
Steady State ◽  
Entropy Production ◽  
Dissipative Systems ◽  
Momentum Balance ◽  
Granular System ◽  
Snow Avalanches ◽  
Equilibrium Thermodynamics ◽  
Layer System ◽  
Constitutive Parameters ◽  
Non Equilibrium

AbstractWe derive work dissipation functionals for granular snow avalanches flowing in simple shear. Our intent is to apply constructive theorems of non-equilibrium thermodynamics to the snow avalanche problem. Snow chute experiments show that a bi-layer system consisting of a non-yielded flow plug overriding a sheared fluidized layer can be used to model avalanche flow. We show that for this type of constitutive behaviour the dissipation functionals are minimum at steady state with respect to variations in internal velocity; however, the functionals must be constrained by subsidiary mass- continuity integrals before the equivalence of momentum balance and minimal work dissipation can be established. Constitutive models that do not satisfy this equivalence are henceforth excluded from our consideration. Fluctuations in plug and slip velocity depend on the roughness of the flow surface and viscosity of the granular system. We speculate that this property explains the transition from flowing avalanches to powder avalanches. Because the temperature can safely be assumed constant, we demonstrate within the context of non-equilibrium thermodynamics that granular snow avalanches are irreversible, dissipative systems, minimizing – in space – entropy production. Furthermore, entropy production is linear both near and far from steady-state non-equilibrium because of the mass-continuity constraint. Finally, we derive thermodynamic forces and conjugate fluxes as well as expressing the corresponding phenomenological Onsager coefficients in terms of the constitutive parameters.

Modelling steady state deformation of fcc metals by non-equilibrium thermodynamics

2007 ◽  
Vol 23 (9) ◽  
pp. 1105-1108 ◽  
Author(s):  
M. Huang ◽  
P. E. J. Rivera Díaz del Castillo ◽  
S. van der Zwaag
Keyword(s):  
Steady State ◽  
Equilibrium Thermodynamics ◽  
Fcc Metals ◽  
Non Equilibrium
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