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Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems | IEEE Conference Publication | IEEE Xplore

Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems


Abstract:

In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energ...Show More

Abstract:

In this paper we develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy equipartition, temperature equipartition, and entropy nonconservation principles for discrete-time, large-scale dynamical systems. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamical system to do useful work and grow more organized, and show that conservation of energy in an isolated thermodynamic system necessarily leads to nonconservation of ectropy and entropy. In addition, using the system ectropy as a Lyapunov function candidate we show that our discrete-time, large-scale thermodynamic energy flow model has convergent trajectories to Lyapunov stable equilibria determined by the system initial subsystem energies.
Date of Conference: 08-10 June 2005
Date Added to IEEE Xplore: 01 August 2005
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Conference Location: Portland, OR, USA

References

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