Axiomatic theory of self-organizing system

Alexander I. Olemskoi

Physica A: Statistical Mechanics and its Applications, 2002, vol. 310, issue 1, 223-233

Abstract: Mutually conjugated synergetic schemes are assumed to address the evolution of nonequilibrium self-organizing system. Within the framework of the former, the system is parameterized by a conserving order parameter using density, a conjugate field reducing to a gradient of related flux, and control parameter, whose driven magnitude fixes stationary state. We show that the introduced conjugate field and the control parameter are relevant to entropy and internal energy, so that self-organization effect appears as a negative temperature. Along the line of the conjugated scheme, roles of order parameter, conjugate field and control parameter are played with a flux of conserving value, and gradients of both chemical potential and temperature. With the growth of the latter, a relevant value of the entropy shows a decrease in the supercritical regime related to spontaneous flux-state. We prove that both the approaches stated on using density and conjugated flux as order parameters follow from unified field theory related to the simplest choice of both the Lagrangian and dissipative function.

Keywords: Lorenz scheme; Density; Flux; Entropy; Temperature; Internal and free energies (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:310:y:2002:i:1:p:223-233

DOI: 10.1016/S0378-4371(02)00596-4

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