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Axiomatic theory of nonequilibrium system

A. I. Olemskoi
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Abstract

Mutually conjugated synergetic schemes are assumed to address evolution of nonequilibrium self-organizing system. Within framework of the former, the system is parameterized by a conserving order parameter being a density, a conjugate field reducing to gradient of related flux, and control parameter, whose driven magnitude fixes stationary state. We show that so-introduced conjugate field and control parameter are relevant to entropy and internal energy, so that self-organization effect is appeared 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 growth of the latter, relevant value of the entropy shows to decrease in supercritical regime related to spontaneous flux-state. We proof that both approach stated on using density and conjugated flux as order parameters follow from unified field theory related to the simplest choice of both Lagrangian and dissipative function.

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A. I. Olemskoi. 2001-06-14. Axiomatic theory of nonequilibrium system. https://arxiv.org/abs/cond-mat/0106270

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