Published April 15, 2026 | Version v1
Preprint Open

ZFCρ Thermodynamics Paper III: Canonical f/r Extraction and Regime Classification of the Fluctuation Absorption Rate η / ZFCρ热力学论文 III:涨落吸收率η的规范提取与regime分类

Authors/Creators

Description

Description

This paper introduces the convention-corrected coupling κ for dissipative two-channel dynamics and classifies four regimes (null, absorptive, overscreening, anti-compensatory) of the fluctuation absorption rate η. The admissible decomposition family concept, τ-selection taxonomy (channel-independent vs state-coupled systems), and a three-system benchmark panel (Ornstein–Uhlenbeck, Brusselator, Schlögl) are presented. A recurrent absorptive window η ≈ 0.20 is observed in state-coupled systems under moderate noise, with a candidate unifying ansatz via composite dissipation 1 − C(1)^{m_eff}. Four falsifiable predictions are stated. Third paper in the ZFCρ Thermodynamics series.

Keywords

  • nonequilibrium statistical mechanics
  • fluctuation absorption rate
  • dissipative systems
  • chemical oscillations
  • Brusselator
  • convention-corrected coupling
  • regime classification
  • cross-scale stability
  • thermodynamic uncertainty
  • Self-as-an-End (SAE)

Related Identifiers

Is supplement to (ZFCρ Thermodynamics series)

  • 10.5281/zenodo.19310282 (ZFCρ Thermo I)
  • 10.5281/zenodo.19511064 (ZFCρ Thermo II)

References (ZFCρ / SAE series)

  • 10.5281/zenodo.18914682 (ZFCρ Paper I)
  • 10.5281/zenodo.19426094 (ZFCρ Paper 54)
  • 10.5281/zenodo.19447349 (ZFCρ Paper 55)
  • 10.5281/zenodo.19476358 (Mass Series I)
  • 10.5281/zenodo.19510868 (Mass Series Convergence)
  • 10.5281/zenodo.19464447 (Four Forces Convergence)

Files

Thermodynamics Paper III- Canonical f:r Extraction and Regime Classification of the Fluctuation Absorption Rate η.pdf