Fluctuation-Dissipation Theorem
Updated 2026-08-05
INTRODUCTION
English translation pending.
CORE DEFINITION
The fluctuation-dissipation theorem states that near equilibrium a system's spontaneous fluctuations, such as Brownian motion, and the way it dissipates perturbation energy as heat share one origin. Its response to an external stimulus is set by its own internal activity. The key condition is proximity to equilibrium and a linear response; the Einstein relation between diffusion and mobility is a special case.
SCAFFOLDING EFFECT
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- Vitality probe: measure a team's internal fluctuation of dissent and initiative as a gauge of its responsiveness. - Response estimate: infer sensitivity to external shocks from the size of internal variation. - Noise reframing: treat internal commotion as information, not interference to be silenced.
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Near equilibrium, a system's spontaneous microscopic fluctuations and its linear response to weak perturbations are linked by the same coefficient: larger fluctuations mean stronger response. The theorem thereby connects equilibrium statistics with transport properties.
MINIMUM ACTION
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Fluctuation%E2%80%93dissipation_theoremverified
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