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Long-Range Persistence Active Fluctuation Effect on a Colloidal Particle: Dissipation and Entropy Production

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Analysis shows long-range active noise impacts entropy production in colloidal particles, indicating complex dynamics.

Total entropy production demonstrates an integral fluctuation theorem, confirming its statistical properties.
The power-law exponent α controls irreversibility, where smaller α leads to enhanced time correlations and greater entropy production.
Exact solutions for position statistics and correlations were derived in the overdamped regime, highlighting active noise effects.
Medium entropy is defined based on a time-dependent active temperature derived from noise correlation functions.

Rangaig et al. (2025) studied this question.

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