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Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

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Published on: July 5, 2024

Heat production in a stochastic system with nonlinear time-delayed feedback.

Robin A Kopp¹, Sabine H L Klapp¹

¹Institut für Theoretische Physik, <a href="https://ror.org/03v4gjf40">Technische Universität Berlin</a>, Hardenbergstraße 36, D-10623 Berlin, Germany.

Physical Review. E

|December 18, 2024

Summary

This summary is machine-generated.

This study explores heat production in particle motion driven by time-delayed feedback. Non-zero heat is generated even below the persistent motion threshold, revealing the system

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Area of Science:

Statistical Physics
Nonlinear Dynamics
Stochastic Processes

Background:

Repulsive, nonlinear, time-delayed feedback can induce persistent motion in particles.
Understanding heat production is crucial for characterizing nonequilibrium systems.

Purpose of the Study:

Investigate heat production rates around the threshold for persistent motion.
Analyze the influence of feedback parameters on heat generation.

Main Methods:

Numerical simulations of particle motion.
Analytical methods including linearized delayed systems and small-delay approximations.

Main Results:

A nonzero average heat production rate is observed below the persistent motion threshold.
Heat production significantly increases beyond the threshold, peaking with delay time.
Dissipated heat distribution is non-Gaussian, differing from constant-force scenarios.

Conclusions:

Time-delayed feedback drives nonequilibrium heat production even at low feedback levels.
The system's behavior near the persistent motion threshold is complex and depends on feedback characteristics.