Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 43: Poster: Statistical Physics
DY 43.17: Poster
Wednesday, March 11, 2026, 15:00–18:00, P5
Energetics of coupled stochastic circular limit-cycle oscillators — •Anton Francis Burnet1,2, Vansh Kharbanda1,2, David Tobias1, and Benedikt Sabass3,1,2 — 1Faculty of Physics and Center for NanoScience, Ludwig-Maximilians-Universität München, 80752 Munich, Germany — 2Department of Veterinary Sciences, Ludwig-Maximilians-Universität München, 80752 Munich, Germany — 3Fakultät Physik, Technische Universität Dortmund, 44227 Dortmund, Germany
Stochastic oscillations serve important functions in many biological systems, including hair-cell bundles of the inner ear and neuronal activity. Sustaining coherent cycles in noisy environments requires continuous energy dissipation, quantified by the steady-state entropy production rate (EPR). We study an idealized, analytically tractable model of a stochastic circular limit cycle and examine how mutual diffusive coupling in pairs and populations alters dissipation. Three factors contribute to the EPR: intrinsic frequency asynchrony, tangential velocity fluctuations, and mean tangential velocity. The dynamics are characterized by an effective temperature, which depends on diffusion and intrinsic relaxation timescales. For radial (amplitude), phase (Kuramoto-like), and Cartesian couplings, we derive analytical expressions for the EPR and confirm them numerically. Varying the effective temperature and system size strongly influences how the EPR depends on coupling strength and, in some cases, results in qualitatively distinct behaviors. Moreover, the coupling types affect the tangential velocity distributions differently.
Keywords: entropy production rate; nonequilibrium; limit cycle; stochastic oscillations