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DY: Fachverband Dynamik und Statistische Physik
DY 63: Nonlinear Stochastic Systems
DY 63.3: Vortrag
Freitag, 13. März 2026, 12:00–12:15, ZEU/0118
Stochastic thermodynamics of bifurcations in all-to-all interacting systems — •Ankita Gupta1 and Aljaž Godec1,2 — 1Mathematical Physics and Stochastic Dynamics, Institute of Physics, University of Freiburg, 79104 Freiburg im Breisgau, Germany — 2Mathematical bioPhysics Group, Max Planck Institute for Multidisciplinary Sciences, Am Fassberg 11, 37077 Göttingen, Germany
All-to-all interacting systems provide a fundamental framework for understanding cooperative behavior and synchronization. Here, we examine the stochastic thermodynamics of such systems in continuous space as they are driven across bifurcation. Our analysis centers on the total entropy production rate (tEPR), which quantifies the thermodynamic cost of maintaining or transitioning between different dynamical phases. Focusing on the microscopically reversible Desai-Zwanzig model and irreversible Bonilla-Casado-Morillo models, we investigate how the tEPR depends on microscopic parameters-including interaction strength, temperature, and external driving. Leveraging recent advances on the Onsager-Machlup functional for McKean-Vlasov stochastic differential equations, we study path measures and characterize dynamical fluctuations near criticality. Through a combination of phase-plane methods and numerical simulations, we reveal the structure and nature of the bifurcations across a range of parameter regimes.
Keywords: Stochastic thermodynamics; Bifurcations; all-to-all interacting systems; McKean--Vlasov dynamics; entropy production