Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Statistical Physics far from Thermal Equilibrium

DY 9.8: Talk

Monday, March 17, 2025, 17:15–17:30, H47

How topologically distinct non-equilibrium currents imprint on projected observables — •Felix Tippner and Aljaz Godec — Max Planck Institute for Multidisciplinary Sciences, Göttingen, Germany

Almost all measurements track only a limited subset of degrees of freedom simultaneously. Mathematically, the higher-dimensional stochastic process governing a physical system (e.g., the dynamics of protein conformation) is accessible only through observables of projected dynamics, which, in practice, are constrained by strict experimental limitations. These projections not only introduce or amplify non-Markovian effects but also obscure features such as irreversible currents (e.g., driven versus non-driven systems) or barriers in the underlying energy landscape. In our work we investigate how topological and geometric properties imprint on projected dynamics that appear similar (i.e., those exhibiting the same observed steady state), both in and out of equilibrium. This is achieved by examining path-wise observables, such as empirical densities and currents inferred from projected trajectories, through a detailed analysis of their fluctuations and (cross-)correlations.

Keywords: Stochastic Processes; Non-Markovian; Fluctuations; Projections