Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions

Abstract

Identifying the origin of nonequilibrium characteristics in a generic interacting system having multiple degrees of freedom is a challenging task. In this context, information theoretic measures such as mutual information and related polymorphs offer valuable insights. Here, we explore these measures in a minimal experimental model consisting of two hydrodynamically coupled colloidal particles, where a nonequilibrium drive is introduced via an exponentially correlated noise acting on one of the particles. We show that the information-theoretic tools considered enable a systematic, data-driven dissection of information flow within the system. These measures allow us to identify the driving node and reconstruct the directional dependencies between particles. Notably, they help explain a recently observed, counterintuitive trend in the dependence of irreversibility on interaction strength under coarse-graining (B. Das et.al., arXiv:2405.00800 (2024)). Finally, our results demonstrate how directional information measures can uncover the hidden structure of nonequilibrium dynamics and provide a framework for studying similar effects in more complex systems.

17 pages, 11 figures

References in corpus (29)

• Motility-Induced Phase Separation
• Non-reciprocal phase transitions
• Irreversible entropy production, from quantum to classical
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Maxwell's demon in biochemical signal transduction with feedback loop
• Irreversibility, heat and information flows induced by non-reciprocal interactions
• Multiple-scale stochastic processes: decimation, averaging and beyond
• Faster uphill relaxation in thermodynamically equidistant temperature quenches
• Long-range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions
• The fluctuation-dissipation relation: how does one compare correlation functions and responses?
• Thermodynamic Bound on the Asymmetry of Cross-Correlations
• Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways
• Mutual information disentangles interactions from changing environments
• Coarse-grained entropy production with multiple reservoirs: unraveling the role of time-scales and detailed balance in biology-inspired systems
• Odd mobility of a passive tracer in a chiral active fluid
• Quantitative analysis of non-equilibrium systems from short-time experimental data
• Information propagation in multilayer systems with higher-order interactions across timescales
• Thermodynamic Bounds on Symmetry Breaking in Linear and Catalytic Biochemical Systems
• Identifying delayed directional couplings with symbolic transfer entropy
• Tuning transduction from hidden observables to optimize information harvesting
• Path Weight Sampling: Exact Monte Carlo Computation of the Mutual Information between Stochastic Trajectories
• Enhanced directionality of active processes in a viscoelastic bath
• Flow of Energy and Information in Molecular Machines
• Inferring entropy production in anharmonic Brownian gyrators
• Response and flux of information in extended non-equilibrium dynamics
• Conceptual and practical approaches for investigating irreversible processes
• Engineered Swift Equilibration of brownian particles: consequences of hydrodynamic coupling
• Jensen bound for the entropy production rate in stochastic thermodynamics
• Role of interactions in non-equilibrium transformations