Entropy production of a Brownian ellipsoid in the overdamped limit

Abstract

We analyze the translational and rotational motion of an ellipsoidal Brownian particle from the viewpoint of stochastic thermodynamics. The particle's Brownian motion is driven by external forces and torques and takes place in an heterogeneous thermal environment where friction coefficients and (local) temperature depend on space and time. Our analysis of the particle's stochastic thermodynamics is based on the entropy production associated with single particle trajectories. It is motivated by the recent discovery that the overdamped limit of vanishing inertia effects (as compared to viscous fricion) produces a so-called "anomalous" contribution to the entropy production, which has no counterpart in the overdamped approximation, when inertia effects are simply discarded. Here, we show that rotational Brownian motion in the overdamped limit generates an additional contribution to the "anomalous" entropy. We calculate its specific form by performing a systematic singular perturbation analysis for the generating function of the entropy production. As a side result, we also obtain the (well-known) equations of motion in the overdamped limit. We furthermore investigate the effects of particle shape and give explicit expressions of the "anomalous entropy" for prolate and oblate spheroids and for near-spherical Brownian particles.

17 pages, 1 fig

References in corpus (6)

• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• State-dependent diffusion: thermodynamic consistency and its path integral formulation
• The unlikely Carnot efficiency
• Fluctuation Relations for Diffusion Processes
• Hidden entropy production by fast variables
• Adaptation and irreversibility in microevolution

Cited by in corpus (12)

• Multiple-scale stochastic processes: decimation, averaging and beyond
• Anomalous fluxes in overdamped Brownian dynamics with Lorentz force
• Functionals in stochastic thermodynamics: how to interpret stochastic integrals
• Solving non-linear Kolmogorov equations in large dimensions by using deep learning: a numerical comparison of discretization schemes
• Quantifying the validity and breakdown of the overdamped approximation in stochastic thermodynamics: Theory and experiment
• Martingale structure for general thermodynamic functionals of diffusion processes under second-order averaging
• Transport and diffusion of paramagnetic ellipsoidal particles in a rotating magnetic field
• Diffusion of a Brownian ellipsoid in a force field
• Phase transitions in the mini-batch size for sparse and dense two-layer neural networks
• Entropy Anomaly in Langevin-Kramers Dynamics with a Temperature Gradient, Matrix Drag, and Magnetic Field
• Directional Transport of Propelled Brownian Particles Confined in a Smooth Corrugated Channel with Colored Noise
• A Rayleigh criterion for mechanical instability: inducing activity by chemo-mechanical coupling