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Entropy production of a Brownian ellipsoid in the overdamped limit
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, School of Computer Science and Communication (CSC), Computational Science and Technology (CST). KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. Aalto University, Espoo, Finland.
2016 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 93, no 1, 012132Article in journal (Refereed) PublishedText
Abstract [en]

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.

Place, publisher, year, edition, pages
American Physical Society , 2016. Vol. 93, no 1, 012132
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-182156DOI: 10.1103/PhysRevE.93.012132ISI: 000368517500009ScopusID: 2-s2.0-84955601152OAI: oai:DiVA.org:kth-182156DiVA: diva2:904959
Note

QC 20160220

Available from: 2016-02-20 Created: 2016-02-16 Last updated: 2016-02-20Bibliographically approved

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Eichhorn, RalfAurell, Erik
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Nordic Institute for Theoretical Physics NORDITAComputational Science and Technology (CST)ACCESS Linnaeus Centre
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