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Diffusion of a Brownian ellipsoid in a force field
KTH, Skolan för datavetenskap och kommunikation (CSC), Beräkningsvetenskap och beräkningsteknik (CST).
Visa övriga samt affilieringar
2016 (Engelska)Ingår i: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 114, nr 3, artikel-id 30005Artikel i tidskrift (Refereegranskat) Published
Resurstyp
Text
Abstract [en]

We calculate the effective long-term convective velocity and dispersive motion of an ellipsoidal Brownian particle in three dimensions when it is subjected to a constant external force. This long-term motion results as a "net" average behavior from the particle rotation and translation on short time scales. Accordingly, we apply a systematic multi-scale technique to derive the effective equations of motion valid on long times. We verify our theoretical results by comparing them to numerical simulations.

Ort, förlag, år, upplaga, sidor
2016. Vol. 114, nr 3, artikel-id 30005
Nationell ämneskategori
Fysik
Identifikatorer
URN: urn:nbn:se:kth:diva-190517DOI: 10.1209/0295-5075/114/30005ISI: 000379522200005Scopus ID: 2-s2.0-84975842477OAI: oai:DiVA.org:kth-190517DiVA, id: diva2:953307
Forskningsfinansiär
Vetenskapsrådet, 621-2012-2982Vetenskapsrådet, 621-2013-3956
Anmärkning

QC 20160817

Tillgänglig från: 2016-08-17 Skapad: 2016-08-12 Senast uppdaterad: 2017-11-28Bibliografiskt granskad
Ingår i avhandling
1. Dynamics and Thermodynamics of Translational and Rotational Diffusion Processes Driven out of Equilibrium
Öppna denna publikation i ny flik eller fönster >>Dynamics and Thermodynamics of Translational and Rotational Diffusion Processes Driven out of Equilibrium
2016 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

Diffusion processes play an important role in describing systems in many fields of science, as in physics, biology, finance and social science. One of the most famous examples of the diffusion process is the Brownian motion. 

 

At mesoscopic scale, the Brownian theory describes the very irregular and animated motion of a particle suspended in a fluid. In this thesis, the dynamics and thermodynamics of diffusion processes driven out of equilibrium, at mesoscopic scale, are investigated. 

 

For dynamics, the theory of Brownian motion for a particle which is able to rotate and translate in three dimensions is presented. 

Moreover, it is presented how to treat diffusion process on n-dimensional Riemann manifolds defining the Kolmogorov forward equation on such manifold.

 

For thermodynamics, this thesis describes how to define thermodynamics quantities at mesoscopic scale using the tools of Brownian theory. The theory

of stochastic energetics and how to compute entropy production along a trajectory are presented introducing the new field of stochastic thermodynamics.

Moreover, the "anomalous entropy production" is introduced. This anomaly in the entropy production arises when diffusion processes are driven out of equilibrium by space dependent temperature field. The presence of this term expresses the fallacy of the overdamped approximation in computing thermodynamic quantities. 

 

In the first part of the thesis the translational and rotational motion of an ellipsoidal particle in a heterogeneous thermal environment, with a space-dependent temperature field, is analyzed from the point of view of stochastic thermodynamics. 

 

In the final part of the thesis, the motion of a Brownian rigid body three-dimensional space in a homogeneous thermal environment under the presence of an external force field is analyzed, using multiscale method and homogenization. 

Ort, förlag, år, upplaga, sidor
KTH Royal Institute of Technology, 2016. s. 97
Serie
TRITA-CSC-A, ISSN 1653-5723 ; 2017:13
Nyckelord
Translational and Rotational Diffusion Processes, Brownian
Nationell ämneskategori
Fysik
Forskningsämne
Fysik
Identifikatorer
urn:nbn:se:kth:diva-207039 (URN)978-91-7729-405-4 (ISBN)
Disputation
2017-06-15, FD5, D5:3008,, 5th floor, Roslagstullsbacken 12, AlbaNova, Stockholm, 10:00 (Engelska)
Opponent
Handledare
Anmärkning

QC 20170515

Tillgänglig från: 2017-05-15 Skapad: 2017-05-12 Senast uppdaterad: 2017-05-22Bibliografiskt granskad

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Aurell, ErikBo, StefanoEichhorn, Ralf
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Beräkningsvetenskap och beräkningsteknik (CST)
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Europhysics letters
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