A Thermodynamic Description of Turbulence as a Source of Stochastic Kinetic Energy for 3D Self‐Assembly

Journal article (2020)

Authors

P Löthman University of Twente, Korean Institute of Science and Technology - Europe
Tijmen Hageman University of Twente, Korean Institute of Science and Technology - Europe
Miko Elwenspoek University of Twente
Gijs J.M. Krijnen University of Twente
Massimo Mastrangeli Electronic Components, Technology and Materials - EEMCS
Andreas Manz Korean Institute of Science and Technology - Europe
Leon Abelmann University of Twente, Korean Institute of Science and Technology - Europe
Research Group
Electronic Components, Technology and Materials (EEMCS) (TU Delft)
Copyright: © 2020 Per A. Löthman, Tijmen A.G. Hageman, Miko C. Elwenspoek, Gijs J.M. Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
DOI
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https://doi.org/10.1002/admi.201900963
Self-assembly Turbulence Thermodynamic Magnetics Three-dimensional
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Published Date

06-03-2020

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Microelectronics

Research Group

Electronic Components, Technology and Materials

Abstract

The extent to which one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for 3D self‐assembly of magnetically interacting macroscopic particles is investigated. It is confirmed that the speed of the objects in the flow field generated in this system obeys the Maxwell–Boltzmann distribution, and their random walk can be defined by a diffusion coefficient following from the Einstein relation. However, it is discovered that the analogy with Brownian dynamics breaks down when considering the directional components of the velocity. For the vectorial components, neither the equipartition theorem nor the Einstein relation is obeyed. Moreover, the kinetic energy estimated from the random walk of individual objects is one order of magnitude higher than the value estimated from Boltzmann statistics on the interaction between two spheres with embedded magnets. These results show that introducing stochastic kinetic energy into a self‐assembly process by means of turbulent flow can to a great extent be described by standard thermodynamic theory, but anisotropies and the specific nature of the interactions need to be taken into account.