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

Per A. Löthman, Tijmen A.G. Hageman, Michael C. Elwenspoek, Gijs J.M. Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann

Research output: Contribution to journalArticleAcademicpeer-review

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.

Original languageEnglish
Article number1900963
Number of pages11
JournalAdvanced materials interfaces
Early online date18 Jul 2019
DOIs
Publication statusE-pub ahead of print/First online - 18 Jul 2019

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Kinetic energy
Self assembly
Turbulence
Thermodynamics
Turbulent flow
Magnets
Flow fields
Anisotropy
Statistics

Keywords

  • magnetics
  • self-assembly
  • thermodynamic
  • three-dimensional
  • turbulence

Cite this

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title = "A Thermodynamic Description of Turbulence as a Source of Stochastic Kinetic Energy for 3D Self-Assembly",
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.",
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A Thermodynamic Description of Turbulence as a Source of Stochastic Kinetic Energy for 3D Self-Assembly. / Löthman, Per A.; Hageman, Tijmen A.G.; Elwenspoek, Michael C.; Krijnen, Gijs J.M.; Mastrangeli, Massimo; Manz, Andreas; Abelmann, Leon.

In: Advanced materials interfaces, 18.07.2019.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Krijnen, Gijs J.M.

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AU - Manz, Andreas

AU - Abelmann, Leon

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