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Tijmen A G Hageman - One of the best experts on this subject based on the ideXlab platform.

  • a thermodynamic description of turbulence as a source of stochastic kinetic energy for 3d self assembly
    Advanced Materials Interfaces, 2020
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, Gijs Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
    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.

  • a thermodynamic description of turbulence as a source of stochastic kinetic energy for 3d self assembly
    arXiv: Applied Physics, 2019
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, Gijs Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
    Abstract:

    We investigate to what extent one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for three-dimensional self-assembly of magnetically interacting macroscopic particles. We confirm that the speed of the objects in the flow field generated in our system obeys the Maxwell--Boltzmann Distribution, and their random walk can be defined by a diffusion coefficient following from the Einstein relation. However, we 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.

  • macroscopic equivalence for microscopic motion in a turbulence driven three dimensional self assembly reactor
    Journal of Applied Physics, 2018
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, M Dirnberger, Andreas Manz
    Abstract:

    We built and characterised a macroscopic self-assembly reactor that agitates magnetic, centimeter-sized particles with a turbulent water flow. By scaling up the self-assembly processes to the centimeter-scale, the characteristic time constants also drastically increase. This makes the system a physical simulator of microscopic self-assembly, where the interaction of inserted particles is easily observable. Trajectory analysis of single particles reveals their velocity to be a Maxwell-Boltzmann Distribution and it shows that their average squared displacement over time can be modelled by a confined random walk model, demonstrating a high level of similarity to the Brownian motion. The interaction of two particles has been modelled and verified experimentally by observing the distance between two particles over time. The disturbing energy (analogue to temperature) that was obtained experimentally increases with sphere size and differs by an order of magnitude between single-sphere and two-sphere systems (ap...

  • macroscopic equivalence for microscopic motion in a turbulence driven three dimensional self assembly reactor
    arXiv: Soft Condensed Matter, 2017
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, M Dirnberger, Andreas Manz
    Abstract:

    We built and characterised a macroscopic self-assembly reactor that agitates magnetic, centimeter-sized particles with a turbulent water flow. By scaling up the self-assembly processes to the centimeter-scale, the characteristic time constant scale also drastically increases. This makes the system a physical simulator of microscopic self-assembly, where the interaction of inserted particles are easily observable. Trajectory analysis of single particles reveals their velocity to be a Maxwell-Boltzmann Distribution and it shows that their average squared displacement over time can be modelled by a confined random walk model, demonstrating a high level of similarity to Brownian motion. The interaction of two particles has been modelled and verified experimentally by observing the distance between two particles over time. The disturbing energy (analogue to temperature) that was obtained experimentally increases with sphere size, and differs by an order of magnitude between single-sphere and two-sphere systems (approximately 80 $\mathrm{\mu J}$ versus 6.5 $\mathrm{\mu J}$, respectively).

Peter J Skrdla - One of the best experts on this subject based on the ideXlab platform.

Per A Lothman - One of the best experts on this subject based on the ideXlab platform.

  • a thermodynamic description of turbulence as a source of stochastic kinetic energy for 3d self assembly
    Advanced Materials Interfaces, 2020
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, Gijs Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
    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.

  • a thermodynamic description of turbulence as a source of stochastic kinetic energy for 3d self assembly
    arXiv: Applied Physics, 2019
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, Gijs Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
    Abstract:

    We investigate to what extent one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for three-dimensional self-assembly of magnetically interacting macroscopic particles. We confirm that the speed of the objects in the flow field generated in our system obeys the Maxwell--Boltzmann Distribution, and their random walk can be defined by a diffusion coefficient following from the Einstein relation. However, we 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.

  • macroscopic equivalence for microscopic motion in a turbulence driven three dimensional self assembly reactor
    Journal of Applied Physics, 2018
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, M Dirnberger, Andreas Manz
    Abstract:

    We built and characterised a macroscopic self-assembly reactor that agitates magnetic, centimeter-sized particles with a turbulent water flow. By scaling up the self-assembly processes to the centimeter-scale, the characteristic time constants also drastically increase. This makes the system a physical simulator of microscopic self-assembly, where the interaction of inserted particles is easily observable. Trajectory analysis of single particles reveals their velocity to be a Maxwell-Boltzmann Distribution and it shows that their average squared displacement over time can be modelled by a confined random walk model, demonstrating a high level of similarity to the Brownian motion. The interaction of two particles has been modelled and verified experimentally by observing the distance between two particles over time. The disturbing energy (analogue to temperature) that was obtained experimentally increases with sphere size and differs by an order of magnitude between single-sphere and two-sphere systems (ap...

  • macroscopic equivalence for microscopic motion in a turbulence driven three dimensional self assembly reactor
    arXiv: Soft Condensed Matter, 2017
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, M Dirnberger, Andreas Manz
    Abstract:

    We built and characterised a macroscopic self-assembly reactor that agitates magnetic, centimeter-sized particles with a turbulent water flow. By scaling up the self-assembly processes to the centimeter-scale, the characteristic time constant scale also drastically increases. This makes the system a physical simulator of microscopic self-assembly, where the interaction of inserted particles are easily observable. Trajectory analysis of single particles reveals their velocity to be a Maxwell-Boltzmann Distribution and it shows that their average squared displacement over time can be modelled by a confined random walk model, demonstrating a high level of similarity to Brownian motion. The interaction of two particles has been modelled and verified experimentally by observing the distance between two particles over time. The disturbing energy (analogue to temperature) that was obtained experimentally increases with sphere size, and differs by an order of magnitude between single-sphere and two-sphere systems (approximately 80 $\mathrm{\mu J}$ versus 6.5 $\mathrm{\mu J}$, respectively).

B Ricci - One of the best experts on this subject based on the ideXlab platform.

  • helioseismology can test the maxwell boltzmann Distribution
    Physics Letters B, 1998
    Co-Authors: S Deglinnocenti, G Fiorentini, M Lissia, Piero Quarati, B Ricci
    Abstract:

    Abstract Nuclear reactions in stars occur between nuclei in the high-energy tail of the energy Distribution and are sensitive to possible deviations from the standard equilibrium thermal-energy Distribution. We are able to derive strong constraints on such deviations by using the detailed helioseismic information of the solar structure. If a small deviation is parameterized with a factor exp{−δ(E/kT)2}, we find that δ should lie between −0.005 and +0.002. However, even values of δ as small as 0.003 would still give important effects on the neutrino fluxes.

  • helioseismology can test the maxwell boltzmann Distribution
    arXiv: Astrophysics, 1998
    Co-Authors: S Deglinnocenti, G Fiorentini, M Lissia, Piero Quarati, B Ricci
    Abstract:

    Nuclear reactions in stars occur between nuclei in the high-energy tail of the energy Distribution and are sensitive to possible deviations from the standard equilibrium thermal-energy Distribution. We are able to derive strong constraints on such deviations by using the detailed helioseismic information of the solar structure. If a small deviation is parameterized with a factor exp{-delta*(E/kT)^2}, we find that delta should lie between -0.005 and +0.002. However, even values of delta as small as 0.003 would still give important effects on the neutrino fluxes.

Andreas Manz - One of the best experts on this subject based on the ideXlab platform.

  • a thermodynamic description of turbulence as a source of stochastic kinetic energy for 3d self assembly
    Advanced Materials Interfaces, 2020
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, Gijs Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
    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.

  • a thermodynamic description of turbulence as a source of stochastic kinetic energy for 3d self assembly
    arXiv: Applied Physics, 2019
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, Gijs Krijnen, Massimo Mastrangeli, Andreas Manz, Leon Abelmann
    Abstract:

    We investigate to what extent one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for three-dimensional self-assembly of magnetically interacting macroscopic particles. We confirm that the speed of the objects in the flow field generated in our system obeys the Maxwell--Boltzmann Distribution, and their random walk can be defined by a diffusion coefficient following from the Einstein relation. However, we 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.

  • macroscopic equivalence for microscopic motion in a turbulence driven three dimensional self assembly reactor
    Journal of Applied Physics, 2018
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, M Dirnberger, Andreas Manz
    Abstract:

    We built and characterised a macroscopic self-assembly reactor that agitates magnetic, centimeter-sized particles with a turbulent water flow. By scaling up the self-assembly processes to the centimeter-scale, the characteristic time constants also drastically increase. This makes the system a physical simulator of microscopic self-assembly, where the interaction of inserted particles is easily observable. Trajectory analysis of single particles reveals their velocity to be a Maxwell-Boltzmann Distribution and it shows that their average squared displacement over time can be modelled by a confined random walk model, demonstrating a high level of similarity to the Brownian motion. The interaction of two particles has been modelled and verified experimentally by observing the distance between two particles over time. The disturbing energy (analogue to temperature) that was obtained experimentally increases with sphere size and differs by an order of magnitude between single-sphere and two-sphere systems (ap...

  • macroscopic equivalence for microscopic motion in a turbulence driven three dimensional self assembly reactor
    arXiv: Soft Condensed Matter, 2017
    Co-Authors: Per A Lothman, Tijmen A G Hageman, Miko Elwenspoek, M Dirnberger, Andreas Manz
    Abstract:

    We built and characterised a macroscopic self-assembly reactor that agitates magnetic, centimeter-sized particles with a turbulent water flow. By scaling up the self-assembly processes to the centimeter-scale, the characteristic time constant scale also drastically increases. This makes the system a physical simulator of microscopic self-assembly, where the interaction of inserted particles are easily observable. Trajectory analysis of single particles reveals their velocity to be a Maxwell-Boltzmann Distribution and it shows that their average squared displacement over time can be modelled by a confined random walk model, demonstrating a high level of similarity to Brownian motion. The interaction of two particles has been modelled and verified experimentally by observing the distance between two particles over time. The disturbing energy (analogue to temperature) that was obtained experimentally increases with sphere size, and differs by an order of magnitude between single-sphere and two-sphere systems (approximately 80 $\mathrm{\mu J}$ versus 6.5 $\mathrm{\mu J}$, respectively).