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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Quantifying Mixing using Magnetic Resonance Imaging
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Hyperuniform mixing of binary active spinners.

Rui Liu1, Mingcheng Yang1,2, Ke Chen1,2

  • 1Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. lr@iphy.ac.cn.

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Summary
This summary is machine-generated.

Mixtures of spinning particles surprisingly do not separate. Rod-like spinners always mix, exhibiting global hyperuniformity, which can be tuned by density and driving forces.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Mixtures of self-spinning particles are typically expected to phase separate.
  • Understanding particle mixing and emergent properties is crucial in soft matter physics.

Purpose of the Study:

  • To investigate the mixing behavior of chiral dimer spinners.
  • To explore the phenomenon of global hyperuniformity in such systems.
  • To understand the underlying mechanisms and implications of this mixing behavior.

Main Methods:

  • Computer simulations of self-spinning dimer particles.
  • Analysis of structure factors and radial distribution functions.
  • Theoretical modeling using coupled density-oscillator theory.

Main Results:

  • Dimer spinners exhibit complete mixing, not phase separation, contrary to expectations.
  • The system displays global hyperuniformity, with the structure factor scaling as S(q → 0) ~ q^α.
  • Hyperuniformity is tunable via particle density and driving torques.
  • A competition between dynamical heterocoordination and effective attractions drives the mixing.
  • The system can be thermalized into an ideal solution, preventing multi-hyperuniformity.
  • Theoretical models explain the observed global hyperuniformity and scaling exponent.

Conclusions:

  • Chiral dimer spinners form globally hyperuniform mixtures, challenging conventional phase separation predictions.
  • The observed hyperuniformity offers a mechanism to regulate topological boundary flows in chiral systems.
  • This mixing behavior is robust and can be controlled, with implications for designing active matter systems.