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  11. Spontaneous Generation Of Angular Momentum In Chiral Active Crystals

Spontaneous generation of angular momentum in chiral active crystals

Umberto Marini Bettolo Marconi1, Lorenzo Caprini2

  • 1School of Sciences and Technology, University of Camerino, Via Madonna delle Carceri, I-62032 Camerino, Italy.

Soft Matter
|March 12, 2025

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View abstract on PubMed

Summary
This summary is machine-generated.

Chiral active crystals exhibit reduced fluctuations and generate net angular momentum due to particle handedness. This chirality-driven torque influences entropy production and crystal dynamics, as analytically predicted.

Area of Science:

  • Physics
  • Soft Matter Physics
  • Active Matter

Background:

  • Active matter systems exhibit self-propulsion and energy dissipation.
  • Chiral active particles possess intrinsic handedness, influencing their interactions and collective behavior.
  • Crystalline order can emerge in active matter systems, leading to unique dynamic properties.

Purpose of the Study:

  • To investigate the role of chirality in the dynamics of a two-dimensional active crystal.
  • To analyze the emergence of angular momentum and its dependence on chirality.
  • To understand the impact of chirality on fluctuations, correlations, and entropy production.

Main Methods:

  • Theoretical modeling of a two-dimensional chiral active crystal.
  • Analysis of particle interactions via harmonic potentials.

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  • Analytical prediction and investigation of dynamic properties in Fourier and real space.
  • Path-integral analysis for entropy production.

    • Main Results:

    • Chirality reduces displacement and velocity fluctuations in the active crystal.
    • Chirality induces cross-spatial correlations in velocity components.
    • A net angular momentum emerges, driven by chiral torque, with non-monotonic dependence on chirality.
    • A non-dispersive peak in the displacement spectrum is induced by chirality.

    Conclusions:

    • Chirality fundamentally alters the behavior of active crystals, distinguishing them from non-chiral counterparts.
    • The generated angular momentum is a direct consequence of chiral active forces and impacts system entropy.
    • Chirality governs the dynamic properties, including spectral features and time-dependent correlations.