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In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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Universal scaling in active single-file dynamics.

Pritha Dolai1, Arghya Das, Anupam Kundu

  • 1International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Hesaraghatta Hobli, Bengaluru North, Bangalore, Karnataka, India560089. pritha.dolai@icts.res.in vijaykumar@icts.res.in.

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Summary
This summary is machine-generated.

Active particles form dynamic clusters at high activity, exhibiting universal scaling laws in their movement and interactions. This behavior is consistent across run-and-tumble, active Brownian, and active Ornstein-Uhlenbeck particle models.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Active particles exhibit complex behaviors not seen in equilibrium systems.
  • Understanding collective dynamics in active matter is crucial for fields like biophysics and materials science.

Purpose of the Study:

  • To investigate the single-file dynamics of three distinct active particle models.
  • To identify universal scaling behaviors in particle clustering and motion.
  • To analyze the relationship between particle activity, density, and emergent collective phenomena.

Main Methods:

  • Simulations of run-and-tumble particles, active Brownian particles, and active Ornstein-Uhlenbeck particles.
  • Analysis of cluster size distribution, particle velocity, and density correlations.
  • Derivation of scaling functions for emergent dynamics.

Main Results:

  • At high activity, particles form motile clusters without bulk phase-segregation.
  • A universal scaling function describes cluster size distribution across models.
  • Cluster velocities are non-Gaussian, and their dynamics explain tagged particle displacement scaling.
  • Static density correlations show clustering signatures, while dynamical correlations exhibit non-diffusive scaling.

Conclusions:

  • A universal scaling behavior governs the single-file dynamics of interacting active particles.
  • Collective dynamics and clustering are key emergent properties at high particle activity.
  • The findings provide insights into self-organization and emergent phenomena in active matter systems.