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Super-Gaussian, superdiffusive transport of multimode active matter.

Seungsoo Hahn1,2, Sanggeun Song2,3,4, Gil-Suk Yang2,4

  • 1Da Vinci College of General Education, Chung-Ang University, Seoul 06974, Korea.

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Living matter exhibits multimode transport, switching between active and passive motion. This reversible transition causes super-Gaussian dynamics, with displacement distributions depending on the active-to-passive motion ratio.

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Area of Science:

  • Physics
  • Biophysics
  • Statistical Mechanics

Background:

  • Living matter, including cells and motor proteins, displays complex transport behaviors.
  • This transport often involves transitions between active (self-propelled) and passive (random) motion modes.

Purpose of the Study:

  • To investigate an exactly solvable model of multimode active matter with alternating active and passive motion.
  • To understand the emergence of super-Gaussian transport dynamics in such systems.

Main Methods:

  • Development of an exactly solvable theoretical model for multimode active matter.
  • Analysis of displacement distributions and mean-square displacement dynamics.

Main Results:

  • Reversible transitions between passive and active modes induce super-Gaussian transport.
  • The ratio of active to passive motion populations dictates the non-Gaussian nature of displacements.
  • Displacement distributions can shift from sub-Gaussian to super-Gaussian over time under specific conditions.
  • The model exhibits transient superdiffusion, returning to diffusive behavior at short and long times.

Conclusions:

  • The study provides a theoretical framework for understanding complex transport in living matter.
  • The findings explain experimental observations of super-Gaussian dynamics.
  • The model is generalizable to various spatial dimensions and complex active matter systems.