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Negative friction memory induces persistent motion.

Bernhard G Mitterwallner1, Laura Lavacchi2, Roland R Netz2

  • 1Fachbereich Physik, Freie Universität Berlin, 14195, Berlin, Germany. bmitt@zedat.fu-berlin.de.

The European Physical Journal. E, Soft Matter
|October 25, 2020
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Summary
This summary is machine-generated.

We studied random motion using a generalized Langevin equation. Negative friction memory created a transient persistent regime in mean-square displacement, important for biological systems.

Keywords:
Flowing Matter: Active Fluids

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Biophysics

Background:

  • The generalized Langevin equation (GLE) models complex dynamics beyond simple Brownian motion.
  • Memory functions in GLE capture the influence of past interactions on current motion.
  • Understanding anomalous diffusion is crucial for fields like biophysics and active matter.

Purpose of the Study:

  • To investigate the mean-square displacement (MSD) in systems governed by GLE with multi-timescale memory functions.
  • To analyze the impact of negative friction memory contributions on particle dynamics.
  • To explore the emergence of enhanced transient persistent regimes in random motion.

Main Methods:

  • Modeling memory kernels with a delta peak and a single exponential.
  • Modeling memory kernels with the sum of two exponentials.
  • Analyzing the mean-square displacement (MSD) under the influence of competing positive and negative friction memory.

Main Results:

  • The MSD exhibits an enhanced transient persistent regime when competing positive and negative friction memory contributions are present.
  • The specific form of the memory kernel (delta peak + exponential vs. sum of two exponentials) influences the MSD behavior.
  • Negative friction memory plays a key role in generating this anomalous diffusion behavior.

Conclusions:

  • The interplay of different timescales and friction signs in memory functions can lead to complex diffusion patterns.
  • The observed enhanced transient persistent regime in MSD is relevant for understanding biological motility.
  • This work provides insights into the dynamics of active matter systems driven by complex fluctuating forces.