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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Glassy systems near phase transitions exhibit complex dynamics.
  • Current models rely on parameters for time and length scales of particle jumps.
  • These parameters often require extensive fitting and lack universality.

Purpose of the Study:

  • To introduce a model-independent method for detecting particle jumps in glassy dynamics.
  • To determine the characteristic time and length scales of particle jumps without free parameters.
  • To provide a generalizable approach for analyzing hopping motion.

Main Methods:

  • Utilized the theory of the inspection paradox.
  • Analyzed individual particle trajectories.
  • Developed a method to extract jump scales directly from trajectory data.

Main Results:

  • Successfully detected particle jumps without relying on predefined models.
  • Revealed the time and length scales associated with particle jumps.
  • Demonstrated a parameter-free approach to quantifying glassy dynamics.

Conclusions:

  • The proposed method offers a simple yet generalizable tool for studying dynamics in glassy systems.
  • It bypasses the need for model-dependent parameter determination.
  • Applicable to a wide range of systems, including experimental observations of hopping motion.