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November 17, 2025Theory of Probability and Mathematical Statistics

Collision location for hard spheres in stationary regime

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Authors

KBKrzysztof BurdzySCShuntao ChenKBKrzysztof Burdzy

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Overview

Analysis reveals that collision probability decreases to zero in hard spheres as distance approaches zero, indicating dynamic interactions.

Key Points

  • Collision probability declines to zero as distance approaches zero in hard spheres, suggesting rare events in dynamics.
  • Hard spheres modeled with independent normal velocities show significant distance effects on collision outcomes.
  • Observational analysis of collision dynamics describes a scenario with hard spheres and their interactions based on initial conditions.
  • Findings highlight the randomness of collision locations, which are symmetrically distributed around the origin.

Cite This Study

Burdzy et al. (2025) studied this question.

synapsesocial.com/papers/692509e3c0ce034ddc35238ahttps://doi.org/10.1090/tpms/1240
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