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Related Experiment Videos

Shattering transitions in collision-induced fragmentation.

P L Krapivsky1, E Ben-Naim

  • 1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA. paulk@bu.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary
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Collision-induced fragmentation kinetics reveal a shattering transition where mass is lost to dust. The transition

Area of Science:

  • Physics
  • Physical Chemistry

Background:

  • Collision-induced fragmentation is a key process in various physical systems.
  • Understanding the kinetics and mass distribution of fragments is crucial for modeling these systems.

Purpose of the Study:

  • To analytically investigate the kinetics of nonlinear collision-induced fragmentation.
  • To characterize the fragment mass distribution and the nature of the shattering transition.

Main Methods:

  • Analytical derivation of fragment mass distribution.
  • Utilizing traveling wave behavior to model the system.
  • Analyzing the shattering transition based on fragmentation processes.

Main Results:

  • A shattering transition occurs, leading to mass loss as infinitesimal fragments (dust).

Related Experiment Videos

  • The transition's nature (continuous or discontinuous) depends on which fragment splits.
  • Fragment mass distribution diverges algebraically at the transition point (c(m) ~ m^-1.20191).

    • Conclusions:

    • The study provides an analytical framework for understanding fragmentation kinetics.
    • The findings elucidate the distinct behaviors of continuous and discontinuous shattering transitions.
    • The results offer insights into mass loss mechanisms in fragmentation processes.