Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Dynamics of inelastic collapse.

T W Burkhardt1

  • 1Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 17, 2001
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Two-dimensional critical systems with mixed boundary conditions: Exact Ising results from conformal invariance and boundary-operator expansions.

Physical review. E·2021
Same author

Casimir interaction of rodlike particles in a two-dimensional critical system.

Physical review. E·2016
Same author

Extreme statistics for time series: distribution of the maximum relative to the initial value.

Physical review. E, Statistical, nonlinear, and soft matter physics·2007
Same author

Helical polymer in cylindrical confining geometries.

Physical review. E, Statistical, nonlinear, and soft matter physics·2004
Same author

Free energy of a long, flexible, self-avoiding polymer chain in a tube.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same author

Semiflexible polymer in a uniform force field in two dimensions.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001

This study investigates particle behavior with inelastic collisions. For coefficients of restitution below a critical value, particles exhibit inelastic collapse, localizing at the boundary.

Area of Science:

  • Statistical physics
  • Dynamical systems
  • Nonlinear dynamics

Background:

  • Particles subjected to random acceleration and boundary interactions exhibit complex behaviors.
  • Inelastic collisions at boundaries can lead to phenomena like localization or absorption.
  • Previous work by Cornell, Swift, and Bray identified a critical coefficient of restitution for inelastic collapse.

Purpose of the Study:

  • To exactly calculate the persistence exponent for a particle undergoing inelastic collisions.
  • To analyze particle behavior under partial-survival boundary conditions (elastic reflection or absorption).
  • To verify the Swift-Bray conjecture relating persistence exponents under different boundary conditions.

Main Methods:

  • Modeling particle dynamics with Gaussian white noise acceleration on a half-line.

Related Experiment Videos

  • Analyzing inelastic collisions using a coefficient of restitution (r).
  • Deriving exact expressions for persistence exponents (theta(r) and phi(p)).

    • Main Results:

    • The probability of particle survival decays as t^(-theta(r)) for long times, with theta(r) calculated exactly.
    • For partial-survival conditions, the analogous persistence exponent phi(p) was derived.
    • The derived exponents satisfy the Swift-Bray conjecture: theta(r) = phi(r^(2*theta(r))).

    Conclusions:

    • Exact exponents for particle persistence under inelastic and partial-survival boundary conditions were determined.
    • The study confirms the Swift-Bray conjecture, providing a deeper understanding of boundary localization phenomena.
    • The findings are relevant to systems exhibiting random motion and energy loss at boundaries.