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

Deterministic diffusion in flower-shaped billiards.

Takahisa Harayama1, Rainer Klages, Pierre Gaspard

  • 1ATR Adaptive Communications Research Laboratories, 2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-02, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
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

Chargaff's second parity rule and the kinetics of DNA replication.

Journal of theoretical biology·2026
Same author

Diffusion in the inverted triangular soft Lorentz gas.

Physical review. E·2025
Same author

Anomalous Dynamics of Superparamagnetic Colloidal Microrobots with Tailored Statistics.

Small (Weinheim an der Bergstrasse, Germany)·2025
Same author

Understanding Influenza A Virus Particles Detaching from Reconstructed Cell Surfaces.

Nano letters·2025
Same author

Vacancy diffusion and the hydrodynamics of crystals.

Physical review. E·2025
Same author

Anomalous diffusion in the square soft Lorentz gas.

Physical review. E·2025
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

We developed a flower-shaped billiard model to investigate chaotic normal diffusion. Dynamical correlations are crucial for accurately predicting the diffusion coefficient

Area of Science:

  • Physics
  • Statistical Mechanics
  • Chaos Theory

Background:

  • Chaotic normal diffusion describes particle movement in complex systems.
  • Understanding parameter dependence is key to predicting diffusion behavior.
  • Existing models like the random walk approximation have limitations.

Purpose of the Study:

  • To investigate the irregular parameter dependence of chaotic normal diffusion.
  • To develop and analyze a novel flower-shaped billiard model.
  • To improve upon existing methods for calculating diffusion coefficients.

Main Methods:

  • Computer simulations of a flower-shaped billiard model.
  • Analysis of parameter-dependent diffusion coefficients.
  • Generalization of the random walk approximation using higher-order corrections, lattice gas methods, and Green-Kubo formulas.

Related Experiment Videos

Main Results:

  • The flower-shaped billiard model exhibits strong chaos for most parameters.
  • Improved methods reveal crucial details about the diffusion coefficient's parameter dependence.
  • Dynamical correlations (memory effects) significantly impact diffusion coefficient predictions.

Conclusions:

  • The flower-shaped billiard is a suitable model for studying chaotic diffusion.
  • Dynamical correlations are essential for accurate modeling of diffusion coefficients.
  • Advanced methods are necessary to capture the complex parameter dependence observed in chaotic systems.