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

Crossover from a square to a hexagonal pattern in faraday surface waves

Wagner1, Muller, Knorr

  • 1Institut fur Technische Physik, Universitat des Saarlandes, Postfach 151150, D-66041 Saarbrucken, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
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

High-Resolution UV Laser Spectroscopy of Jet-Cooled Benzene Molecules: Complete Rotational Analysis of the S1 <-- S0 6(1)0 (l = +/-1) Band.

Journal of molecular spectroscopy·1999
Same author

Hyperfine Constants and Nuclear Shieldings from the Microwave Spectra of FBO, ClBO, and FBS.

Journal of molecular spectroscopy·1998
Same author

The Effect of Salt Concentration on Adsorption of Low-Charge-Density Polyelectrolytes and Interactions between Polyelectrolyte-Coated Surfaces.

Journal of colloid and interface science·1998
Same author

The role of conspecifics in habitat settlement in a territorial grasshopper.

Animal behaviour·1998
Same author

Antimicrobial activity of exocrine glandular secretions, hemolymph, and larval regurgitate of the mustard leaf beetle phaedon cochleariae

Journal of invertebrate pathology·1998
Same author

Dispersion pre-compensation of 15 femtosecond optical pulses for high-numerical-aperture objectives.

Journal of microscopy·1998

Surface wave patterns in a Faraday experiment exhibit distinct behaviors based on their temporal dependence. Square and hexagonal patterns emerge due to interactions between subharmonic and harmonic modes, analogous to crystallography.

Area of Science:

  • Physics
  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Faraday experiments demonstrate pattern formation in fluid interfaces due to parametric instability.
  • Understanding pattern selection mechanisms is crucial for nonlinear physics.
  • Previous studies often focused on deeper fluid layers, limiting insights into shallow-level dynamics.

Purpose of the Study:

  • To investigate surface wave pattern formation in a Faraday experiment at a very shallow filling level.
  • To analyze the interaction between subharmonic and harmonic modes and their influence on pattern selection.
  • To explore the transformation of surface wave patterns through bifurcations and their relation to crystallography.

Main Methods:

  • Conducting a Faraday instability experiment with a very shallow fluid layer.

Related Experiment Videos

  • Observing and analyzing surface wave patterns under varying experimental conditions.
  • Utilizing concepts from crystallography to describe pattern symmetries and transformations.

    • Main Results:

    • Identified distinct pattern selection mechanisms for subharmonic (squares) and harmonic (hexagons) modes.
    • Observed a series of bifurcations where surface wave patterns transformed between incompatible symmetries.
    • Demonstrated a direct analogy between the observed pattern transformations and two- and three-dimensional crystallography.

    Conclusions:

    • The filling level significantly influences surface wave pattern formation and selection in Faraday experiments.
    • Interactions between modes with different temporal dependencies lead to distinct pattern symmetries.
    • The study highlights a strong connection between fluid dynamics pattern formation and crystallographic principles.