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

Localization threshold of instantaneous normal modes from level-spacing statistics.

Stefano Ciliberti1, Tomás S Grigera

  • 1Departamento de Física Teórica I, Universidad Complutense de Madrid, Madrid 28040, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
Summary

Supercooled liquids exhibit unique normal mode statistics. Below the mode coupling temperature, most negative eigenmodes are extended, not localized, revealing key liquid dynamics.

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

Lineage topology, replication kinetics and cell cycle synchronization reveal regulated growth dynamics in human bone marrow stromal cell colonies.

Scientific reports·2026
Same author

Behavior of the scaling correlation functions under severe subsampling.

Physical review. E·2025
Same author

Mean-field solution of the neural dynamics in a Greenberg-Hastings model with excitatory and inhibitory units.

Physical review. E·2024
Same author

Inertial spin model of flocking with position-dependent forces.

Physical review. E·2024
Same author

Scale-free correlations in the dynamics of a small (N∼10000) cortical network.

Physical review. E·2023
Same author

Fluctuations in tissue growth portray homeostasis as a critical state and long-time non-Markovian cell proliferation as Markovian.

Royal Society open science·2023

Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Soft matter physics

Background:

  • Supercooled liquids exhibit complex dynamics near the glass transition.
  • Normal modes describe collective atomic vibrations and their properties are crucial for understanding liquid behavior.
  • The density of states for these modes can reveal information about their spatial extent (extended vs. localized).

Purpose of the Study:

  • To investigate the statistical properties of instantaneous normal modes (INMs) in supercooled liquids.
  • To identify the mobility edge that distinguishes between extended and localized modes within the negative tail of the density of states.
  • To determine the fraction of localized modes at temperatures below the mode coupling temperature.

Main Methods:

  • Analysis of the statistics of level spacing for INMs.

Related Experiment Videos

  • Detailed characterization of the density of states for INMs.
  • Determination of the mobility edge separating extended and localized modes.

    • Main Results:

    • A mobility edge was successfully determined, separating extended and localized normal modes.
    • In the negative tail of the density of states, a clear distinction between extended and localized modes was observed.
    • At temperatures below the mode coupling temperature, only a small fraction of negative eigenmodes were found to be localized.

    Conclusions:

    • The study provides insights into the nature of vibrational modes in supercooled liquids.
    • The findings suggest that extended modes dominate the dynamics below the mode coupling temperature.
    • Understanding mode localization is critical for theories of the glass transition.