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

Coherent structures and entropy in constrained, modulationally unstable, nonintegrable systems.

B Rumpf1, A C Newell

  • 1Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom.

Physical Review Letters
|August 11, 2001
PubMed
Summary

Nonintegrable systems with multiple conservation laws develop large structures over time. Simple thermodynamic arguments explain this universal behavior in complex systems.

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

Camostat Mesylate Versus Lopinavir/Ritonavir in Hospitalized Patients With COVID-19-Results From a Randomized, Controlled, Open Label, Platform Trial (ACOVACT).

Frontiers in pharmacology·2022
Same author

The Combination of APRI and ALBI Facilitates Preoperative Risk Stratification for Patients Undergoing Liver Surgery After Neoadjuvant Chemotherapy.

Annals of surgical oncology·2019
Same author

Observations on the Management of Idiopathic Proctitis [Abridged].

Proceedings of the Royal Society of Medicine·2009
Same author

Laser-induced breakdown versus self-focusing for focused picosecond pulses in water.

Optics letters·2009
Same author

Short-pulse conical emission and spectral broadening in normally dispersive media.

Optics letters·2009
Same author

Self-focusing threshold in normally dispersive media.

Optics letters·2009

Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Nonintegrable systems with multiple conservation laws often display complex dynamics.
  • Modulational instabilities are a key feature in these systems, leading to emergent structures.

Purpose of the Study:

  • To explain the universal long-time behavior of nonintegrable systems.
  • To provide a thermodynamic basis for the formation of large coherent structures.

Main Methods:

  • Analysis of systems with modulational instabilities.
  • Application of thermodynamic arguments.

Main Results:

  • Demonstrated universal long-time behavior in studied systems.
  • Explained the emergence of large coherent structures from small fluctuations.

Related Experiment Videos

  • Provided a detailed thermodynamic explanation for observed phenomena.

    • Conclusions:

    • Thermodynamic arguments offer a powerful tool for understanding complex system dynamics.
    • The universal behavior observed is a consequence of fundamental thermodynamic principles.