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

Optimizing transport in a homogeneous network.

Marc Durand1, Denis Weaire

  • 1DEAS, Harvard University, 29 Oxford Street, Cambridge, Massachusetts 02138, USA. mdurand@deas.harvard.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
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

Slow modulation of the contraction patterns in Physarum polycephalum.

Journal of the Royal Society, Interface·2026
Same author

Pleomorphic adenoma of the parapharyngeal space: a case report.

Journal of medical case reports·2026
Same author

Nematic Torques in Scalar Active Matter: When Fluctuations Favor Polar Order and Persistence.

Physical review letters·2024
Same author

Early detection of pharyngocutaneous fistulae after total laryngectomy by cytokine in drainage: A pilot study (DEFILAC).

Head & neck·2023
Same author

Arboviral Risk Associated with Solid Organ and Hematopoietic Stem Cell Grafts: The Prophylactic Answers Proposed by the French High Council of Public Health in a National Context.

Viruses·2023
Same author

Frame tension governs the thermal fluctuations of a fluid membrane: new evidence.

Soft matter·2022
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

Researchers found an upper bound for average conductivity in transport networks. This bound, dependent on channel properties, helps optimize network efficiency for physics, biology, and engineering applications.

Area of Science:

  • Physics
  • Biology
  • Engineering
  • Network Science

Background:

  • Many systems involve transporting physical quantities through networks of narrow channels.
  • Network transport capacity is often described by average conductivity.
  • Understanding these transport properties is crucial across scientific disciplines.

Purpose of the Study:

  • To determine an upper bound for the average conductivity of transport networks.
  • To identify conditions that maximize this average conductivity.
  • To provide a framework for optimizing network design in various applications.

Main Methods:

  • Derivation of an upper bound for average conductivity.
  • Analysis of channel permeability and length distributions.

Related Experiment Videos

  • Identification of network structure conditions for maximal conductivity.

    • Main Results:

    • An explicit expression for the upper bound of average conductivity was derived.
    • The upper bound is a function of channel permeability and length distributions.
    • Necessary and sufficient conditions for maximizing average conductivity were established.

    Conclusions:

    • The study provides a theoretical upper limit for network transport efficiency.
    • Optimizing network structure, independent of connectivity, is key to maximizing conductivity.
    • Findings are applicable to diverse physical, biological, and engineering systems.