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

Critical exponents for diluted resistor networks.

O Stenull1, H K Janssen, K Oerding

  • 1Institut für Theoretische Physik III, Heinrich-Heine-Universität, Universitätsstrasse 1, 40225 Düsseldorf, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 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

Multifunctional twisted kagome lattices: Tuning by pruning mechanical metamaterials.

Physical review. E·2020
Same author

Elasticity of randomly diluted honeycomb and diamond lattices with bending forces.

Journal of physics. Condensed matter : an Institute of Physics journal·2016
Same author

Commentary on "Mechanical properties of monodomain side chain nematic elastomers" by P. Martinoty et al.

The European physical journal. E, Soft matter·2004
Same author

Resistance of Feynman diagrams and the percolation backbone dimension.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same author

Conductivity of continuum percolating systems.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
Same author

Comment on "Critical behavior of a two-species reaction-diffusion problem".

Physical review. E, Statistical, nonlinear, and soft matter physics·2001

This study investigates critical properties of diluted resistor networks using field theory. The research calculates the resistance crossover exponent, verifying previous findings and offering a new method for analyzing these complex systems.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Network Theory

Background:

  • Randomly diluted resistor networks exhibit critical properties near the percolation threshold.
  • Renormalized field theory provides a framework for studying these critical phenomena.
  • Previous work established field theories for random resistor networks.

Purpose of the Study:

  • To investigate the critical properties of randomly diluted resistor networks.
  • To reformulate and utilize an existing field theory for analysis.
  • To provide an alternative method for evaluating Feynman diagrams in this context.

Main Methods:

  • Application of Stephen's approach.
  • Reformulation of Harris and Lubensky's field theory.

Related Experiment Videos

  • Decomposition of principal Feynman diagrams.
  • Interpretation of diagrams as resistor networks.

    • Main Results:

    • Calculation of the resistance crossover exponent (phi) up to second order in epsilon (epsilon=6-d).
    • The derived result for phi is 1 + epsilon/42 + 4*epsilon^2/3087.
    • The calculation method offers an alternative evaluation of Feynman diagrams.

    Conclusions:

    • The calculated resistance crossover exponent verifies previous results.
    • The reformulated field theory and diagram interpretation provide a new analytical approach.
    • This work contributes to the understanding of critical phenomena in disordered systems.