Conductance of a plane containing random cuts

Jan Tobochnik, M. A. Dubson, M. L. Wilson, Michael Thorpe

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

In this paper we make the first careful comparison between a computer simulation and an experimental measurement of the conductance of a two-dimensional continuum random conducting medium. In the experiment horizontal and vertical slits are cut in a conducting sheet. The centers of the slits are randomly positioned, and the conductance is measured all the way to percolation. The measurements are consistent with the expected critical exponent for the conductance of t=1.3. The experimental results are compared with computer simulations of ants that are parachuted to random starting points and then diffuse with a Brownian motion. From the behavior at large times, the diffusion constant can be found and hence the conductance, using the Einstein relation. The agreement with experiment is good except near the critical point. We conclude that the analog experiment is superior to the digital computations in this continuum system. This is the reverse of the situation in discrete lattice systems.

Original languageEnglish (US)
Pages (from-to)5370-5376
Number of pages7
JournalPhysical Review A
Volume40
Issue number9
DOIs
StatePublished - 1989
Externally publishedYes

Fingerprint

slits
computerized simulation
continuums
critical point
conductors
exponents
analogs
conduction

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Tobochnik, J., Dubson, M. A., Wilson, M. L., & Thorpe, M. (1989). Conductance of a plane containing random cuts. Physical Review A, 40(9), 5370-5376. https://doi.org/10.1103/PhysRevA.40.5370

Conductance of a plane containing random cuts. / Tobochnik, Jan; Dubson, M. A.; Wilson, M. L.; Thorpe, Michael.

In: Physical Review A, Vol. 40, No. 9, 1989, p. 5370-5376.

Research output: Contribution to journalArticle

Tobochnik, J, Dubson, MA, Wilson, ML & Thorpe, M 1989, 'Conductance of a plane containing random cuts', Physical Review A, vol. 40, no. 9, pp. 5370-5376. https://doi.org/10.1103/PhysRevA.40.5370
Tobochnik J, Dubson MA, Wilson ML, Thorpe M. Conductance of a plane containing random cuts. Physical Review A. 1989;40(9):5370-5376. https://doi.org/10.1103/PhysRevA.40.5370
Tobochnik, Jan ; Dubson, M. A. ; Wilson, M. L. ; Thorpe, Michael. / Conductance of a plane containing random cuts. In: Physical Review A. 1989 ; Vol. 40, No. 9. pp. 5370-5376.
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