Information theory and resistance fluctuations in one-dimensional disordered conductors

Phys. Rev. B 31, 3109 – Published 1 March 1985
N. Kumar and P. A. Mello


A novel method is proposed to treat the problem of the random resistance of a strictly one-dimensional conductor with static disorder. For the probability distribution of the transfer matrix R of the conductor we propose a distribution of maximum information entropy, constrained by the following physical requirements: (1) flux conservation, (2) time-reversal invariance, and (3) scaling with the length of the conductor of the two lowest cumulants of ω, where R=exp(iω→⋅Jbhat). The preliminary results discussed in the text are in qualitative agreement with those obtained by sophisticated microscopic theories.


  • Received 28 September 1984
  • Published in the issue dated 1 March 1985

© 1985 The American Physical Society

Authors & Affiliations

N. Kumar

  • Department of Physics, Indian Institute of Science, Bangalore 560012, India

P. A. Mello

  • Physics Department, University of WisconsinMadison, Madison, Wisconsin and Instituto de Física, Universidad Nacional Autonoma de Mexico, Mexico

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