Chain of random resistors: the resistance distribution

B. D. Laikhtman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The distribution of the resistance of a chain which is made of resistors with random activation energies is studied. The main purpose is to study the case of low temperature when the distribution of the resistances comprising the chain is exponentially wide and the chain resistance is typically characterized by the resistor with maximal activation energy. It appears that in this case the chain resistance distribution is so wide that the standard deviation of the resistance is much larger than the average value for the resistor with maximal activation energy. This result makes the characterization of the chain by any average resistance meaningless. The chain resistance distribution in this case appears to be not universal and strongly depends on the activation energy distribution.

Original languageEnglish
Pages (from-to)7409-7420
Number of pages12
JournalJournal of Physics Condensed Matter
Volume12
Issue number33
DOIs
StatePublished - 21 Aug 2000

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