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Possible breakdown of the universality of the conductivity critical exponent in an anisotropic percolation system

✍ Scribed by S. Yoon; Sung-Ik Lee

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 260 KB
Volume: 167
Category: Article
ISSN: 0921-4526
DOI: 10.1016/0921-4526(90)90005-f

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✦ Synopsis

Using a computer controlled plotter, we have made a 2D 250 × 250 lattice percolating system on an aluminized mylar sheet. While this sample was generated, the voltage from the interfaced digital multimeter was recorded in a data file. The measured DC conductivity exponent (t) was 1.285-+ 0.031, in good agreement with the recent Monte Carlo simulation. The t-exponent for several different anisotropic ratios (px/p~) was also measured while the global current was flowing along the x-direction. Experimental results for a lattice percolation system of the same size show that t varies from 1.67 to 1.08 as the anisotropic ratio increases from 0.1 to 10. This may indicate the possible breakdown of the t-exponent in an anisotropic percolation system. However, we could not completely exclude the possibility that this may come from the small size of our anisotropic lattice percolating system.

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