Percolation in a symmetric random potential |
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| Affiliation: | 1. Department of Psychiatry and Behavioral Neurobiology, University of Alabama at Birmingham, Birmingham, AL, 35294, United States;2. Department of Nutrition Sciences, University of Alabama at Birmingham, Birmingham, AL, 35294, United States;1. Department of Pharmacy Practice and Administrative Sciences, University of New Mexico, Albuquerque, NM, USA;2. Department of Family and Community Medicine, University of New Mexico, Albuquerque, NM, USA;3. Department of Obstetrics and Gynecology, University of New Mexico, Albuquerque, NM, USA;4. Department of Neurosciences, University of New Mexico, Albuquerque, NM, USA |
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| Abstract: | We study percolation in a two-dimensional random Gaussian potential and calculate pc, the critical exponents υ, β, γ, the fractal dimension of the percolating equipotential lines, and the amplitude ratio C+/C− of the perlocation susceptibility χ. These quantities including the amplitude ratio match the known results of the two-dimensional lattice percolation models. |
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