Highly efficient algorithm for percolative transport studies in two dimensions Export

@article{frank88, abstract = {We present a fast algorithm using the Y - ∇ transformation for calculating the conductance of large two-dimensional random resistor lattices. The procedure can also be used to calculate other quantities for which Y - ∇ transformations can be defined. As an example of the method's usefulness; we present extensive data on square random resistor lattices as large as 1000 bonds on a side. Using this data; we estimate that the conductivity exponent t=1.303 -0.014 +0.004 in two dimensions.}, author = {Frank, D. J. and Lobb, C. J.}, citeulike-article-id = {2551125}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevB.37.302}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRB/v37/i1/p302_1}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRB/v37/i1/p302_1}, day = {1}, doi = {10.1103/PhysRevB.37.302}, journal = {Physical Review B}, keywords = {2d, algorithm, cnt, lattice, resistor}, month = {January}, number = {1}, pages = {302+}, posted-at = {2008-03-18 14:17:00}, priority = {2}, publisher = {American Physical Society}, title = {Highly efficient algorithm for percolative transport studies in two dimensions}, url = {http://dx.doi.org/10.1103/PhysRevB.37.302}, volume = {37}, year = {1988} }

TY - JOUR ID - frank88 L3 - citeulike-article-id:2551125 N2 - We present a fast algorithm using the Y - ∇ transformation for calculating the conductance of large two-dimensional random resistor lattices. The procedure can also be used to calculate other quantities for which Y - ∇ transformations can be defined. As an example of the method’s usefulness; we present extensive data on square random resistor lattices as large as 1000 bonds on a side. Using this data; we estimate that the conductivity exponent t=1.303 -0.014 +0.004 in two dimensions. IS - 1 JF - Physical Review B TI - Highly efficient algorithm for percolative transport studies in two dimensions PB - American Physical Society VL - 37 SP - 302 KW - 2d KW - algorithm KW - cnt KW - lattice KW - resistor AU - Frank, DJ AU - Lobb, CJ PY - 1988/01/01/ UR - http://dx.doi.org/10.1103/PhysRevB.37.302 ER -