Bose Einstein condensate on substrates; Entropy; Heisenberg uncertainty principle; Zero point motion; quantum particles adsorbed on substrates.

The lattice Green's function method is employed to analyze the resistance of a triangularnetwork consisting of identical resistors in both perfect and perturbed scenarios, where a singleinterstitial resistance is added. In the perfect lattice scenario, all resistors are assumed to haveequal resistance, and the network is considered ideal with no imperfections. To calculate thelattice Green's function and resistance of the perturbed lattice, Dyson's equation is utilized,which relates the perturbed and unperturbed Green's function and the interstitial resistancevalue. To validate the dependability of the lattice Green's function method in predicting thebehavior of intricate networks, the accuracy of the computed values is evaluated by comparingthem with the measured values for an infinite triangular network.