@inproceedings {621,
	title = {Fractal dimension, critical exponents, and weak universality on a modified 2D Ising model},
	booktitle = {Proceedings of the 41st Samahang Pisika ng Pilipinas Physics Conference},
	year = {2023},
	month = {19{\textendash}21 July 2023},
	pages = {SPP-2023-PA-07},
	address = {Siargao},
	abstract = {We investigate the behavior of a 2D square Ising system with central regions without spins, providing insights into its critical behavior and dimensionality. Increasing the density of these regions changes the dimensionality of the finite lattice, and the critical temperature decreases as the blocked region density increases, consistent with a similar percolation study in 2D. The fractal dimension tends towards D = 1 as the density of blocked sites increases, indicating a more one-dimensional lattice system. Results from the analysis of modified Ising system, where the value of β varies with the degree of dilution or the density of blocked region, ρ, supports the weak universality hypothesis.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2023-PA-07},
	author = {Kryss C. Urbano and Ronald S. Banzon}
}
@inproceedings {580,
	title = {Fractal dimension in a modified 2D Ising system with regions without spin},
	booktitle = {Proceedings of the 40th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2022},
	month = {19{\textendash}21 Oct 2022},
	pages = {SPP-2022-PB-09},
	address = {Legazpi City},
	abstract = {We investigate the change in dimensionality of an Ising system by increasing the area of a central region without spin, essentially decreasing the density of sites with spin. We describe this change by analyzing the geometrical phase transition and change in magnetization as the system changes. We estimate the critical temperature for each lattice with blocked region density ρ and found that the critical temperature decreases as the blocked region density increases suggesting that the reduced dimensionality affects the critical behavior for each ρ. Fractal dimension is also measured by determining the cluster size and radius of gyration and using their power-law relation to estimate its value. It is found that general trend of the plot tends towards D = 1 as the density of blocked sites ρ increases, indicating that the dimension is becoming more one-dimensional.},
	url = {https://proceedings.spp-online.org/article/view/SPP-2022-PB-09},
	author = {Kryss C. Urbano and Ronald S. Banzon}
}