@inproceedings {mactalSPP2019,
	title = {Effects of spatial disorder in modelling the anomalous diffusion of tracer particles on a graphene lattice},
	booktitle = {Proceedings of the 37th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2019},
	month = {29 May 2019},
	pages = {SPP-2019-PB-18},
	address = {Tagbilaran City, Philippines},
	abstract = {Modern microscopic techniques such as high resolution transmission electron microscopy have been developed by experimentalists in order to track the anomalous diffusion of tracer particles. By using the site percolation model, this paper investigated the effects of spatial disorder on a graphene lattice and how parameters such as the percolation threshold contributes to a significant deviation from the linear diffusion equation. In order to obtain the numerical percolation threshold, a cluster-identifying algorithm was developed. This value was found to be 0.7139 which has a theoretical deviation of 2.542\%. After establishing this, simulations of the particle diffusing on the percolating system with p=0.7139 were done and its mean squared displacement (MSD) at each time step t was extracted. After analysis of the log-log plot of the MSD vs. number of steps taken, it was found that the particle exhibited subdiffusive behavior for the different cases tested because it violated Einstein{\textquoteright}s third condition for linear diffusion.},
	url = {https://paperview.spp-online.org/proceedings/article/view/SPP-2019-PB-18},
	author = {Gerard Antonio L Mactal and Cristine Villagonzalo}
}
@inproceedings {463,
	title = {Investigating the diffusion of an atom on the graphene lattice},
	booktitle = {Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2018},
	month = {6{\textendash}9 June 2018},
	pages = {SPP-2018-PB-04},
	address = {Puerto Princesa City, Philippines},
	abstract = {Atomic-scale surface diffusion in graphene is of recent interest to determine the viability of single-atom catalysts in functionalized graphene materials. To model such behavior, we study the random walk behavior of an atom in graphene using mean square displacement (MSD). Without the presence of a driving force, the atom performing a random walk on the graphene lattice would expect to follow linear Brownian motion. We confirm this linear behavior by measuring its mean square displacement (MSD). As the atom was given a driving force, the relationship between MSD and time steps begin to follow the properties of anomalous diffusion. The highest values of a was obtained when the atom was restricted to the first six nearest neighbors while the highest diffusion coeffcient Da was obtained when the atom is free to move to all lattice sites. The power-law relationship between MSD and time step can be controlled and serve as a precursor in understanding how the metal atom diffuses on graphene-oxide support.},
	url = {https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PB-04},
	author = {Gerard Antonio L Mactal and Cristine Villagonzalo}
}
