@inproceedings {coSPP2019,
title = {Simulation of continuous-time random walks with anharmonicity},
booktitle = {Proceedings of the 37th Samahang Pisika ng Pilipinas Physics Conference},
year = {2019},
month = {29 May 2019},
pages = {SPP-2019-PB-48},
address = {Tagbilaran City, Philippines},
abstract = {Anomalous diffusion processes are best described and analyzed by a continuous-time random walk (CTRW) formalism. The latter is a generalization of a transport model using random walk processes that are not limited to Markovian systems. Using a robust numerical generation of continuous trajectories based on Langevin equations, sample paths from a CTRW system encountering a nonlinear net force were generated and analyzed. The resultant force comprised of a linear repelling term and an anharmonic term, that is, f(x) = -k$_{1}$ x + k$_{2}$ x{\textthreesuperior}. The effect of anharmonicity through varying the k$_{2}$ values on the trajectories was manifested on the waiting time. This is the time at which the particle is relatively stationary. At a fixed stability index α, the results show that generally, waiting times would increase as k$_{2}$ values increased and that there is an optimum value of k$_{2}$ where the waiting time is longest. These results are compared to the case when only the linear force is present.},
url = {https://paperview.spp-online.org/proceedings/article/view/SPP-2019-PB-48},
author = {Co, Richmond and Cristine Villagonzalo}
}