M. Victoria Carpio-Bernido, Wilson I. Barredo, Christopher C. Bernido
Time-dependent diffusion coefficients arise from anomalous diffusion encountered in many physical systems such as protein transport in cells. We compare these coefficients with those arising from analysis of stochastic processes with memory that go beyond fractional Brownian motion. Facilitated by the Hida white noise functional integral approach, diffusion propagators or probability density functions (pdf) are obtained and shown to be solutions of modified diffusion equations with time-dependent diffusion coefficients. This should be useful in the study of complex transport processes. © 2017 Author(s).
Research Center for Theoretical Physics, Central Visayan Institute Foundation, Jagna, Bohol, 6308, Philippines; Physics Department, University of San Carlos, Cebu City, 6000, Philippines; Physics Department, MSU, Iligan Institute of Technology, Iligan City, 9200, Philippines; Physics Department, Mindanao State University (MSU), Marawi City, 9700, Philippines
