Department
Physics
Major
Physics and Applied Mathematics
Research Advisor
Vojta, Thomas
Advisor's Department
Physics
Funding Source
Cottrell Seed Award (ResCorp) and National Science Foundation (U.S.)
Abstract
Fractional Brownian Motion (FBM) is a Gaussian stochastic process with long-range correlations and a paradigmatic model for anomalous diffusion. For FBM confined by reflecting boundaries, recent work [1] demonstrated unusual accumulation and depletion of particles close to the walls. In many applications of FBM to physics, chemistry, and beyond, the long-range correlations are cut off (tempered) beyond a certain time scale [2]. Here, we study the behavior of tempered FMB in the presence of reflecting walls. More specifically, we analyze the probability density of tempered FBM on a one-dimensional interval between two reflecting wall.
Biography
Zachary Miller is a junior dual major in math and physics who has been doing research work on this project continuously since his sophomore year. He has remained involved on campus in leadership and honors organizations as well as he has been the president of the Society of Physics students since his sophomore year. He has had presented on this very same work to March Meeting, an international physics conference. He is hoping to complete a paper on this work by the end of this semester.
Research Category
Sciences
Presentation Type
Poster Presentation
Document Type
Poster
Presentation Date
28 Apr 2017, 10:15 am - 10:30 am
Included in
Tempered FBM with Reflecting Walls
Fractional Brownian Motion (FBM) is a Gaussian stochastic process with long-range correlations and a paradigmatic model for anomalous diffusion. For FBM confined by reflecting boundaries, recent work [1] demonstrated unusual accumulation and depletion of particles close to the walls. In many applications of FBM to physics, chemistry, and beyond, the long-range correlations are cut off (tempered) beyond a certain time scale [2]. Here, we study the behavior of tempered FMB in the presence of reflecting walls. More specifically, we analyze the probability density of tempered FBM on a one-dimensional interval between two reflecting wall.
