Title

Fractional Brownian Motion with an Absorbing Wall

Presenter Information

Alex Warhover

Department

Physics

Major

Physics, Computer Science

Research Advisor

Vojta, Thomas

Advisor's Department

Physics

Funding Source

National Science Foundation

Abstract

Fractional Brownian motion, a random walk with long-time power-law correlations between its steps, is a prototypical model for anomalous diffusion. We employ large scale Monte Carlo simulations to investigate fractional Brownian motion in the presence of an absorbing wall. In the limit of vanishing correlations, our findings reproduce the well-known results for normal diffusion. In contrast, the interplay between the absorbing wall and the long-range power correlations leads to a singular probability density close to the wall. We compare our results to those of Brownian Motion in the presence of a reflecting wall, and we discuss implications of our results.

Biography

Alex Warhover is a Physics and Computer Science Dual Major. Alex is interested in looking for ways where knowledge from one field can aid work in the other, namely in the field of computational methods for Physics research or Physics problem solving techniques for Computer Science. Alex hopes to go to go on doing work in computational physics or making computational tools for science research. Alex is also an active member of the Society of the Society of Physics Students.

Research Category

Sciences

Presentation Type

Poster Presentation

Document Type

Poster

Award

Sciences poster session, Second place

Location

Upper Atrium

Presentation Date

16 Apr 2019, 9:00 am - 3:00 pm

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Apr 16th, 9:00 AM Apr 16th, 3:00 PM

Fractional Brownian Motion with an Absorbing Wall

Upper Atrium

Fractional Brownian motion, a random walk with long-time power-law correlations between its steps, is a prototypical model for anomalous diffusion. We employ large scale Monte Carlo simulations to investigate fractional Brownian motion in the presence of an absorbing wall. In the limit of vanishing correlations, our findings reproduce the well-known results for normal diffusion. In contrast, the interplay between the absorbing wall and the long-range power correlations leads to a singular probability density close to the wall. We compare our results to those of Brownian Motion in the presence of a reflecting wall, and we discuss implications of our results.