TY  - JOUR
A1  - Vojta, Thomas
A1  - Skinner, Sarah
A1  - Metzler, Ralf
T1  - Probability density of the fractional Langevin equation with reflecting walls
T2  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We investigate anomalous diffusion processes governed by the fractional Langevin equation and confined to a finite or semi-infinite interval by reflecting potential barriers. As the random and damping forces in the fractional Langevin equation fulfill the appropriate fluctuation-dissipation relation, the probability density on a finite interval converges for long times towards the expected uniform distribution prescribed by thermal equilibrium. In contrast, on a semi-infinite interval with a reflecting wall at the origin, the probability density shows pronounced deviations from the Gaussian behavior observed for normal diffusion. If the correlations of the random force are persistent (positive), particles accumulate at the reflecting wall while antipersistent (negative) correlations lead to a depletion of particles near the wall. We compare and contrast these results with the strong accumulation and depletion effects recently observed for nonthermal fractional Brownian motion with reflecting walls, and we discuss broader implications.
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/47996
SN  - 2470-0045
SN  - 2470-0053
VL  - 100
IS  - 4
PB  - American Physical Society
CY  - College Park
ER  -