Foundation of fractional Langevin equation: Harmonization of a many-body problem
Research output: Contribution to journal › Article
In this study we derive a single-particle equation of motion, from first principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential. Using a harmonization technique, we show that the resulting dynamical equation belongs to the class of fractional Langevin equations, a stochastic framework which has been proposed in a large body of works as a means of describing anomalous dynamics. Our work sheds light on the fundamental assumptions of these phenomenological models and a relation derived by Kollmann.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)|
|Publication status||Published - 2010|