Foundation of fractional Langevin equation: Harmonization of a many-body problem

Summary, in English

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.

• Författare: Ludvig Lizana; Tobias Ambjörnsson; Alessandro Taloni; Eli Barkai; Michael A. Lomholt
• Avdelning/ar: Beräkningsbiologi och biologisk fysik - Har omorganiserats
• Publiceringsår: 2010
• Språk: Engelska
• Publikation/Tidskrift/Serie: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
• Volym: 81
• Issue: 5
• Länkar: http://dx.doi.org/10.1103/PhysRevE.81.051118
• Dokumenttyp: Artikel i tidskrift
• Förlag: American Physical Society
• Ämne: Biophysics; Other Physics Topics
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 1539-3755