From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description

Alessandro Taloni
Additional contact information
Alessandro Taloni: Center for Complexity and Biosystems and Department of Physics, University of Milano, Via Celoria 16, 20133 Milano, Italy

Mathematics, 2017, vol. 5, issue 1, 1-11

Abstract: The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces. While usually defined in the overdamped case, in this paper we formally include the inertial term to account for the initial diffusive stages of the stochastic dynamics. We derive the generalized Langevin equation for a probe particle and we show that this equation reduces to the usual Langevin equation for Brownian motion, and to the fractional Langevin equation on the long-time limit.

Keywords: fractional calculus; stochastic processes; Langevin equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/5/1/3/pdf (application/pdf)
https://www.mdpi.com/2227-7390/5/1/3/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:5:y:2017:i:1:p:3-:d:87031

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().