The modified Langevin description for probes in a nonlinear medium. (21st December 2016)

• Record Type: Journal Article
• Authors: Krüger, Matthias; Maes, Christian
• Is Part Of: Journal of physics. Volume 29:Number 6(2017)
• Publication Date: 2016-12-21
• Subjects: Langevin equations -- visco-elastic fluids -- nonlinear systems; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/29/6/064004
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: When the motion of a probe strongly disturbs the thermal equilibrium of the solvent or bath, the nonlinear response of the latter must enter the probe's effective evolution equation. We derive that induced stochastic dynamics using second order response around the bath thermal equilibrium. We discuss the nature of the new term in the evolution equation which is no longer purely dissipative, and the appearance of a novel time-scale for the probe related to changes in the dynamical activity of the bath. A major application for the obtained nonlinear generalized Langevin equation is in the study of colloid motion in a visco-elastic medium.