title: Composite generalized Langevin equation for Brownian motion in different hydrodynamic and adhesion regimes.
abstract: We present a composite generalized Langevin equation as a unified framework for bridging the hydrodynamic, Brownian, and adhesive spring forces associated with a nanoparticle at different positions from a wall, namely, a bulklike regime, a near-wall regime, and a lubrication regime. The particle velocity autocorrelation function dictates the dynamical interplay between the aforementioned forces, and our proposed methodology successfully captures the well-known hydrodynamic long-time tail with context-dependent scaling exponents and oscillatory behavior due to the binding interaction. Employing the reactive flux formalism, we analyze the effect of hydrodynamic variables on the particle trajectory and characterize the transient kinetics of a particle crossing a predefined milestone. The results suggest that both wall-hydrodynamic interactions and adhesion strength impact the particle kinetics.
authors.affiliation: Department of Chemical and Biomolecular Engineering and Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: Hsiu-Yu
authors.initials: HY
authors.lastname: Yu
authors.affiliation: Department of Anesthesiology and Critical Care and Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: David M
authors.initials: DM
authors.lastname: Eckmann
authors.affiliation: Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: Portonovo S
authors.initials: PS
authors.lastname: Ayyaswamy
authors.affiliation: Department of Bioengineering and Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: Ravi
authors.initials: R
authors.lastname: Radhakrishnan
mesh_terms: D000268:Adhesiveness; D057446:Hydrodynamics; D007700:Kinetics; D008962:Models, Theoretical; D009038:Motion; D053758:Nanoparticles; D013269:Stochastic Processes