Generalized Langevin Equation with Hydrodynamic Backflow: Equilibrium Properties
arXiv:1412.3235 · doi:10.1016/j.physa.2014.12.008
Abstract
We review equilibrium properties for the dynamics of a single particle evolving in a visco--elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included. We discuss the derivation of the explicit expression for the thermal noise correlation function that is consistent with the fluctuation-dissipation theorem. We rely on general time-reversal arguments that apply irrespective of the external potential acting on the particle, but also allow one to retrieve existing results derived for free particles and particles in a harmonic trap. Some consequences for the analysis and interpretation of single-particle tracking experiments are briefly discussed.
References in corpus (9)
- Microrheology, stress fluctuations and active behavior of living cells
- Power laws in microrheology experiments on living cells: comparative analysis and modelling
- Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
- Transition to superdiffusive behavior in intracellular actin-based transport mediated by molecular motors
- Subdiffusive behavior in a trapping potential: mean square displacement and velocity autocorrelation function
- Probing active forces via a fluctuation-dissipation relation: Application to living cells
- Evidence of hydrodynamic and subdiffusive motion of tracers in a viscoelastic medium
- Fluctuation-response relations for nonequilibrium diffusions with memory
- Brownian motion and anomalous diffusion revisited via a fractional Langevin equation
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