Brownian oscillators driven by correlated noise in a moving trap

Details Brownian oscillators driven by correlated noise in a moving trap Brownian oscillators driven by correlated noise in a moving trap

2012-02-20

arxiv.org/abs/1202.4429v1

Journal of Electrical Engineering 63 (2012) 53-58

Physics

Condensed Matter

Statistical Mechanics

Presented at the 17th International Conference Applied Physics of Condensed Matter (APCOM 2011), Novy Smokovec, High Tatras, S

Scientific paper

10.2478/v10187-012-0008-8

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the chaotic force driving the particle is correlated in time. The dynamics of the particle is described by the generalized Langevin equation with the inertial term, a coloured noise force, and a memory integral. We consider two kinds of the memory in the system. The first one corresponds to the exponentially correlated noise in a weakly viscoelastic fluid and in the second case the memory naturally arises within the Navier-Stokes hydrodynamics. Exact analytical solutions are obtained in both the cases using a simple and effective method not applied so far in this kind of problems.

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