Journal
TRANSPORT THEORY AND STATISTICAL PHYSICS
Volume 42, Issue 6-7, Pages 365-380Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00411450.2014.922480
Keywords
Brownian motion; charged particles; magnetic field; generalized Langevin equation; correlated noise; viscoelastic fluids
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Funding
- Agency for the Structural Funds of the EU [NFP 26220120033, NFP 26110230061, VEGA 1/0370/12]
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Analytical solutions of the generalized Langevin equation have been found for the time correlation functions describing the motion of a charged Brownian particle in an external magnetic field when the thermal random force in weakly viscoelastic fluids is exponentially correlated in the time. To obtain a correct description at short times, inertial effects are included into the consideration. The found mean square displacement of the particle motion across the field contains a term proportional to the time, a constant term, and exponentially decaying contributions. The solution for a particle trapped in a harmonic well is also found.
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